Engineering: Mechanics of fluids Books

Book SynopsisIn the early years of aviation, there was an intense dispute between British and German experts over the question of why and how an aircraft wing provides lift. This title reveals the impact that the divergent mathematical traditions of Cambridge and Gottingen had on this debate.Trade Review"A masterpiece of writing and research. David Bloor brings his varied background to the table, writing the only book that describes a wonderful mixture of the scientific, historical, philosophical, and sociological forces that help to explain the 'enigma' of the aerofoil." (John D. Anderson Jr., National Air and Space Museum, Smithsonian Institution)"

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Book SynopsisIn the early years of aviation, there was an intense dispute between British and German experts over the question of why and how an aircraft wing provides lift. This title reveals the impact that the divergent mathematical traditions of Cambridge and Gottingen had on this debate.Trade Review"A masterpiece of writing and research. David Bloor brings his varied background to the table, writing the only book that describes a wonderful mixture of the scientific, historical, philosophical, and sociological forces that help to explain the 'enigma' of the aerofoil." (John D. Anderson Jr., National Air and Space Museum, Smithsonian Institution)"

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Book SynopsisBasic Helicopter Aerodynamics is widely appreciated as an easily accessible, rounded introduction to the first principles of the aerodynamics of helicopter flight. Simon Newman has brought this third edition completely up to date with a full new set of illustrations and imagery. An accompanying websiteTrade Review“In summary, this greatly improved edition is going to be of interest to all those young people wishing to embark on the understanding of the helicopter, without the fuss of too much detail and too much theory.” (Aeronautical Journal, 1 August 2013)Table of ContentsAbout the Authors xi Series Preface xiii Preface to First Edition xv Preface to Second Edition xvii Preface to Third Edition xix Notation xxiii Units xxvii Abbreviations xxix 1 Introduction 1 1.1 Looking Back 1 1.1.1 Early Years 1 1.1.2 First World War Era 3 1.1.3 Inter-war Years 3 1.1.4 Second World War Era 6 1.1.5 Post-war Years 7 1.1.6 The Helicopter from an Engineering Viewpoint 13 1.2 Book Presentation 22 Reference 22 2 Rotor in Vertical Flight: Momentum Theory and Wake Analysis 23 2.1 Momentum Theory for Hover 23 2.2 Non-dimensionalization 25 2.3 Figure of Merit 26 2.4 Axial Flight 29 2.5 Momentum Theory for Vertical Climb 29 2.6 Modelling the Streamtube 34 2.7 Descent 37 2.8 Wind Tunnel Test Results 45 2.9 Complete Induced-Velocity Curve 49 2.9.1 Basic Envelope 49 2.9.2 Autorotation 51 2.9.3 Ideal Autorotation 52 2.10 Summary Remarks on Momentum Theory 52 2.11 Complexity of Real Wake 53 2.12 Wake Analysis Methods 55 2.13 Ground Effect 58 2.14 Brownout 60 References 61 3 Rotor in Vertical Flight: Blade Element Theory 63 3.1 Basic Method 63 3.2 Thrust Approximations 68 3.3 Non-uniform Inflow 70 3.3.1 Constant Downwash 71 3.4 Ideal Twist 71 3.5 Blade Mean Lift Coefficient 73 3.6 Power Approximations 74 3.7 Tip Loss 76 3.8 Example of Hover Characteristics 78 Reference 78 4 Rotor Mechanisms for Forward Flight 79 4.1 The Edgewise Rotor 79 4.2 Flapping Motion 85 4.3 Rotor Control 88 4.4 Equivalence of Flapping and Feathering 94 4.4.1 Blade Sailing 95 4.4.2 Lagging Motion 95 4.4.3 Coriolis Acceleration 95 4.4.4 Lag Frequency 98 4.4.5 Blade Flexibility 99 4.4.6 Ground Resonance 99 References 109 5 Rotor Aerodynamics in Forward Flight 111 5.1 Momentum Theory 111 5.2 Descending Forward Flight 115 5.3 Wake Analysis 120 5.3.1 Geometry of the Rotor Flow 120 5.4 Blade Element Theory 125 5.4.1 Factors Involved 125 5.4.2 Thrust 128 5.4.3 In-Plane H-force 130 5.4.4 Torque and Power 131 5.4.5 Flapping Coefficients 133 5.4.6 Typical Numerical Values 136 References 138 6 Aerodynamic Design 139 6.1 Introductory 139 6.2 Blade Section Design 139 6.3 Blade Tip Shapes 144 6.3.1 Rectangular 144 6.3.2 Swept 144 6.3.3 Advanced Planforms 146 6.4 Tail Rotors 148 6.4.1 Propeller Moment 151 6.4.2 Precession – Yaw Agility 155 6.4.3 Calculation of Downwash 160 6.4.4 Yaw Acceleration 162 6.4.5 Example – Sea King 164 6.5 Parasite Drag 165 6.6 Rear Fuselage Upsweep 168 6.7 Higher Harmonic Control 172 6.8 Aerodynamic Design Process 173 References 177 7 Performance 179 7.1 Introduction 179 7.2 Hover and Vertical Flight 180 7.3 Forward Level Flight 183 7.4 Climb in Forward Flight 184 7.4.1 Optimum Speeds 186 7.5 Maximum Level Speed 187 7.6 Rotor Limits Envelope 187 7.7 Accurate Performance Prediction 188 7.8 AWorld Speed Record 189 7.9 Speculation on the Really Low-Drag Helicopter 191 7.10 An Exercise in High-Altitude Operation 193 7.11 Shipborne Operation 195 References 200 8 Trim, Stability and Control 201 8.1 Trim 201 8.2 Treatment of Stability and Control 204 8.3 Static Stability 205 8.3.1 Incidence Disturbance 206 8.3.2 Forward Speed Disturbance 207 8.3.3 Angular Velocity (Pitch or Roll Rate) Disturbance 207 8.3.4 Sideslip Disturbance 207 8.3.5 Yawing Disturbance 207 8.3.6 General Conclusion 207 8.4 Dynamic Stability 208 8.4.1 Analytical Process 208 8.4.2 Special Case of Hover 208 8.5 Hingeless Rotor 209 8.6 Control 209 8.7 Autostabilization 211 References 213 9 A Personal Look at the Future 215 References 222 Appendix: Performance and Mission Calculation 223 A.1 Introduction 223 A.2 Glossary of Terms 224 A.3 Overall Aircraft 224 A.3.1 Main Rotor 225 A.3.2 Tail Rotor 227 A.3.3 Complete Aircraft 228 A.3.4 Example of Parameter Values 228 A.4 Calculation of Engine Fuel Consumption 229 A.5 Engine Limits 230 A.5.1 Maximum Continuous Power Rating 231 A.5.2 Take-Off or 1 Hour Power Rating 231 A.5.3 Maximum Contingency or 21/2 Minute Power Rating 231 A.5.4 Emergency or 1/2 Minute Power Rating 231 A.6 Calculation of the Performance of a Helicopter 231 A.6.1 Influence of Wind 236 A.7 Mission Analysis 237 A.7.1 Calculation Method 238 A.7.2 Atmospheric Parameters 238 A.7.3 Downwash Calculation 239 A.8 Helicopter Power 240 A.9 Fuel Flow 242 A.10 Mission Leg 242 A.11 Examples of Mission Calculations 244 A.12 Westland Lynx – Search and Rescue 245 A.12.1 Description of the Mission 245 A.12.2 Fuel Consumption 246 Index 249

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Book SynopsisThis revised text emphasizes the principles of the physics of flight. The increased importance of automatic control (AFCS) is reflected in an expanded chapter on this subject that prepares students for work with stability augmentation, autopilots and guidance systems.Table of ContentsStatic Stability and Control 1. Static Stability and Control 2. General Equations of Unsteady Motion. The Stability Derivatives. Stability of Uncontrolled Motion. Response to Actuation of the Controls-Open Loop. Closed-Loop Control. Appendices. References. Index.

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Book SynopsisThese exciting books use full--color, and interesting, realistic illustrations to enhance reader comprehension. Also include a large number of worked examples that provide a good balance between initial, confidence building problems and more advanced level problems. Fundamental principles for solving problems are emphasized throughout.Table of ContentsGeneral Principles. Concurrent Force Systems. Statics of Particles. Rigid Bodies: Equivalent Force/Moment Systems. Distributed Forces: Centroids and Center of Gravity. Equilibrium of Rigid Bodies. Trusses, Frames, and Machines. Internal Forces in Structural Members. Friction. Second Moments of Area and Moments of Inertia. Method of Virtual Work. Appendix. Answers to Selected Problems. Index. Photo Credits.

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Book SynopsisA complete introduction to the physics of movement Engineering Mechanics: Dynamics presents the fundamentals of kinematics in a practical way with immediate real-world relevancy. Covering the physics of movement as it relates to particles and rigid bodies, this book explores the applications of Newton''s laws, impulse, momentum, work and energy, vibrations, and much more. In-text conceptual examples illustrate difficult concepts, and end-of-chapter problems help students test both their theoretical and practical understanding. Call-out boxes highlight critical laws and theorems, while color diagrams and charts clarify complex concepts.Table of ContentsGeneral Principles. Kinematics of Particles. Kinematics of Rigid Bodies. Kinetics of Particles: Newton's Law. Kinetics of Rigid Bodies: Newton's Laws. Kinetics of Particles: Work and Energy Methods. Kinetics of Rigid Bodies: Work and Energy Methods. Kinetics of Particles: Impulse and Momentum. Kinetics of Rigid Bodies: Impulse and Momentum. Mechanical Vibrations. Appendices. Answers to Selected Problems. Index. Photo Credits.

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Book SynopsisState-of-the-art coverage of modern computational methods for the analysis and design of beams Analysis and Design of Elastic Beams presents computer models and applications related to thin-walled beams such as those used in mechanical and aerospace designs, where thin, lightweight structures with high strength are needed.Table of ContentsBeams in Bending. Beam Elements. Beam Systems. Finite Elements for Cross-Sectional Analysis. Saint-Venant Torsion. Beams Under Transverse Shear Loads. Restrained Warping of Beams. Analysis of Stress. Rational B-Spline Curves. Shape Optimization of Thin-Walled Sections. Appendix A: Using the Computer Programs. Appendix B: Numerical Examples.

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Book SynopsisTaking an engineering rather than a mathematical bias, this valuable reference resource details the fundamentals of stabilised finite element methods for the analysis of steady and time-dependent fluid dynamics problems.Trade Review“…essential reading for graduate students and researchers in engineering and applied sciences..” (CAB Abstracts)Table of ContentsPreface. 1. Introduction and preliminaries. Finite elements in fluid dynamics. Subjects covered. Kinematical descriptions of the flow field. The basic conservation equations. Basic ingredients of the finite element method. 2. Steady transport problems. Problem statement. Galerkin approximation. Early Petrov-Galerkin methods. Stabilization techniques. Other stabilization techniques and new trends. Applications and solved exercises. 3. Unsteady convective transport. Introduction. Problem statement. The methods of characteristics. Classical time and space discretization techniques. Stability and accuracy analysis. Taylor-Galerkin Methods. An introduction to monotonicity-preserving schemes. Least-squares-based spatial discretization. The discontinuous Galerkin method. Space-time formulations. Applications and solved exercises. 4. Compressible Flow Problems. Introduction. Nonlinear hyperbolic equations. The Euler equations. Spatial discretization techniques. Numerical treatment of shocks. Nearly incompressible flows. Fluid-structure interaction. Solved exercises. 5. Unsteady convection-diffusion problems. Introduction. Problem statement. Time discretization procedures. Spatial discretization procedures. Stabilized space-time formulations. Solved exercises. 6. Viscous incompressible flows. Introduction Basic concepts. Main issues in incompressible flow problems. Trial solutions and weighting functions. Stationary Stokes problem. Steady Navier-Stokes problem. Unsteady Navier-Stokes equations. Applications and Solved Exercices. References. Index.

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Book SynopsisUses an integrated approach to show the interrelationships between thermodynamics, heat transfer and fluid dynamics, stressing the physics of each. Mathematical description is included to allow the solution of simple problems in thermal sciences. New to this edition--SI and English units plus twice as many example problems which emphasize practical applications of the principles discussed.Table of ContentsThermodynamic Concepts and Definitions. Properties of Pure Substances. System Analysis--First and Second Laws. Control Volume Analysis. External Flow--Fluid Viscous and Thermal Effects. Internal Flows--Fluid Viscous and Thermal Effects. Conduction Heat Transfer. Thermal Radiation Heat Transfer. Appendix. Answers to Selected Problems. Index.

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Book SynopsisThis two-volume work is detailed enough to serve as a text and comprehensive enough to stand as a reference. Volume 1, Fluid Mechanics, summarizes the key experiments that show how polymeric fluids differ from structurally simple fluids, then presents, in rough historical order, various methods for solving polymer fluid dynamics problems. Volume 2, Kinetic Theory, uses molecular models and the methods of statistical mechanics to obtain relations between bulk flow behavior and polymer structure. Includes end-of-chapter problems and extensive appendixes.Table of ContentsPOLYMER MODELS AND EQUILIBRIUM PROPERTIES. Mechanical Models for Polymer Molecules. Equilibrium Configurations of Polymer Molecules. ELEMENTARY APPROACH TO KINETIC THEORY. Elastic Dumbbell Models. The Rigid Dumbbell and Multibead-Rod Models. The Bead-Spring Chain Models. General Bead-Rod-Spring Models. A GENERAL PHASE-SPACE KINETIC THEORY. Phase-Space Theory of Polymeric Liquids. Phase-Space Theory for Dilute Solutions. Phase-Space Theory for Concentrated Solutions and Melts. ELEMENTARY KINETIC THEORY FOR NETWORK MODELS. Network Theories for Polymer Melts and ConcentratedSolutions. APPENDICES. Summary of Continuum Mechanics Notation and Results. Useful Mathematical Formulas. Author Index. Subject Index.

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Book SynopsisThis two-volume work is detailed enough to serve as a text and comprehensive enough to stand as a reference. Volume 1, Fluid Mechanics, summarizes the key experiments that show how polymeric fluids differ from structurally simple fluids, then presents, in rough historical order, various methods for solving polymer fluid dynamics problems. Volume 2, Kinetic Theory, uses molecular models and the methods of statistical mechanics to obtain relations between bulk flow behavior and polymer structure. Includes end-of-chapter problems and extensive appendixes.Table of ContentsNewtonian vs Non-Newtonian Behavior. Elementary Constitutive Equations and Their Use in Solving FluidDynamics Problems. Nonlinear Viscoelastic Constitutive Equations and Their Use inSolving Fluid Dynamics Problems. Continuum Mechanics and Its Use in Solving Fluid DynamicsProblems. Polymer Models and Equilibrium Properties. Elementary Approach to Kinetic Theory. A General Phase-Space Kinetic Theory. Elementary Kinetic Theory for Networks Models.

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Book SynopsisVolume V of the High Speed Aerodynamics and Jet Propulsion series. Topics include transition from laminar to turbulent flow; turbulent flow; statistical theories of turbulence; conduction of heat; convective heat transfer and friction in flow of liquids; convective heat transfer in gases; cooling by protective fluid films; physical basis of thermal radiation; and engineering calculations of radiant heat exchange.Originally published in 1959.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 190Table of Contents*Frontmatter, pg. i*Foreword, pg. v*Preface, pg. vii*Contents, pg. ix*A. Transition from Laminar to Turbulent Flow, pg. 1*BETA. Turbulent Flow, pg. 75*C. Statistical Theories of Turbulence, pg. 196*D. Conduction of Heat, pg. 254*EPSILON. Convective Heat Transfer and Friction in Flow of Liquids, pg. 288*F. Convective Heat Transfer in Gases, pg. 339*G. Cooling by Protective Fluid Films, pg. 428*H. Physical Basis of Thermal Radiation, pg. 489*I. Engineering Calculations of Radiant Heat Exchange, pg. 502*Index, pg. 541

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Book SynopsisThis essential book offers a comprehensive guide to the design of vertical gravity concrete sea and quay wall structures for practitioners in the field. Design of Vertical Gravity Sea and Quay Walls covers the complete process from structure type selection through to detail design.

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Book SynopsisPresents the fundamentals and current state of practice of instrumented measurements for monitoring dam performance. Dam performance monitoring is a balance of visual surveillance and instrumental measurements to accurately understand how well a dam is performing.Table of Contents Dedication Acknowledgments Preface Chapter 1 Introduction Chapter 2 Performance Monitoring 2.1 Dam Safety Program 2.2 Dam Owner Responsibility 2.3 Failure Modes 2.4 Surveillance and Monitoring Chapter 3 Failure Modes 3.1 Embankment Dams 3.2 Concrete Gravity Dams 3.3 Concrete Arch Dams 3.4 Other Dams Chapter 4 Planning and Implementing a Monitoring Program 4.1 Planning 4.2 Implementation 4.3 Responsibility and Authority 4.4 Operation and Maintenance Chapter 5 Instrumentation and Measurement Tools 5.1 Instrumentation 5.2 Future Trends 5.3 Critical Performance Indicators 5.4 Factors Affecting Instrument Performance Chapter 6 Geodetic Monitoring 6.1 General 6.2 Survey Methods, Old and New 6.3 Total Stations 6.4 Levels 6.5 Global Positioning 6.6 Light Detection and Ranging 6.7 Future Trends 6.8 Planning and Implementation 6.9 Monumentation 6.10 Data Collection 6.11 Data Analysis 6.12 Reporting Chapter 7 Data Acquisition 7.1 Manual Acquisition 7.2 Automated Acquisition Chapter 8 Data Management and Presentation 8.1 Data are Measurements. Measurements are Data. 8.2 Data Presentation 8.3 Reporting Instrumentation Data Chapter 9 Evaluation, Decision, and Action 9.1 Evaluation 9.2 Decision 9.3 Action Chapter 10 Embankment Dams 10.1 Design 10.2 Performance 10.3 Instrumented Monitoring 10.4 Performance Indicators Chapter 11 Concrete Dams 11.1 Design 11.2 Performance 11.3 11.4 Instrumented Monitoring Chapter 12 Other Dams and Appurtenant Structures 12.1 Other Dams 12.2 Appurtenant Structures Chapter 13 Sample Data Forms and Plots 13.1 Reading Recording Forms and Data Reports 13.2 Data Plots Chapter 14 History of Instrumentation and Monitoring Appendix A References Appendix B Failure Mode Analyses Appendix C Range, Resolution, Accuracy, Precision, and Repeatability Appendix D Glossary of Terms Index

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Book SynopsisAn update of a classic textbook covering a core subject taught on most civil engineering courses. Civil Engineering Hydraulics, 6th edition contains substantial worked example sections with an online solutions manual. This classic text provides a succinct introduction to the theory of civil engineering hydraulics, together with a large number of worked examples and exercise problems. Each chapter contains theory sections and worked examples, followed by a list of recommended reading and references. There are further problems as a useful resource for students to tackle, and exercises to enable students to assess their understanding. The numerical answers to these are at the back of the book, and solutions are available to download from the book?s companion website.Table of ContentsPreface to Sixth Edition xi About the Author xiii Symbols xv 1 Properties of Fluids 1 1.1 Introduction 1 1.2 Engineering units 1 1.3 Mass density and specific weight 2 1.4 Relative density 2 1.5 Viscosity of fluids 2 1.6 Compressibility and elasticity of fluids 2 1.7 Vapour pressure of liquids 2 1.8 Surface tension and capillarity 3 Worked examples 3 References and recommended reading 5 Problems 5 2 Fluid Statics 7 2.1 Introduction 7 2.2 Pascal’s law 7 2.3 Pressure variation with depth in a static incompressible fluid 8 2.4 Pressure measurement 9 2.5 Hydrostatic thrust on plane surfaces 11 2.6 Pressure diagrams 14 2.7 Hydrostatic thrust on curved surfaces 15 2.8 Hydrostatic buoyant thrust 17 2.9 Stability of floating bodies 17 2.10 Determination of metacentre 18 2.11 Periodic time of rolling (or oscillation) of a floating body 20 2.12 Liquid ballast and the effective metacentric height 20 2.13 Relative equilibrium 22 Worked examples 24 Reference and recommended reading 41 Problems 41 3 Fluid Flow Concepts and Measurements 47 3.1 Kinematics of fluids 47 3.2 Steady and unsteady flows 48 3.3 Uniform and non-uniform flows 48 3.4 Rotational and irrotational flows 49 3.5 One-, two- and three-dimensional flows 49 3.6 Streamtube and continuity equation 49 3.7 Accelerations of fluid particles 50 3.8 Two kinds of fluid flow 51 3.9 Dynamics of fluid flow 52 3.10 Energy equation for an ideal fluid flow 52 3.11 Modified energy equation for real fluid flows 54 3.12 Separation and cavitation in fluid flow 55 3.13 Impulse–momentum equation 56 3.14 Energy losses in sudden transitions 57 3.15 Flow measurement through pipes 58 3.16 Flow measurement through orifices and mouthpieces 60 3.17 Flow measurement in channels 64 Worked examples 69 References and recommended reading 85 Problems 85 4 Flow of Incompressible Fluids in Pipelines 89 4.1 Resistance in circular pipelines flowing full 89 4.2 Resistance to flow in non-circular sections 94 4.3 Local losses 94 Worked examples 95 References and recommended reading 115 Problems 115 5 Pipe Network Analysis 119 5.1 Introduction 119 5.2 The head balance method (‘loop’ method) 120 5.3 The quantity balance method (‘nodal’ method) 121 5.4 The gradient method 123 Worked examples 125 References and recommended reading 142 Problems 143 6 Pump–Pipeline System Analysis and Design 149 6.1 Introduction 149 6.2 Hydraulic gradient in pump–pipeline systems 150 6.3 Multiple pump systems 151 6.4 Variable-speed pump operation 153 6.5 Suction lift limitations 153 Worked examples 154 References and recommended reading 168 Problems 168 7 Boundary Layers on Flat Plates and in Ducts 171 7.1 Introduction 171 7.2 The laminar boundary layer 171 7.3 The turbulent boundary layer 172 7.4 Combined drag due to both laminar and turbulent boundary layers 173 7.5 The displacement thickness 173 7.6 Boundary layers in turbulent pipe flow 174 7.7 The laminar sub-layer 176 Worked examples 178 References and recommended reading 185 Problems 185 8 Steady Flow in Open Channels 187 8.1 Introduction 187 8.2 Uniform flow resistance 188 8.3 Channels of composite roughness 189 8.4 Channels of compound section 190 8.5 Channel design 191 8.6 Uniform flow in part-full circular pipes 194 8.7 Steady, rapidly varied channel flow energy principles 195 8.8 The momentum equation and the hydraulic jump 196 8.9 Steady, gradually varied open channel flow 198 8.10 Computations of gradually varied flow 199 8.11 The direct step method 199 8.12 The standard step method 200 8.13 Canal delivery problems 201 8.14 Culvert flow 202 8.15 Spatially varied flow in open channels 203 Worked examples 205 References and recommended reading 241 Problems 241 9 Dimensional Analysis, Similitude and Hydraulic Models 247 9.1 Introduction 247 9.2 Dimensional analysis 248 9.3 Physical significance of non-dimensional groups 248 9.4 The Buckingham 𝜋 theorem 249 9.5 Similitude and model studies 249 Worked examples 250 References and recommended reading 263 Problems 263 10 Ideal Fluid Flow and Curvilinear Flow 265 10.1 Ideal fluid flow 265 10.2 Streamlines, the stream function 265 10.3 Relationship between discharge and stream function 266 10.4 Circulation and the velocity potential function 267 10.5 Stream functions for basic flow patterns 267 10.6 Combinations of basic flow patterns 269 10.7 Pressure at points in the flow field 269 10.8 The use of flow nets and numerical methods 270 10.9 Curvilinear flow of real fluids 273 10.10 Free and forced vortices 274 Worked examples 274 References and recommended reading 285 Problems 285 11 Gradually Varied Unsteady Flow from Reservoirs 289 11.1 Discharge between reservoirs under varying head 289 11.2 Unsteady flow over a spillway 291 11.3 Flow establishment 292 Worked examples 293 References and recommended reading 302 Problems 302 12 Mass Oscillations and Pressure Transients in Pipelines 305 12.1 Mass oscillation in pipe systems – surge chamber operation 305 12.2 Solution neglecting tunnel friction and throttle losses for sudden discharge stoppage 306 12.3 Solution including tunnel and surge chamber losses for sudden discharge stoppage 307 12.4 Finite difference methods in the solution of the surge chamber equations 308 12.5 Pressure transients in pipelines (waterhammer) 309 12.6 The basic differential equations of waterhammer 311 12.7 Solutions of the waterhammer equations 312 12.8 The Allievi equations 312 12.9 Alternative formulation 315 Worked examples 316 References and recommended reading 322 Problems 322 13 Unsteady Flow in Channels 323 13.1 Introduction 323 13.2 Gradually varied unsteady flow 323 13.3 Surges in open channels 324 13.4 The upstream positive surge 325 13.5 The downstream positive surge 326 13.6 Negative surge waves 327 13.7 The dam break 329 Worked examples 330 References and recommended reading 333 Problems 333 14 Uniform Flow in Loose-Boundary Channels 335 14.1 Introduction 335 14.2 Flow regimes 335 14.3 Incipient (threshold) motion 335 14.4 Resistance to flow in alluvial (loose-bed) channels 337 14.5 Velocity distributions in loose-boundary channels 339 14.6 Sediment transport 339 14.7 Bed load transport 340 14.8 Suspended load transport 343 14.9 Total load transport 345 14.10 Regime channel design 346 14.11 Rigid-bed channels with sediment transport 350 Worked examples 352 References and recommended reading 367 Problems 368 15 Hydraulic Structures 371 15.1 Introduction 371 15.2 Spillways 371 15.3 Energy dissipators and downstream scour protection 376 Worked examples 379 References and recommended reading 389 Problems 390 16 Environmental Hydraulics and Engineering Hydrology 393 16.1 Introduction 393 16.2 Analysis of gauged river flow data 393 16.3 River Thames discharge data 395 16.4 Flood alleviation, sustainability and environmental channels 396 16.5 Project appraisal 397 Worked examples 398 References and recommended reading 405 Problems 406 17 Introduction to Coastal Engineering 409 17.1 Introduction 409 17.2 Waves and wave theories 409 17.3 Wave processes 420 17.4 Wave set-down and set-up 428 17.5 Wave impact, run-up and overtopping 429 17.6 Tides, surges and mean sea level 430 17.7 Tsunami waves 432 Worked examples 433 References and recommended reading 438 Problems 439 Answers 441 Index 447

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Book SynopsisThis groundbreaking volume covers the significant advantages of wave technologies in the development of innovative machine building where high technologies with appreciable economic effect are applied. These technologies cover many industries, including the oil-and-gas industry, refining and other chemical processing, petrochemical industry, production of new materials, composite and nano-composites including, construction equipment, environmental protection, pharmacology, power generation, and many others. The technological problem of grinding, fine-scale grinding and activation of solid particles (dry blends) is disclosed. This task is common for the production of new materials across these various industries. At present in this sphere the traditional methods have reached their limits and in some cases are economically ineffective from both scientific and practical points of view. The authors have detailed, through their extensive groundbreaking research, how these new methTable of ContentsPreface xi1 Introduction: Capabilities and Perspectives of Wave Technologies in Industries and in Nanotechnologies 12 Fragmentation and Activation of Dry Solid Components: Wave Turbulization of the Medium and Increasing Process Efficiency 112.1 Calcium Carbonate (limestone) Fragmentation 172.2 Wave Activation of Cements and Cement-limestone Compositions 212.3 Grinding Blast-furnace Sullage 252.4 Production of Coloring Pigment Based on Titanium Dioxide and Dolomitic Marble 272.5 Wave Treatment of Aluminium Oxide 293 Wave Stirring (actuation) of Multicomponent Materials (dry mixes) 353.1 Technologic Experiments with Installations of Wave Mixing 414 Wave Metering Devices and Dosage Metering of Loose Components 475 Creating Automated Wave Treatment Trains of Dry Solid Components: High Effi ciency in a Restricted Manufacturing Room 536 Manufacturing and Wave Treatment Technologies of Emulsions, Suspensions and Foam/Skim 596.1 Stirring (actuation) Wave Technologies of Various Liquids, Including High-viscosity Media 626.2 Hydrodynamic Running (through-flowing) Wave Installations 646.3 Wave Technology for Stirring (actuation) of High-viscosity Media 676.4 Production of Cosmetic Cream 726.6 Production of Finely-dispersed, Chemically Precipitated Barium Sulphate With the Assigned Particle Size 756.7 Accelerating Fermentation of Sponge Wheat Dough After Wave Treatment 817 Wave Mixing of Epoxy Resin with Nanocarbon Micro-additives: Production of Composite Materials 877.1 Experimental Studies of Mixing the Epoxy Resin with Fullerenes 887.2 Experimental Studies Mixing Epoxy Resin Technical Carbon 917.3 Experimental Studies of Mixing Epoxy Resin with Carbon Nanotubes 947.4 Production of Highly-fi lled Composite Materials with Wave Technologies 1017.5 Using the Installation of Wave Mixing for the Preparation of Polymer-cement and Cement Composite Materials Reinforced by Polymer and Inorganic Fibers 1047.6 Production of Organoclay 1088 Wave Technologies for Food, Including Bread Baking and Confectionary Industries 1119 Wave Technologies in Oil Production: Improving Oil, Gas and Condensate Yield 11710 Wave Technologies in Ecology and Energetics 12510.1 Production of Mixed Fuels and Improvement in Combustion Effi ciency 12711 Stabilizing Wave Regimes, Damping Noise, Vibration and Hydraulic Shocks Pipeline Systems 13112 Wave Technologies in Engineering 13713 Wave Technologies in Oil Refi ning, Chemical and Petrochemical Industries 14314 Conclusions: On Wave Engineering 147Literature (the Russian-language original is at the end) 153Index 155

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Book SynopsisAutomotive Aerodynamics Joseph Katz, San Diego State University, USA The automobile is an icon of modern technology because it includes most aspects of modern engineering, and it offers an exciting approach to engineering education.Trade Review"This is where the book by Katz excels and the fundamental fluid principles are extensively covered undera vehicle aerodynamics title"...."Katz’s book will make a prime choice textbook for an undergraduate Automotive Engineering course, as fluid related modules in various academic years can cover the topicspresented in various chapters of the book" Remus Cîrstea, Course Director MSc Automotive Engineering, Lecturer in Fluid Dynamics, Coventry University on behalf of The Aeronautical Jornal, Oct 2017Table of ContentsSeries Preface xii Preface xiv 1 Introduction and Basic Principles 1 1.1 Introduction 1 1.2 Aerodynamics as a Subset of Fluid Dynamics 2 1.3 Dimensions and Units 3 1.4 Automobile/Vehicle Aerodynamics 5 1.5 General Features of Fluid Flow 9 1.5.1 Continuum 10 1.5.2 Laminar and Turbulent Flow 11 1.5.3 Attached and Separated Flow 12 1.6 Properties of Fluids 13 1.6.1 Density 13 1.6.2 Pressure 14 1.6.3 Temperature 14 1.6.4 Viscosity 16 1.6.5 Specific Heat 19 1.6.6 Heat Transfer Coefficient, k 19 1.6.7 Modulus of Elasticity, E 20 1.6.8 Vapor Pressure 22 1.7 Advanced Topics: Fluid Properties and the Kinetic Theory of Gases 23 1.8 Summary and Concluding Remarks 26 Reference 27 Problems 27 2 The Fluid Dynamic Equations 35 2.1 Introduction 35 2.2 Description of Fluid Motion 36 2.3 Choice of Coordinate System 38 2.4 Pathlines, Streak Lines, and Streamlines 39 2.5 Forces in a Fluid 40 2.6 Integral Form of the Fluid Dynamic Equations 43 2.7 Differential Form of the Fluid Dynamic Equations 50 2.8 The Material Derivative 57 2.9 Alternate Derivation of the Fluid Dynamic Equations 59 2.10 Example for an Analytic Solution: Two-Dimensional, Inviscid Incompressible, Vortex Flow 62 2.10.1 Velocity Induced by a Straight Vortex Segment 65 2.10.2 Angular Velocity, Vorticity, and Circulation 66 2.11 Summary and Concluding Remarks 69 References 72 Problems 72 3 One-Dimensional (Frictionless) Flow 81 3.1 Introduction 81 3.2 The Bernoulli Equation 82 3.3 Summary of One-Dimensional Tools 84 3.4 Applications of the One-Dimensional Friction-Free Flow Model 85 3.4.1 Free Jets 85 3.4.2 Examples for Using the Bernoulli Equation 89 3.4.3 Simple Models for Time-Dependent Changes in a Control Volume 93 3.5 Flow Measurements (Based on Bernoulli’s Equation) 96 3.5.1 The Pitot Tube 96 3.5.2 The Venturi Tube 98 3.5.3 The Orifice 100 3.5.4 Nozzles and Injectors 101 3.6 Summary and Conclusions 102 3.6.1 Concluding Remarks 103 Problems 104 4 Dimensional Analysis, High Reynolds Number Flows, and Definition of Aerodynamics 122 4.1 Introduction 122 4.2 Dimensional Analysis of the Fluid Dynamic Equations 123 4.3 The Process of Simplifying the Governing Equations 126 4.4 Similarity of Flows 127 4.5 High Reynolds Number Flow and Aerodynamics 129 4.6 High Reynolds Number Flows and Turbulence 133 4.7 Summary and Conclusions 136 References 136 Problems 136 5 The Laminar Boundary Layer 141 5.1 Introduction 141 5.2 Two-Dimensional Laminar Boundary Layer Model – The Integral Approach 143 5.3 Solutions using the von Kármán Integral Equation 147 5.4 Summary and Practical Conclusions 156 5.5 Effect of Pressure Gradient 161 5.6 Advanced Topics: The Two-Dimensional Laminar Boundary Layer Equations 164 5.6.1 Summary of the Exact Blasius Solution for the Laminar Boundary Layer 167 5.7 Concluding Remarks 169 References 170 Problems 170 6 High Reynolds Number Incompressible Flow Over Bodies: Automobile Aerodynamics 176 6.1 Introduction 176 6.2 The Inviscid Irrotational Flow (and Some Math) 178 6.3 Advanced Topics: A More Detailed Evaluation of the Bernoulli Equation 181 6.4 The Potential Flow Model 183 6.4.1 Methods for Solving the Potential Flow Equations 183 6.4.2 The Principle of Superposition 184 6.5 Two-Dimensional Elementary Solutions 184 6.5.1 Polynomial Solutions 185 6.5.2 Two-Dimensional Source (or Sink) 187 6.5.3 Two-Dimensional Doublet 190 6.5.4 Two-Dimensional Vortex 193 6.5.5 Advanced Topics: Solutions Based on Green’s Identity 196 6.6 Superposition of a Doublet and a Free-Stream: Flow Over a Cylinder 199 6.7 Fluid Mechanic Drag 204 6.7.1 The Drag of Simple Shapes 205 6.7.2 The Drag of More Complex Shapes 210 6.8 Periodic Vortex Shedding 215 6.9 The Case for Lift 218 6.9.1 A Cylinder with Circulation in a Free Stream 218 6.9.2 Two-Dimensional Flat Plate at a Small Angle of Attack (in a Free Stream) 222 6.9.3 Note About the Center of Pressure 224 6.10 Lifting Surfaces: Wings and Airfoils 225 6.10.1 The Two-Dimensional Airfoil 226 6.10.2 An Airfoil’s Lift 228 6.10.3 An Airfoil’s Drag 229 6.10.4 An Airfoil Stall 231 6.10.5 The Effect of Reynolds Number 232 6.10.6 Three-Dimensional Wings 233 6.11 Summary of High Reynolds Number Aerodynamics 248 6.12 Concluding Remarks 249 References 249 Problems 250 7 Automotive Aerodynamics: Examples 262 7.1 Introduction 262 7.2 Generic Trends (For Most Vehicles) 263 7.2.1 Ground Effect 264 7.2.2 Generic Automobile Shapes and Vortex Flows 265 7.3 Downforce and Vehicle Performance 269 7.4 How to Generate Downforce 274 7.5 Tools used for Aerodynamic Evaluations 274 7.5.1 Example for Aero Data Collection: Wind Tunnels 276 7.5.2 Wind Tunnel Wall/Floor Interference 279 7.5.3 Simulation of Moving Ground 281 7.5.4 Expected Results of CFD, Road, or Wind Tunnel Tests (and Measurement Techniques) 283 7.6 Variable (Adaptive) Aerodynamic Devices 286 7.7 Vehicle Examples 291 7.7.1 Passenger Cars 292 7.7.2 Pickup Trucks 298 7.7.3 Motorcycles 299 7.7.4 Competition Cars (Enclosed Wheel) 302 7.7.5 Open-Wheel Racecars 306 7.8 Concluding Remarks 312 References 314 Problems 314 8 Introduction to Computational Fluid Mechanics (CFD) 316 8.1 Introduction 316 8.2 The Finite-Difference Formulation 317 8.3 Discretization and Grid Generation 320 8.4 The Finite-Difference Equation 321 8.5 The Solution: Convergence and Stability 324 8.6 The Finite-Volume Method 326 8.7 Example: Viscous Flow Over a Cylinder 328 8.8 Potential-Flow Solvers: Panel Methods 331 8.9 Summary 335 References 337 Problems 337 9 Viscous Incompressible Flow: “Exact Solutions” 339 9.1 Introduction 339 9.2 The Viscous Incompressible Flow Equations (Steady State) 340 9.3 Laminar Flow between Two Infinite Parallel Plates: The Couette Flow 340 9.3.1 Flow with a Moving Upper Surface 342 9.3.2 Flow between Two Infinite Parallel Plates: The Results 343 9.3.3 Flow between Two Infinite Parallel Plates – The Poiseuille Flow 347 9.3.4 The Hydrodynamic Bearing (Reynolds Lubrication Theory) 351 9.4 Flow in Circular Pipes (The Hagen-Poiseuille Flow) 359 9.5 Fully Developed Laminar Flow between Two Concentric Circular Pipes 364 9.6 Laminar Flow between Two Concentric, Rotating Circular Cylinders 366 9.7 Flow in Pipes: Darcy’s Formula 370 9.8 The Reynolds Dye Experiment, Laminar/Turbulent Flow in Pipes 371 9.9 Additional Losses in Pipe Flow 374 9.10 Summary of 1D Pipe Flow 375 9.10.1 Simple Pump Model 378 9.10.2 Flow in Pipes with Noncircular Cross Sections 379 9.10.3 Examples for One-Dimensional Pipe Flow 381 9.10.4 Network of Pipes 391 9.11 Free Vortex in a Pool 394 9.12 Summary and Concluding Remarks 397 Reference 397 Problems 397 10 Fluid Machinery 411 10.1 Introduction 411 10.2 Work of a Continuous-Flow Machine 415 10.3 The Axial Compressor (The Mean Radius Model) 417 10.3.1 Velocity Triangles 421 10.3.2 Power and Compression Ratio Calculations 424 10.3.3 Radial Variations 429 10.3.4 Pressure Rise Limitations 431 10.3.5 Performance Envelope of Compressors and Pumps 434 10.3.6 Degree of Reaction 441 10.4 The Centrifugal Compressor (or Pump) 446 10.4.1 Torque, Power, and Pressure Rise 447 10.4.2 Impeller Geometry 450 10.4.3 The Diffuser 454 10.4.4 Concluding Remarks: Axial versus Centrifugal Design 457 10.5 Axial Turbines 458 10.5.1 Torque, Power, and Pressure Drop 459 10.5.2 Axial Turbine Geometry and Velocity Triangles 461 10.5.3 Turbine Degree of Reaction 464 10.5.4 Turbochargers (for Internal Combustion Engines) 473 10.5.5 Remarks on Exposed Tip Rotors (Wind Turbines and Propellers) 474 10.6 Concluding Remarks 478 Reference 478 Problems 478 11 Elements of Heat Transfer 485 11.1 Introduction 485 11.2 Elementary Mechanisms of Heat Transfer 486 11.2.1 Conductive Heat Transfer 486 11.2.2 Convective Heat Transfer 489 11.2.3 Radiation Heat Transfer 491 11.3 Heat Conduction 495 11.3.1 Steady One-Dimensional Heat Conduction 497 11.3.2 Combined Heat Transfer 499 11.3.3 Heat Conduction in Cylinders 502 11.3.4 Cooling Fins 506 11.4 Heat Transfer by Convection 515 11.4.1 The Flat Plate Model 516 11.4.2 Formulas for Forced External Heat Convection 520 11.4.3 Formulas for Forced Internal Heat Convection 526 11.4.4 Formulas for Free (Natural) Heat Convection 529 11.5 Heat Exchangers 534 11.6 Concluding Remarks 536 References 539 Problems 539 12 Automobile Aero-Acoustics 544 12.1 Introduction 544 12.2 Sound as a Pressure Wave 546 12.3 Sound Loudness Scale 549 12.4 The Human Ear Perception 552 12.5 The One-Dimensional Linear Wave Equation 553 12.6 Sound Radiation, Transmission, Reflection, Absorption 556 12.6.1 Sound Wave Expansion (Radiation) 556 12.6.2 Reflections, Transmission, Absorption 559 12.6.3 Standing Wave (Resonance), Interference, and Noise Cancellations 560 12.7 Vortex Sound 561 12.8 Example: Sound from a Shear Layer 564 12.9 Buffeting 568 12.10 Experimental Examples for Sound Generation on a Typical Automobile 574 12.11 Sound and Flow Control 576 12.12 Concluding Remarks 577 References 578 Problems 578 Appendix A 581 Appendix B 583 Index 589

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Book SynopsisHowever, the very rst useful results of this research became ava- able a considerable length of time after the aviation pioneers had made their rst ights. Only after the rst motorized ights had been successfully made did researchers become more interested in the science of aviation, which from then on began to take shape.Trade ReviewFrom the reviews: “This book was translated from the Dutch textbook Aeronautiek (2002) and then edited by the translators, one of whom is the senior author of the current work. It is an expansion of lecture material used by both Torenbeek and Wittenberg to instruct freshmen aerospace engineers at the Technical University of Delft from 1970 to 2000. … The work is useful to aeronautical engineering students as a good reference and as an adjunct to their course textbooks. Summing Up: Recommended. Upper-division undergraduates and graduate students.” (A. M. Strauss, Choice, Vol. 47 (5), January, 2010)Table of ContentsPreface; 1 History of Aviation; 1.1 Introduction; 1.2 Early history and the invention of ballooning; 1.3 The period between 1799 and 1870; 1.4 The decades between 1870 and 1890; 1.5 From 1890 until the Wright Flyer III; 1.6 European aviation between 1906 and 1918; 1.7 Aviation between the world wars; 1.8 Development after 1940; Bibliography; 2 Introduction to Atmospheric Flight; 2.1 Flying – How is that possible?; 2.2 Static and dynamic aviation; 2.3 Forces on the aeroplane; 2.4 Lift, drag and thrust; 2.5 Properties of air; 2.6 The earth’s atmosphere; 2.7 The standard atmosphere; 2.8 Atmospheric flight; Bibliography ; 3 Low-Speed Aerodynamics ; 3.1 Speed domains and compressibility; 3.2 Basic concepts; 3.3 Equations for steady flow; 3.4 Viscous flows; 3.5 The boundary layer; 3.6 Flow separation and drag; 3.7 Shape and scale effects on drag ; Bibliography; 4 Lift and Drag at Low Speeds; 4.1 Function and shape of aeroplane wings; 4.2 Aerofoil sections; 4.3 Circulation and lift; 4.4 Aerofoil section properties; 4.5 Wing geometry; 4.6 High-aspect ratio straight wings; 4.7 Low-aspect ratio wings ; 4.8 The whole aircraft; Bibliography; 5 Aircraft Engines and Propulsion; 5.1 History of engine development; 5.2 Fundamentals of reaction propulsion; 5.3 Engine efficiency and fuel consumption; 5.4 Piston engines in aviation; 5.5 Gas turbine engine components ; 5.6 Non-reheated turbojet and turbofan engines ; 5.7 Turboprop and turboshaft engines; 5.8 Gas turbine engine operation ; 5.9 Propeller performance; Bibliography; 6 Aeroplane Performance; 6.1 Introduction ; 6.2 Airspeed and altitude; 6.3 Equations of motion for symmetric flight; 6.4 Steady straight and level flight; 6.5 Climb and descent ; 6.6 Gliding flight; 6.7 Cruising flight; 6.8 Take-off and landing; 6.9 Horizontal steady turn; 6.10 Manoeuvre and gust loads; Bibliography; 7 Stability and Control; 7.1 Flying qualities; 7.2 Elementary concepts and definitions; 7.3 Tail surfaces and flight control; 7.4 Pitchingmoment of aerofoils; 7.5 Static longitudinal stability; 7.6 Dynamic longitudinal stability; 7.7 Longitudinal control; 7.8 Static lateral stability; 7.9 Dynamic lateral stability; 7.10 Lateral control; 7.11 Stalling and spinning ; Bibliography ; 8 Helicopter Flight Mechanics; 8.1 Helicopter general arrangements; 8.2 Hovering flight ; 8.3 The rotor in level flight; 8.4 Flight performance; 8.5 Stability and control; Bibliography; 9 High-Speed Flight; 9.1 Complications due to the compressibility of air; 9.2 Compressible flow relationships; 9.3 Speed of sound and Mach number; 9.4 Flow in a channel; 9.5 Shock waves and expansion flows; 9.6 High-subsonic speed; 9.7 Transonic speed; 9.8 Supersonic speed; 9.9 Supersonic propulsion; 9.10 Performance and operation; Bibliography; A Units and Dimensions; B Principles of Aerostatics; Index

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Book SynopsisThere are ninety thousand registered dams in the United States, fifty thousand of them classified as “major.” Nearly all of this infrastructure was built during a forty-year period, from 1932 to 1972, in an era of public investment and political consensus that seems inconceivable today. These incredible structures—sometimes called the American Pyramids—helped the country rebound from the Great Depression, brought water and electricity to enormous reaches, helped win World War II for the Allies, and became the basis for decades of prosperous stability.At the Base of the Giant’s Throat dives into the history of dam-building in the United States as natural waterscapes have been replaced with engineered environments and the bone-dry West became America’s produce aisle. From the Folsom Powerhouse cranking sixty-hertz alternating current in the 1890s to the iconic Hoover Dam and the gargantuan Grand Coulee Dam, Anthony R. Palumbi lays out how dams and water projects changed the North American continent forever and laid the groundwork for an age of unprecedented prosperity. He also describes how institutional complacency corrupted the ethos of public power and public works—and how the influence of rich landowners undermined the credibility of that ethos. Palumbi shows how our nation’s ability to cope with natural disasters has been fatally compromised by underinvestment in decaying infrastructure. He argues that a livable future demands investment on a scale few Americans currently grasp. To win that future we must interrogate the history of our most vital public works: the dams, canals, and levees helping to channel life’s most precious molecule.At the Base of the Giant’s Throat tells the story of America through its water, sweeping across five hundred years of history, from the swashbuckling exploits of French colonist Samuel de Champlain to the nightmarish urban flooding of Hurricane Katrina and Hurricane Sandy.Trade Review"Mr. Palumbi's book is a work of great scope."—Wall Street Journal"Anyone who can weave the topics of the Grand Coulee Dam and the music of the band, Nirvana, into the same paragraph is OK with me. The final pages offers solutions and optimism, and, for that alone, At the Base of the Giant's Throat is a solid read worthy of your consideration."—Peter Bruce, Roundup Magazine“In this titillating history of American water infrastructure, Anthony Palumbi adroitly plumbs the personal and political. From Europeans’ first forays upstream into North America through the dam-building boom, Hurricane Katrina, and today’s megadrought, he shows how much water infrastructure was directed not by nature or the common good but to wag the dog for political power and profits. A backlash toward disinvestment, now amplified by climate change, is causing mounting disasters, and Palumbi calls for a new era of public investment to wrest the United States onto a more equitable, sustainable path.”—Erica Gies, author of Water Always Wins: Thriving in an Age of Drought and DelugeTable of ContentsAcknowledgments 1. Rivers Wild 2. Brick by Brick 3. The Drowned Empire 4. A Towering Height 5. Approaching the Spillway 6. Great, Still Mass 7. The Breakdown 8. The War Economy 9. Inundation 10. Desiccation 11. No Promises Notes Bibliography Index

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Book SynopsisInterfaces are present in most fluid mechanics problems. They not only denote phase separations and boundary conditions, but also thin flames and discontinuity waves. Fluid Mechanics at Interfaces 2 examines cases that involve one-dimensional or bi-dimensional manifolds, not only in gaseous and liquid physical states but also in subcritical fluids and in single- and multi-phase systems that may be pure or mixed.Chapter 1 addresses certain aspects of turbulence in discrete mechanics, briefly describing the physical model associated with discrete primal and dual geometric topologies before focusing on channel flow simulations at turbulence-inducing Reynolds numbers. Chapter 2 centers on atomization in an accelerating domain. In one case, an initial Kelvin–Helmholtz instability generates an acceleration field, in turn creating a Rayleigh–Taylor instability which ultimately determines the size of the droplets formed. Chapter 3 explores numerical studies of pipes with sudden contraction using OpenFOAM, and focuses on modeling that will be useful for engines and automobiles.Chapters 4 and 5 study the evaporation of droplets that are subject to high-frequency perturbations, a possible cause of instabilities in injection engines. The Heidmann model, which replaces the droplets in motion in a combustion chamber with a single continuously-fed droplet, is made more complex by considering the finite conduction heat transfer phenomenon. Finally, Chapter 6 is devoted to a study of the rotor blade surface of a Savonius wind turbine, considering both a non-stationary and a three-dimensional flow.Table of ContentsPreface ixRoger PRUD’HOMME, Stéphane VINCENT, Christian CHAUVEAU and Mahouton Norbert HOUNKONNOU Chapter 1. Turbulent Channel Flow to Reτ = 590 in Discrete Mechanics 1Jean-Paul CALTAGIRONE and Stéphane VINCENT 1.1. Introduction 1 1.2. Discrete mechanics formulation 4 1.3. Turbulent flow in channel 6 1.3.1. Analysis of a turbulent flow in a planar channel 6 1.3.2. Model of the turbulence in discrete mechanics 12 1.3.3. Application to a turbulent flow in a channel with Reτ =_590 13 1.4. Conclusion 24 1.5. References 24 Chapter 2. Atomization in an Acceleration Field 27Roger PRUD’HOMME 2.1. Introduction 29 2.1.1. Two classic instabilities 29 2.1.2. Atomization 31 2.2. Generation of droplets through vibrations normal to the liquid layer 32 2.3. Rayleigh–Taylor instability at the crest of an axial wave 36 2.3.1. Size distribution of the drops 39 2.4. Recent work 40 2.5. Conclusion 40 2.6. References 41 Chapter 3. Numerical Simulation of Pipes with an Abrupt Contraction Using OpenFOAM 45Tarik CHAKKOUR 3.1. Introduction 45 3.2. Modeling an abrupt contraction in a pipe 46 3.2.1. Euler equations 46 3.2.2. Stability of the solver 48 3.2.3. Introducing the model 49 3.2.4. Boundary and initial conditions 51 3.3. Numerical results 54 3.3.1. Results with the boundary and initial conditions I 55 3.3.2. Results with the boundary and initial conditions II 67 3.4. Conclusion and future prospects 73 3.5. References 74 Chapter 4. Vaporization of an Equivalent Pastille 77Roger PRUD’HOMME and Kwassi ANANI 4.1. Introduction 78 4.2. Equations for the problem 81 4.3. Linear analysis of the liquid phase 82 4.3.1. The function G(u, PeL) 82 4.3.2. Solution 83 4.3.3. The depth to which heat penetrates 84 4.4. Some results 85 4.4.1. Thermal perturbations 85 4.4.2. Response factor 87 4.5. Conclusion 91 4.6. References 92 Chapter 5. Thermal Field of a Continuously-Fed Drop Subjected to HF Perturbations 95Roger PRUD’HOMME, Kwassi ANANI and Mahouton Norbert HOUNKONNOU 5.1. Drops in a liquid-propellant rocket engine 96 5.2. A continuously fed droplet 98 5.3. Equations of the problem 99 5.3.1. Equations for the gaseous phase 99 5.3.2. Equations for the liquid phase 101 5.4. Linearized equations 102 5.5. Linearized equations for small harmonic perturbations 103 5.6. Thermal field in the drop when neglecting internal convection 103 5.7. Conclusion 107 5.8. Appendix 1: Coefficients that come into play in linearized equations 107 5.9. Appendix 2: Solving the thermal equation 108 5.10. Appendix 3: The case of the equivalent pastille 109 5.11. Appendix 4: 2D representation for the spherical drop 111 5.12. References 113 Chapter 6. Study of the Three-Dimensional and Non-Stationary Flow in a Rotor of the Savonius Wind Turbine 115Francis RAVELOSON, Delphin TOMBORAVO and Roger VONY 6.1. Introduction 115 6.2. Mathematical modeling of the problem 116 6.2.1. Presentation of a physical model 116 6.2.2. Simplifying hypotheses 119 6.3. Numerical resolution 120 6.3.1. Presentation of meshes 120 6.3.2. Spatial discretization 123 6.3.3. Temporal discretization 123 6.3.4. Stability condition for the scheme 124 6.3.5. Initial conditions 125 6.3.6. Boundary conditions 125 6.4. Validation of the results 126 6.5. Results and discussion 127 6.5.1. Influence of the advance parameter 127 6.5.2. Influence of the angular position of the blades 134 6.6. Conclusion 144 6.7. Acknowledgments 144 6.8. References 144 List of Authors 147 Index 149 Summary of Volume 1 151

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Book SynopsisSimulation technology, and computational fluid dynamics (CFD) in particular, is essential in the search for solutions to the modern challenges faced by humanity. Revolutions in CFD over the last decade include the use of unstructured meshes, permitting the modeling of any 3D geometry. New frontiers point to mesh adaptation, allowing not only seamless meshing (for the engineer) but also simulation certification for safer products and risk prediction.Mesh Adaptation for Computational Dynamics 1 is the first of two volumes and introduces basic methods such as feature-based and multiscale adaptation for steady models. Also covered is the continuous Riemannian metrics formulation which models the optimally adapted mesh problem into a pure partial differential statement. A number of mesh adaptative methods are defined based on a particular feature of the simulation solution.This book will be useful to anybody interested in mesh adaptation pertaining to CFD, especially researchers, teachers and students.Table of ContentsAcknowledgments ix Introduction xi Chapter 1 CFD Numerical Models 1 1.1. Compressible flow 1 1.1.1. Introduction 1 1.1.2. Spatial representation 4 1.1.3. Spatial second-order accuracy: MUSCL 13 1.1.4. Low dissipation advection schemes 16 1.1.5. Time advancing 17 1.1.6. Positivity of mixed element-volume formulations 20 1.2. Viscous compressible flows 27 1.2.1. Model for laminar flows 27 1.2.2. Boundary conditions spatial discretization 31 1.2.3. No-slip boundary condition 31 1.2.4. Slip boundary condition 31 1.2.5. Influence stencil 32 1.2.6. Spalart–Allmaras one equation turbulence model 33 1.2.7. SA one-equation model without trip and without ft2 term 33 1.2.8. “Standard” SA one-equation model (without trip) 35 1.2.9. “Full” SA one-equation model (with trip) 35 1.2.10. Mixed element-volume discretization of SA 35 1.2.11. Implicit time integration 39 1.3. A multi-fluid incompressible model 40 1.3.1. Introduction 40 1.3.2. Bi-fluid incompressible Navier–Stokes equations 40 1.3.3. Finite element approximation 42 1.3.4. Error estimate for the level set advection 44 1.3.5. Provisional conclusion on scheme accuracy 46 1.4. Appendix: circumcenter cells 47 1.4.1. Two-dimensional circumcenter cells 47 1.4.2. Three-dimensional circumcenter cells 48 1.5. Notes 49 Chapter 2 Mesh Convergence and Barriers 51 2.1. Introduction 51 2.2. The early capturing property 53 2.2.1. Smoothness, non-smoothness, heterogeneity 53 2.2.2. Behavior of the uniform-mesh strategy 54 2.2.3. An example of 1D adaptation 56 2.3. Unstructured meshes in finite element method 58 2.3.1. Basics of finite element meshes 58 2.3.2. Anisotropy 59 2.4. Accuracy of an interpolation 60 2.5. Isotropic adaptative interpolation 61 2.5.1. The 2D case 61 2.5.2. A first 3D case 62 2.5.3. A limiting barrier for the isotropic 3D case 64 2.6. Anisotropic adaptative interpolation 64 2.6.1. Anisotropic adaptation of a Heaviside function 64 2.6.2. Heaviside function with curved discontinuity 66 2.7. Numerical illustration: anisotropic versus isotropic interpolation 67 2.8. CFD applications of anisotropic capture 68 2.8.1. Pressure with discontinuous gradient 68 2.8.2. Scramjet flow 68 2.9. Unsteady case 71 2.9.1. Barriers for second-order time-leveled case 72 2.9.2. Barriers for third-order time-leveled case 74 2.10. Conclusion 75 2.11. Notes 76 Chapter 3 Mesh Representation 77 3.1. Introduction 77 3.2. An introductory example 78 3.3. Euclidean metric space 81 3.3.1. Geometric interpretation 84 3.3.2. Natural metric mapping 85 3.4. Riemannian metric space 85 3.5. Generation of adapted anisotropic meshes 90 3.5.1. Unit element 90 3.5.2. Geometric invariants 92 3.5.3. Global duality 95 3.5.4. Quantifying mesh anisotropy 103 3.6. Operations on metrics 104 3.6.1. Metric intersection 104 3.6.2. Metric interpolation 106 3.7. Computation of geometric quantities 108 3.7.1. Computation of lengths 108 3.7.2. Computation of volumes 110 3.8. Notes 110 3.8.1. A short history 110 Chapter 4 Geometric Error Estimate 113 4.1. The 1D case 114 4.1.1. 1D metric 114 4.1.2. P 1 Interpolation error bound 115 4.1.3. 1D optimal metric 116 4.1.4. Convergence order of the continuous metric model 118 4.2. Discrete-continuous duality for linear interpolation error 120 4.2.1. Interpolation error in L 1 norm for quadratic functions 121 4.2.2. Linear interpolation on a continuous element 124 4.2.3. Continuous linear interpolate 126 4.3. Numerical validation of the continuous interpolation error 133 4.3.1. Continuous interpolation error calculation 134 4.3.2. Comparison with discrete interpolation error computation 138 4.3.3. Three-dimensional validation 142 4.3.4. Some conclusions 146 4.4. Optimal control of the interpolation error in L p norm 147 4.4.1. Formal resolution 147 4.4.2. Uniqueness 150 4.4.3. Optimal orientations and main result 151 4.5. Multidimensional discontinuity capturing 154 4.6. Linear interpolate operator 155 4.7. A local L ∞ upper bound of the interpolation error 156 4.8. Metric construction for mesh adaptation 159 4.8.1. Handling degenerated cases 161 4.8.2. Isotropic mesh adaptation 162 4.9. Mesh adaptation for analytical functions 162 4.9.1. Algorithms 162 4.9.2. Examples of L ∞ adaptation 163 4.10. Conclusion 170 4.11. Notes 171 Chapter 5 Multiscale Adaptation for Steady Simulations 173 5.1. Introduction 173 5.2. Definitions and notations (2D) 174 5.3. Solving the problematic of the unknown solution (2D/3D) 176 5.4. Numerical computation/recovery of the Hessian matrix 179 5.4.1. Numerical computation of nodal gradients (2D) 179 5.4.2. A double L 2 -projection method 180 5.4.3. A method based on the Green formula 181 5.4.4. A least-square approach 181 5.4.5. From our experience 183 5.4.6. Discrete-continuous interpolation 183 5.5. Solution interpolation 183 5.5.1. Localization algorithm 183 5.5.2. Classical polynomial interpolation 187 5.6. Mesh adaptation algorithm 189 5.7. Example of a CFD numerical simulation 190 5.8. Conclusion 191 5.9. Notes 191 5.9.1. A short review of mesh/PDE coupling 191 Chapter 6 Multiscale Convergence and Certification in CFD 195 6.1. Introduction 195 6.2. A mesh convergence algorithm 197 6.2.1. Mesh adaptation with a fixed complexity 198 6.2.2. Transfers and numerical convergence 199 6.3. An academic test case 201 6.3.1. Uniform refinement study 201 6.3.2. Isotropic adaptation study 203 6.3.3. Anisotropic adaptation study 203 6.3.4. Error level 204 6.4. 3D multiscale anisotropic mesh adaptation 205 6.5. Conclusion 206 6.6. Notes 208 References 211 Index 225 Summary of Volume 2 227

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Book SynopsisSimulation technology, and computational fluid dynamics (CFD) in particular, is essential in the search for solutions to the modern challenges faced by humanity. Revolutions in CFD over the last decade include the use of unstructured meshes, permitting the modeling of any 3D geometry. New frontiers point to mesh adaptation, allowing not only seamless meshing (for the engineer) but also simulation certification for safer products and risk prediction.Mesh Adaptation for Computational Dynamics 2 is the second of two volumes and introduces topics including optimal control formulation, minimizing a goal function, and extending the steady algorithm to unsteady physics. Also covered are multi-rate strategies, steady inviscid flows in aeronautics and an extension to viscous flows.This book will be useful to anybody interested in mesh adaptation pertaining to CFD, especially researchers, teachers and students.Table of ContentsAcknowledgments ix Introduction xi Chapter 1 Nonlinear Corrector for CFD 1 1.1. Introduction 1 1.1.1. Linear correction 3 1.1.2. Nonlinear correction 4 1.2. Two correctors for the Poisson problem 5 1.2.1. Notations 5 1.2.2. A priori corrector for the PDE solution 6 1.2.3. Finer-grid DC corrector for the PDE solution 8 1.3. RANS equations 9 1.3.1. Vector form of the RANS system 9 1.3.2. Formal discretization 10 1.3.3. Notations for discretization 11 1.4. Nonlinear functional correction 13 1.4.1. Finite volume nonlinear corrector 13 1.4.2. Finite element corrector 15 1.5. Example: supersonic flow 17 1.6. Concluding remarks 18 1.7. Notes 20 Chapter 2 Multi-scale Adaptation for Unsteady Flows 21 2.1. Introduction 21 2.2. Mesh adaptation efficiency 23 2.2.1. Regular and singular unsteady model 23 2.2.2. Representativity of the spatial interpolation error 24 2.3. Transient fixed-point mesh adaptation scheme 25 2.3.1. Size of subintervals in a mesh convergence 28 2.3.2. Mesh adaptation for unsteady Euler/Navier–Stokes equations with thickened interface 29 2.3.3. Convergent transient fixed-point 33 2.4. 2D bi-fluid example 33 2.5. Example: impact of a 3D water column on a obstacle 35 2.6. Conclusion 39 2.7. Appendix: remarks about the adaptation of the time step 39 2.8. Notes 41 Chapter 3 Multi-rate Time Advancing 43 3.1. Introduction 43 3.2. Multi-rate time advancing by volume agglomeration 45 3.2.1. Finite volume Navier–Stokes 45 3.2.2. Inner and outer zones 46 3.2.3. MR time advancing 47 3.3. Elements of analysis 49 3.3.1. Stability 49 3.3.2. Accuracy 50 3.3.3. Efficiency 51 3.3.4. Toward many rates 52 3.3.5. Impact of our MR complexity on mesh adaption 52 3.3.6. Parallelism 53 3.4. Applications 55 3.4.1. Circular cylinder at very high Reynolds number 55 3.4.2. Mesh adaption for a contact discontinuity 58 3.5. Conclusion 59 3.6. Notes 60 Chapter 4 Goal-Oriented Adaptation for Inviscid Steady Flows 65 4.1. Introduction 65 4.1.1. What to do with this estimate? 67 4.1.2. Adjoint-L 1 approach 68 4.1.3. Outline 69 4.2. A more accurate nonlinear error analysis 69 4.2.1. Assumptions and definitions 69 4.2.2. A priori estimation 70 4.3. The case of the steady Euler equations 72 4.3.1. Variational analysis 72 4.3.2. Approximation error estimation 73 4.4. Error model minimization 74 4.5. Adaptative strategy 76 4.5.1. Adjoint solver 77 4.5.2. Optimal goal-oriented discrete metric 77 4.5.3. Controlled mesh regeneration 79 4.6. Numerical outputs 79 4.6.1. High-fidelity pressure prediction of an aircraft 79 4.7. Conclusion 82 4.8. Notes 82 Chapter 5. Goal-Oriented Adaptation for Viscous Steady Flows 85 5.1. Introduction 85 5.2. Case of an elliptic problem 86 5.2.1. A priori finite-element analysis (first estimate) 86 5.2.2. Goal-oriented adaptation according to lemma 5.1 89 5.2.3. Goal-oriented adaptation according to a second estimate 91 5.3. Error analysis for Navier–Stokes problem 92 5.3.1. Mesh adaptation problem statement 92 5.3.2. Linearized error system 93 5.3.3. First estimate for Navier–Stokes problem 94 5.3.4. Second estimate for Navier–Stokes problem 98 5.3.5. Optimal goal-oriented continuous mesh 101 5.4. From theory to practice 101 5.4.1. Computation of the optimal continuous mesh 103 5.5. An example of application to a turbulent flow 103 5.6. Conclusion 107 5.7. Notes 109 Chapter 6 Norm-Oriented Formulations 111 6.1. Introduction 111 6.2. A summary of previous analyses 114 6.2.1. Feature-based adaptation by interpolation error optimization 114 6.2.2. Implicit a priori error estimate and corrector 115 6.2.3. Goal-oriented analysis 116 6.3. Norm-oriented approach 118 6.4. Numerical elliptic examples 119 6.4.1. Numerical features 119 6.4.2. 2D boundary layer 122 6.4.3. Poisson problem with discontinuous coefficient 123 6.5. Application to flows 126 6.5.1. A comparison feature-oriented/norm 127 6.5.2. Application to a viscous flow 129 6.6. Conclusion 130 6.7. Notes 131 Chapter 7 Goal-Oriented Adaptation for Unsteady Flows 133 7.1. Introduction 133 7.2. Formal error analysis 134 7.3. Unsteady Euler models 135 7.3.1. Continuous state system and finite volume formulation 135 7.3.2. Continuous adjoint system and discretization 137 7.3.3. Impact of the adjoint: numerical example 141 7.4. Optimal unsteady adjoint-based metric 142 7.4.1. Error analysis for the unsteady Euler model 142 7.4.2. Continuous error model 144 7.4.3 Spatial minimization for a fixed t 146 7.4.4. Temporal minimization 146 7.4.5. Temporal minimization for time sub-intervals 150 7.5. Theoretical mesh convergence analysis 155 7.5.1. Smooth flow fields 155 7.6. From theory to practice 157 7.6.1. Choice of the GO metric 158 7.6.2. Global fixed-point mesh adaptation algorithm 158 7.6.3. Computing the GO metric 161 7.7. Numerical experiments 161 7.7.1. 2D Acoustic wave propagation 161 7.7.2. 3D blast wave propagation 163 7.8. Conclusion 165 7.9. Notes 166 Chapter 8 Third-Order Unsteady Adaptation 167 8.1. Introduction 167 8.2. Higher order interpolation and reconstruction 168 8.3. CENO approximation for the 2D Euler equations 170 8.3.1. Model 170 8.3.2. CENO formulation 171 8.3.3. Vertex-centered low dissipation CENO 2 174 8.4. Error analysis 175 8.5. Metric-based error estimate 178 8.6. Optimal metric 179 8.7. From theory to practical application 182 8.8. A numerical example: acoustic wave 183 8.9. Conclusion 186 8.10. Notes 186 References 189 Index 199 Summary of Volume 1 201

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Book SynopsisThis book develops concepts and a methodology for a rational description of the organization of three-dimensional flows considering, in particular, the case where the flow is the place of separations. The descriptive analysis based on the critical point theory of Poincaré develops conventional but rather unfamiliar considerations from aerodynamicists, who face the understanding of complex flows including multiple separation lines and vortices. These problems concern industrial sectors where aerodynamics plays a key role, such as aerospace, ground vehicles, buildings, etc. Contents 1. Skin Friction Lines Pattern and Critical Points. 2. Separation Streamsurfaces and Vortex Structures. 3. Separated Flow on a Body. 4. Vortex Wake of Wings and Slender Bodies. 5. Separation Induced by an Obstacle or a Blunt Body. 6. Reconsideration of the Two-Dimensional Separation. 7. Concluding Remarks. About the Authors Jean Délery is a Supaero (French National Higher School of Aeronautics and Space) engineer who has worked at Onera (French national aerospace research center) since 1964. He has participated in several major French and European aerospace programs, is the author of many scientific publications, and has occupied various teaching positions particularly at Supaero, the University of Versailles-Saint-Quentin, Ecole polytechnique in France and “La Sapienza” University in Rome, Italy. He is currently emeritus adviser at Onera.Table of ContentsINTRODUCTION ix CHAPTER 1. SKIN FRICTION LINES PATTERN AND CRITICAL POINTS 1 1.1. Basic properties of the three-dimensional boundary layer 1 1.2. Skin friction lines and surface flow pattern 5 1.3. Critical points of the skin friction line pattern 8 1.3.1. General solution and the eigenvalue problem 8 1.3.2. The different critical points 14 1.4. Critical points of the wall vorticity lines 24 CHAPTER 2. SEPARATION STREAMSURFACES AND VORTEX STRUCTURES 27 2.1. Generalization to the flow field and three-dimensional critical points 27 2.2. Separation and attachment lines 32 2.3. Streamsurfaces of separation and attachment 36 2.4. Vortical structures 40 2.5. Some properties of a vortical structure 42 CHAPTER 3. SEPARATED FLOW ON A BODY 47 3.1. Basic rules and definitions 47 3.2. General definition: the basic separated structures 49 3.3. Field associated with a separation with one saddle point and three nodes: the horseshoe vortex 56 3.4. Field associated with a separation with one point and two foci: the tornado-like vortex 62 CHAPTER 4. VORTEX WAKE OF WINGS AND SLENDER BODIES 69 4.1. Vortical structures over a delta wing 69 4.2. Vortical flow over a slender body 77 4.3. Vortex wake of a classical wing 82 4.3.1. Topological description 82 4.3.2. A scenario for the origin of vortices on a wing 88 CHAPTER 5. SEPARATION INDUCED BY AN OBSTACLE OR A BLUNT BODY 91 5.1. Separation in front of an obstacle 91 5.2. Flow induced by an obstacle of finite height or protuberance 97 5.4. The flow past an automobile 110 5.4.1. The surface flow pattern 110 5.4.2. Separation surfaces 116 CHAPTER 6. RECONSIDERATION OF THE TWO-DIMENSIONAL SEPARATION 121 6.1. Some definitions: a reminder 121 6.2. Two-dimensional separation 123 6.3. Special critical points 123 6.4. Three-dimensional structure of a two-dimensional separated flow 131 6.5. Axisymmetric afterbody 136 CHAPTER 7. CONCLUDING REMARKS 143 BIBLIOGRAPHY 147 LIST OF SYMBOLS 151 INDEX 153

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Book SynopsisThis book is dedicated to the general study of fluid structure interaction with consideration of uncertainties. The fluid-structure interaction is the study of the behavior of a solid in contact with a fluid, the response can be strongly affected by the action of the fluid. These phenomena are common and are sometimes the cause of the operation of certain systems, or otherwise manifest malfunction. The vibrations affect the integrity of structures and must be predicted to prevent accelerated wear of the system by material fatigue or even its destruction when the vibrations exceed a certain threshold.Table of ContentsPreface ix Chapter 1. Fluid–Structure Interaction 1 1.1. Introduction 1 1.2. Fluid–structure interaction problem 2 1.2.1. Fluid–structure coupling methods 5 1.2.2. Temporal coupling 8 1.2.3. Spatial coupling 11 1.3. Vibroacoustics 14 1.3.1. Vibrations of three-dimensional solids 15 1.3.2. Acoustics of fluids 17 1.3.3. Numerical methods for calculating a structure coupled with a stagnant fluid 18 1.4. Aerodynamics 21 1.4.1. Aeroelastic problems 23 1.4.2. Aerodynamic loads 26 1.4.3. Problem equations 29 Chapter 2. Fluid–Structure Interaction with Ansys/Fluent 35 2.1. Presentation of Ansys 35 2.2. Coupling with Ansys 37 2.2.1. Types of coupling analysis 38 2.3. Example of fluid–structure interaction using the “physics” environment 40 2.3.1. Fluid in motion 40 2.3.2. Stagnant fluid 48 2.4. Example of interaction using Fluent 54 Chapter 3. Vibroacoustics 59 3.1. Introduction 59 3.2. Equations of the acoustic and structure problems 60 3.2.1. Equation of the acoustic problem 60 3.2.2. Boundary conditions of the acoustic problem 61 3.2.3. Equation of the structure problem 62 3.2.4. Boundary conditions of the structure problem 62 3.3. Vibroacoustic problem 63 3.3.1. Problem statement 64 3.3.2. Boundary conditions at the interface 65 3.3.3. Finite element approximation 66 3.4. Study of an elastic plate coupled with a fluid cavity 86 3.4.1. Equations of the coupled fluid–structure problem 87 3.4.2. Variational formulation of the fluid 88 3.4.3. Variational formulation of the plate 92 3.4.4. Numerical results 94 3.5. Study of the propeller of a boat 97 3.5.1. Numerical results 99 Chapter 4. Aerodynamics 103 4.1. Introduction 103 4.2. Computational method 104 4.2.1. Conformal mesh 104 4.2.2. Immersed boundary methods 105 4.2.3. Volume-based fictitious domain methods 106 4.3. Aerodynamic problem’s resolution 107 4.3.1. Mobile domain 107 4.3.2. Weak formulation 108 4.3.3. Evaluating the energy of the system 111 4.3.4. Numerically solving the system 116 4.3.5. Discretization by finite elements 120 4.4. Finite element method for the solid 123 4.4.1. Discretization 124 4.4.2. Assembling the system 126 4.4.3. Solving the system of algebraic equations 126 4.4.4. Integration by Gaussian quadrature 126 4.4.5. Advancing the time step using the Hilbert–Hugues–Taylor algorithm 127 4.4.6. Linearization using the Newton–Raphson algorithm 129 4.5. Finite volumes for the fluid 130 4.5.1. Generic transport equation 130 4.5.2. Conservation property of the method 131 4.5.3. The different steps in the method 131 4.5.4. Integrating the model equation 132 4.5.5. Control volumes 133 4.5.6. Physical interpolation 135 4.5.7. Evaluating the flux through the faces 135 4.5.8. Centered scheme 136 4.5.9. Upwind scheme 138 4.5.10. Hybrid scheme 139 4.5.11. Discretization 139 4.6. Coupling procedures 141 4.6.1. Coupling strategies 141 4.6.2. Implicit partitioned coupling 142 4.7. Numerical results 145 4.7.1. Static analysis 145 4.8. Study of a 3D airplane wing 150 4.8.1. Modal analysis 153 4.9. Transient analysis 154 Chapter 5. Modal Reduction for FSI 163 5.1. Introduction 163 5.2. Dynamic substructuring methods 164 5.2.1. Linear problems 165 5.2.2. Nonlinear problems 167 5.3. Nonlinear substructuring method 169 5.3.1. Vibrational equations of a substructure 170 5.3.2. Fixed-interface problem 171 5.3.3. Static bearing problem 172 5.3.4. Representing the system with the linear Craig–Bampton basis 173 5.3.5. Model reduction using the approach of Shaw and Pierre 174 5.3.6. Assembling the substructures 176 5.4. Proper orthogonal decomposition for flows 178 5.4.1. Properties of POD modes 179 5.4.2. Snapshot POD 179 5.4.3. Finding low-order expressions for dynamic systems 180 5.5. Dynamic substructure/acoustic subdomain coupling 185 5.5.1. Basic equations 187 5.5.2. Variational formulations 190 5.5.3. Discretization by finite elements 191 5.5.4. Calculating the local modes 194 5.5.5. Modal synthesis 196 5.6. Numerical simulation 199 5.6.1. Elastic ring 199 5.6.2. Boat propeller 206 Chapter 6. Reliability-based Optimization for FSI 211 6.1. Introduction 211 6.2. Reliability in mechanics 212 6.2.1. Random variables 212 6.2.2. Reliability function 214 6.3. Failure in mechanics 215 6.3.1. Failure scenarios 216 6.3.2. Expression of the failure probability 217 6.4. Reliability index 217 6.4.1. Rjanitzyne–Cornell index 217 6.4.2. Hasofer–Lind index 218 6.5. Mechanoreliability coupling 218 6.5.1. Reliability-based calculation methods 219 6.5.2. Monte Carlo method 220 6.5.3. FORM/SORM approximation methods 221 6.6. Reliability-based optimization in mechanics 224 6.6.1. Deterministic optimization 225 6.6.2. Different approaches to RBDO 226 6.6.3. Classical approach 228 6.6.4. Hybrid approach 229 6.6.5. Frequency-based hybrid approach 231 6.7. SP method 234 6.7.1. Formulation of the problem 234 6.8. Numerical results 237 6.8.1. Reliability calculation for an airplane wing 237 6.8.2. Application of RBDO to the airplane wing 239 Bibliography 253 Index 263

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Book SynopsisAn important volume in the Tribology in Practice Series (TIPS). Rolling Contacts presents a general introduction to the fundamentals of rolling friction with the emphasis on important engineering applications of rolling contacts. Rolling Friction is an age-old engineering problem – with friction and wear related problems resulting in enormous costs to industry world-wide. Rolling Contacts presents the fundamentals of rolling contacts of all types, emphasizing important engineering applications – including rolling bearings, gears, road-tyre and rail-wheel interactions, cam-tappet systems, and roll-forming of materials. Procedures and techniques of analysis developed throughout the book enhance understanding of this complex subject and help to improve the engineer’s ability to design and select rolling contacts for mechanical devices and systems. CONTENTS INCLUDE: Elements of surface contact of solids Fundamentals of rolling motion Dynamic characteristics of rolling motion Rolling contact bearing Rolling contacts in land locomotion Machine elements in rolling contact Non-metallic rolling contacts. Rolling Contacts will be invaluable to practising designers, researchers, and postgraduate students. Engineering degree course students will also benefit from this book’s thorough introduction to rolling contacts commonly used in practice.Table of ContentsIntroduction rolling contacts; elements of surface contact solids; fundamentals of rolling motion; dynamic characteristics of rolling motion; rolling contact bearings; rolling contacts in land locomotion; machine elements in rolling contact; non-metallic rolling contacts; coated surfaces in rolling contact; rolling in metal forming;

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Book SynopsisIn the past Computational Fluid Dynamics (CFD) was confined to large organisations capable of developing and supporting their own codes. But recently there has been a rapid increase in the availability of reasonably priced commercial codes, and many more industrial organisations are now able to routinely use CFD. Advances of CFD in Fluid Machinery Design provide the perfect opportunity to find out what industry is doing and this book addresses how CFD is now being increasingly used in the design process, rather than as a post-design analysis tool. COMPLETE CONTENTS Trends in industrial use of CFD Challenges and methodologies in the design of axial flow fans for high-bypass-ratio, gas turbine engines using steady and unsteady CFD A three-dimensional inverse method based on pressure loading for the design of turbomachinery blades Application of CFD to the design and analysis of axial and centrifugal fans and compressors The design and performance of a transonic flow deswirling system – an application of current CFD design techniques tested against model and full-scale experiments Recent developments in unsteady flow modelling for turbomachinery aeroelasticity Computational investigation of flow in casing treatments for stall delay in axial flow fans Use of CFD for the three-dimensional hydrodynamic design of vertical diffuser pumps Recommendations to designers for CFD pump impeller and diffuser simulations Three dimensional CFD – a possibility to analyse piston pump flow dynamics CFD analysis of screw compressor performance Prediction of aerothermal phenomena in high-speed discstator systems Use of CFD in the design of a shaft seal for high-performance turbomachinery Users and potential users, of CFD for the design of fluid machinery, managers, designers, and researchers working in the field of ‘industrial flows’, will all find Advances of CFD in Fluid Machinery Design a valuable volume discussing state-of-the-art developments in CFD.Table of ContentsAbout the Editors ix Foreword xi Introduction Trends in Industrial Use of CFD xiii C Carey Chapter 1 Challenges and Methodologies in the Design of Axial Flow Fans for High-bypass-ratio, Gas Turbine Engines Using Steady and Unsteady CFD 1 L Lapworth Chapter 2 A Three-dimensional Inverse Method Based on Pressure Loading for the Design of Turbomachinery Blades 31 W T Tiow and M Zangeneh Chapter 3 Application of CFD to the Design and Analysis of Axial and Centrifugal Fans and Compressors 53 C J Robinson Chapter 4 The Design and Performance of a Transonic Flow Deswirling System - an Application of Current CFD Design Techniques Tested Against Model and Full-scale Experiments 65 T Povey, K S Chana, T V Jones, and M L G Oldfield Chapter 5 Recent Developments in Unsteady Flow Modelling for Turbomachinery Aero-elasticity 95 A I Sayma, M Vahdati, X Wu, and M Imregun Chapter 6 Computational Investigation of Flow in Casing Treatments for Stall Delay in Axial Flow Fans 113 A Ghila, A Tourlidakis, and R L Elder Chapter 7 Use of CFD for the Three-dimensional Hydrodynamic Design of Vertical Diffuser Pumps 129 K V Michaelides, A Tourlidakis, and R L Elder Chapter 8 Recommendations to Designers for CFD Pump Impeller and Diffuser Simulations 149 G Dyson Chapter 9 Three-dimensional CFD - a Possibility to Analyse Piston Pump Flow Dynamics 159 P-E Wiklund and G C Svedberg Chapter 10 CFD Analysis of Screw Compressor Performance 171 A Kovacevic, N Stosic, and I K Smith Chapter 11 Prediction of Aerothermal Phenomena in High-speed Disc-stator Systems 199 S Romero-Hernandez, F J Campos-Mejuto, and K R Pullen Chapter 12 Use of CFD in the Design of a Shaft Seal for High-performance Turbomachinery 211 S E Leefe Index 229

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Book SynopsisThis book covers specific aspects of submarine hydrodynamics in a very practical manner. The author reviews basic concepts of ship hydrodynamics and goes on to show how they are applied to submarines, including a look at the use of physical model experiments. The book is intended for professionals working in submarine hydrodynamics, as well as for advanced students in the field.This revised edition includes updated information on empirical methods for predicting the hydrodynamic manoeuvring coefficients, and for predicting the resistance of a submarine. It also includes new material on how to assess propulsors, and includes measures of wake distortion, which has a detrimental influence on propulsor performance. Additional information on safe manoeuvring envelopes is also provided. The wide range of references has been updated to include the latest material in the field.Table of Contents1 Introduction.- 2 Hydrostatics and Control.- 3 Manoeuvring and Control.- 4 Resistance and Flow.- 5 Propulsion.- 6 Appendage Design.- Hydro-Acoustic Performance.

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Book SynopsisThis volume fills the need for a textbook presenting basic governing and constitutive equations, followed by several engineering problems on multiphase flow and transport that are not provided in current advanced texts, monographs, or handbooks. The unique emphasis of this book is on the sound formulation of the basic equations describing multiphase transport and how they can be used to design processes in selected industrially important fields. The clear underlying mathematical and physical bases of the interdisciplinary description of multiphase flow and transport are the main themes, along with advances in the kinetic theory for particle flow systems. The book may be used as an upper-level undergraduate or graduate textbook, as a reference by professionals in the design of processes that deal with a variety of multiphase systems, and by practitioners and experts in multiphase science in the area of computational fluid dynamics (CFD) at U.S. national laboratories, international universities, research laboratories and institutions, and in the chemical, pharmaceutical, and petroleum industries. Distinct from other books on multiphase flow, this volume shows clearly how the basic multiphase equations can be used in the design and scale-up of multiphase processes. The authors represent a combination of nearly two centuries of experience and innovative application of multiphase transport representing hundreds of publications and several books. This book serves to encapsulate the essence of their wisdom and insight, and:Table of ContentsIntroduction to Multiphase Flow Basic Equations.- Multiphase Flow Constitutive Equations and Boundary Conditions.- Phenomena Associated with Multiphase Flow (Gas-Solids and Gas-Liquid Systems).- CO2 Capture.- Synthetic Gas Conversion to Liquid Fuel Using Slurry Bubble-Column Reactors.- Fluidized-Bed Reactor for Polymerization.- Fluidized-Bed Reactors for Solar-Grade Silicon and Silane Production.- Hemodynamics Simulation (Blood Flow).- Multiphase Flow Modeling of Volcanic Eruptions.- Pharmaceutical Processes.- Multiphase Flow Modeling of Wind Turbines at Rainy Condition.

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Book SynopsisThis book analyses the use of a pulsed gas flow to structure bubbling gas-solid fluidised beds and to induce a special fluidisation state, called "dynamically structured flow", as a promising approach to process intensification. It explores the properties of bubbles rising in staggered periodic arrays without direct interaction, assessing their size, separation, and velocity, and explains how a highly uniform, scalable flow offers tight control over the system hydrodynamics. These features are desirable, as they not only bypass engineering challenges occurring in traditional operations, such as maldistribution and non-uniform contact, but also allow to decouple conflicting design objectives, such as mixing and gas-solid contact. The thesis also presents computational simulations which reveal the periodic transitions of the particulate phase between fluid-like and solid-like behaviour. This book will be of interest to researchers, engineers, and graduate students alike, particularly those working in industrial drying, combustion, and chemical production. Table of ContentsIntroduction.- Bubbling Properties in Pulsed Fluidised Beds.- A Dynamic Structured Fluidisation Regime to Control the Behaviour of Bubbling Beds.- Pattern Formation Applied as a Tool for Multiphase Flow Model Validation.- Modelling of Pattern Formation: A Periodic Transition Between Solid and Fluid.- The Role of Solid Mechanics in Stabilising Pattern Formation.- Conclusions and Future Work.

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Book SynopsisThis book offers timely insights into research on numerical and experimental fluid mechanics and aerodynamics, mainly for (but not limited to) aerospace applications. It reports on findings by members of the STAB (German Aerospace Aerodynamics Association) and DGLR (German Society for Aeronautics and Astronautics) and covers both nationally and EC-funded projects. Continuing on the tradition of the previous volumes, the book highlights innovative solutions, promoting translation from fundamental research to industrial applications. It addresses academics and professionals in the field of aeronautics, astronautics, ground transportation, and energy alike. Table of ContentsInfluence of the Wind Tunnel Model Mounting on the Wake Evolution of the Common Research Model in Post Stall.- Assessment of the Disturbance Velocity Approach to Determine the Gust Impact on Airfoils in Transonic Flow.- Comparison of Different Methods for the Extraction of Airfoil Characteristics of Propeller Blades as Input for Propeller Models in CFD.- Stochastic Modeling of Passive Scalars in Turbulent Channel Flows: Predictive Capabilities of One-Dimensional Turbulence.- Study on Large-Scale Amplitude Modulation of Near-Wall Small-Scale Structures in Turbulent Wall-Bounded Flows.- Investigation of Coherent Motions in a Flat-Plate Turbulent Boundary Layer with Adverse Pressure Gradient.- Experimental Approach on Concentration Measurements of NO in Hydrogen Combustion based on Heterodyne Laser Absorption Spectroscopy using Quantum Cascade Lasers.- Internal Application of Ultra-Fast Temperature Sensitive Paint to Hydrogen Combustion Flow.- Influence of Surface Irregularities on the Expected Boundary-Layer Transition Location on Hybrid Laminar Flow Control Wings.

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Book SynopsisThe book provides design engineers an elemental understanding of the variables that influence pressure drop and heat transfer in plain and micro-fin tubes to thermal systems using liquid single-phase flow in different industrial applications. It also provides design engineers using gas-liquid, two-phase flow in different industrial applications the necessary fundamentals of the two-phase flow variables. The author and his colleagues were the first to determine experimentally the very important relationship between inlet geometry and transition. On the basis of their results, they developed practical and easy to use correlations for the isothermal and non-isothermal friction factor (pressure drop) and heat transfer coefficient (Nusselt number) in the transition region as well as the laminar and turbulent flow regions for different inlet configurations and fin geometry. This work presented herein provides the thermal systems design engineer the necessary design tools. The author further presents a succinct review of the flow patterns, void fraction, pressure drop and non-boiling heat transfer phenomenon and recommends some of the well scrutinized modeling techniques.Table of ContentsIntroduction.- Single-Phase Flow Experimental Setup .- Friction Factor Results in Plain Tube.- Proposed Correlations for Friction Factor in Plain Tube.- Heat Transfer Results in Plain Tube.- Proposed Correlations for Heat Transfer in Plain Tube.- Simultaneous Heat Transfer and Friction Factor Analysis.- Friction Factor Results in Micro-fin Tubes.- Proposed Correlations for Friction Factor in Micro-fin Tubes.- Heat Transfer Results in Micro-fin Tubes.- Proposed Correlations for Heat Transfer in Micro-fin Tubes.

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Book SynopsisThis Festschrift is dedicated to Professor Dr.-Ing. habil. Peter Wriggers on the occasion of his 70th birthday. Thanks to his high dedication to research, over the years Peter Wriggers has built an international network with renowned experts in the field of computational mechanics. This is proven by the large number of contributions from friends and collaborators as well as former PhD students from all over the world. The diversity of Peter Wriggers network is mirrored by the range of topics that are covered by this book. To name only a few, these include contact mechanics, finite & virtual element technologies, micromechanics, multiscale approaches, fracture mechanics, isogeometric analysis, stochastic methods, meshfree and particle methods. Applications of numerical simulation to specific problems, e.g. Biomechanics and Additive Manufacturing is also covered. The volume intends to present an overview of the state of the art and current trends in computational mechanics for academia and industry.Table of ContentsChapter 1: Multiphysics computation of thermomechanical fatigue in electronics under electrical loading.- Chapter 2: Phase-field modeling of fatigue crack propagation in brittle materials.- Chapter 3: A non-intrusive global/local cycle-jumping techniques: application to visco-plastic structures.- Chapter 4: VEM approach for homogenization of fibre-reinforced composites with curvilinear inclusions.- Chapter 5: Free Bloch wave propagation in periodic Cauchy materials: analytical and computational strategies.- Chapter 6: Divergence free VEM for the Stokes problem with no internal degrees of freedom.- Chapter 7: Strategy for Preventing Membrane Locking through Reparametrization.- Chapter 8: Model-free fracture mechanics and fatigue.- Chapter 9: Node based non-invasive form finding revisited - the challenge of remeshing.- Chapter 10: Micropolar modelling of periodic Cauchy materials based on asymptotic homogenization.- Chapter 11: Experimental and numerical investigation of granules as crash-absorber in ship building.- Chapter 12: On Hydraulic Fracturing in Fully and Partially Saturated Brittle Porous Material.- Chapter13: Efficient two-scale modeling of porous media using numerical model reduction with fully computable error bounds.- Chapter 14: Perspectives on the master-master contact formulation.- Chapter 15: Remarks on the History of Glacier Research and the Flow Law of Ice.- Chapter 16: Anisotropic Failure Criteria in Relation to Crack Phase-Field Modeling at Finite Strains.

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Book SynopsisOpen Channel Flow, 2nd edition is written for senior-level undergraduate and graduate courses on steady and unsteady open-channel flow. The book is comprised of two parts: Part I covers steady flow and Part II describes unsteady flow. The second edition features considerable emphasis on the presentation of modern methods for computer analyses; full coverage of unsteady flow; inclusion of typical computer programs; new problem sets and a complete solution manual for instructors.Table of ContentsBasic Concepts.- Conservation Laws.- Critical Flow.- Uniform Flow.- Gradually Varied Flow.- Computation Of Gradually Varied Flow.- Rapidly Varied Flow.- Computation of Rapidly Varied Flow.- Channel Design.- Special Topics.- Unsteady Flow.- Governing Equations For One-Dimensional Flow.- Numerical Methods.- Finite-Difference Methods.- Two-Dimensional Flow.- Sediment Transport.- Special Topics.

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Book SynopsisThis book has been written for the introductory course of fluid mechanics for students at the undergraduate and postgraduate levels. It provides the fundamental knowledge allowing students in engineering and natural sciences to enter fluid mechanics and its applications in various fields where fluid flows need to be dealt with. Volume 2 of this book contains ten chapters to help build the basic understanding of the subject matter. It adequately addresses the more complex and advanced issues on fluid mechanics in simplest of manners. The book covers laminar flow (viscous flow), turbulent flow, boundary layer theory, flow through pipe, pipe flow measurement, orifices and mouthpieces, flow past submerged bodies, flow through open channels, notches and weirs, and compressible flows. The concepts are supported by numerous solved examples and multiple-choice questions to aid self-learning in students. The book also contains illustrated diagrams for better understanding of the concepts. The book is extremely useful for the undergraduate and postgraduate students of engineering and natural sciences.Table of ContentsLaminar Flow.- Turbulent Flow.- Boundary Layer Theory.- Flow Through Pipe.- Pipe Flow Measurement.- Orifices and Mouthpieces.- Flow Past Submerged Bodies.- Flow Through Open Channels.- Notches and Weirs.- Compressible Flow.

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Book SynopsisThis book provides a comprehensive guide to 3D Light-Field camera based imaging, exploring the working principles, developments and its applications in fluid mechanics and aerodynamics measurements. It begins by discussing the fundamentals of Light-Field imaging and theoretical resolution analysis, before touching upon the detailed optics design and micro-lens array assembly. Subsequently, Light-Field calibration methods that compensate for optical distortions and establish the relations between the image and real-word 3D coordinates are covered. This is followed by Light-Field 3D reconstruction algorithms which are elaborated for micrometer-scale particles and centimeter-scale physical models. Last but not least, implementations of the preceding procedures to selected fundamental and applied flow measurement scenarios are provided at the end of the book. Development and Application of Light-Field Cameras in Fluid Measurements gives an in-depth analysis of each topic discussed, making it ideal as both an introductory and reference guide for researchers and postgraduates interested in 3D flow measurements.Table of ContentsIntroduction.- Light-field camera working principles.- Volumetric calibration for light-field camera with regular and scheimpflug lens.- Light-field particle image velocimetry.- Simultaneous 3D surface geometry and pressure distribution measurement.- Light-field PIV implementation and case studies.- Future developments of Light-field based measurements.

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Book SynopsisThis open access book allows the reader to grasp the main bulk of fluid flow problems at a brisk pace. Starting with the basic concepts of conservation laws developed using continuum mechanics, the incompressibility of a fluid is explained and modeled, leading to the famous Navier-Stokes equation that governs the dynamics of fluids. Some exact solutions for transient and steady-state cases in Cartesian and axisymmetric coordinates are proposed. A particular set of examples is associated with creeping or Stokes flows, where viscosity is the dominant physical phenomenon. Irrotational flows are treated by introducing complex variables. The use of the conformal mapping and the Joukowski transformation allows the treatment of the flow around an airfoil. The boundary layer theory corrects the earlier approach with the Prandtl equations, their solution for the case of a flat plate, and the von Karman integral equation. The instability of fluid flows is studied for parallel flows using the Orr-Sommerfeld equation. The stability of a circular Couette flow is also described. The book ends with the modeling of turbulence by the Reynolds-averaged Navier-Stokes equations and large-eddy simulations. Each chapter includes useful practice problems and their solutions. The book is useful for engineers, physicists, and scientists interested in the fascinating field of fluid mechanics.Table of ContentsIncompressible Newtonian Fluid Mechanics.- Dimensional Analysis.- Exact Solutions of the Navier-Stokes Equations.- Vorticity and Vortex Kinematics.- Stokes Flow.- Plane Irrotational Flows of Perfect Fluid.- Boundary Layer.- Instability.- Turbulence.- Solutions of the Exercices.- Index.

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Book SynopsisThis textbook has been primarily written for undergraduate and postgraduate engineering students studying the mechanics of solids and structural systems. The content focuses on matrix, finite elements, structural analysis, and computer implementation in a unified and integrated manner. Using classical methods of structural analysis, it discusses matrix and the finite element methods in an easy-to-understand manner. It consists of a large number of diagrams and illustrations for easy understanding of the concepts. All the computer codes are presented in "FORTRAN" AND "C". This textbook is highly useful for the undergraduate and postgraduate engineering students. It also acquaints the practicing engineers about the computer-based techniques used in structural analysis.Table of ContentsBasic Concepts of Structural Analysis.- Energy Principles.- Introduction To The Flexibility and Stiffness Matrix Methods.- Direct Stiffness Method.- Substructure Technique for the Analysis of Structural Systems.- The Flexibility Matrix Method.- Elements of Elasticity.- Introduction to The Finite Element Method.- Finite Element Analysis of Plane Elasticity Problems.- Isoparametric and Other Element Representations and Numerical Integrations.- Finite Element Analysis of Plate Bending Problems.- Finite Element Analysis of Shells.- Semi-Analytical and Spline Finite Strip Method of Analyses of Plate Bending.- Dynamic and Instability Analyses By The Finite Element Method.- The Finite Difference Method For The Analysis Of Beams And Plates.- Adaptive Finite Element Analysis.- Geometrical Non-Linear Finite Element Analysis.- Finite Element Method Of Analysis Of Stiffened Plates.- Selected Topics.

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Book SynopsisThis textbook has been primarily written for undergraduate and postgraduate engineering students studying the mechanics of solids and structural systems. The content focuses on matrix, finite elements, structural analysis, and computer implementation in a unified and integrated manner. Using classical methods of structural analysis, it discusses matrix and the finite element methods in an easy-to-understand manner. It consists of a large number of diagrams and illustrations for easy understanding of the concepts. All the computer codes are presented in "FORTRAN" AND "C". This textbook is highly useful for the undergraduate and postgraduate engineering students. It also acquaints the practicing engineers about the computer-based techniques used in structural analysis.Table of ContentsBasic Concepts of Structural Analysis.- Energy Principles.- Introduction To The Flexibility and Stiffness Matrix Methods.- Direct Stiffness Method.- Substructure Technique for the Analysis of Structural Systems.- The Flexibility Matrix Method.- Elements of Elasticity.- Introduction to The Finite Element Method.- Finite Element Analysis of Plane Elasticity Problems.- Isoparametric and Other Element Representations and Numerical Integrations.- Finite Element Analysis of Plate Bending Problems.- Finite Element Analysis of Shells.- Semi-Analytical and Spline Finite Strip Method of Analyses of Plate Bending.- Dynamic and Instability Analyses By The Finite Element Method.- The Finite Difference Method For The Analysis Of Beams And Plates.- Adaptive Finite Element Analysis.- Geometrical Non-Linear Finite Element Analysis.- Finite Element Method Of Analysis Of Stiffened Plates.- Selected Topics.

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Book Synopsis This book presents the developments of the finite volume method applied to fluid flows, starting from the foundations of the method and reaching the latest approaches using unstructured grids. It helps students learn progressively, creating a strong background on CFD. The text is divided into two parts. The first one is about the basic concepts of the finite volume method, while the second one presents the formulation of the finite volume method for any kind of domain discretization. In the first part of the text, for the sake of simplicity, the developments are done using the Cartesian coordinate system, without prejudice to the complete understanding. The second part extends this knowledge to curvilinear and unstructured grids. As such, the book contains material for introductory courses on CFD for under and graduate students, as well as for more advanced students and researchers.Table of ContentsChapter 1. Introduction.- Chapter 2. Conservation Equations Physical and Mathematical Aspects.- Chapter 3. The Finite Volume Method.- Chapter 4. Solution of the Linear System.- Chapter 5. Advection and Diffusion Interpolation Functions.- Chapter 6. .- Three-Dimensional Advection/Diffusion of.- Chapter 7. Finding the Velocity Field Pressure-Velocity Couplings.- Chapter 8. All Speed Flows Calculation Coupling.- Chapter 9. Two and Three-Dimensional Parabolic Flows.- Chapter 10. General Recommendations for Conceiving and Testing Your Code.- Chapter 11. Introducing General Grids Discretization.- Chapter 12. Coordinate Transformation General Curvilinear Coordinate Systems.- Chapter 13. Unstructured Grids.- Chapter 14. Pressure Instabilities from Navier-Stokes to Biot’s Consolidation.- Chapter 15. Applications

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Book SynopsisThis book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents. The central motivation is the weak solvability of the unsteady p(.,.)-Navier–Stokes equations describing the motion of an incompressible electro-rheological fluid. Due to the variable dependence of the power-law index p(.,.) in this system, the classical weak existence analysis based on the pseudo-monotone operator theory in the framework of Bochner–Lebesgue spaces is not applicable. As a substitute for Bochner–Lebesgue spaces, variable Bochner–Lebesgue spaces are introduced and analyzed. In the mathematical framework of this substitute, the theory of pseudo-monotone operators is extended to unsteady problems with variable exponents, leading to the weak solvability of the unsteady p(.,.)-Navier–Stokes equations under general assumptions.Aimed primarily at graduate readers, the book develops the material step-by-step, starting with the basics of PDE theory and non-linear functional analysis. The concise introductions at the beginning of each chapter, together with illustrative examples, graphics, detailed derivations of all results and a short summary of the functional analytic prerequisites, will ease newcomers into the subject.Table of Contents- 1. Introduction. - 2. Preliminaries. - Part I Main Part. - 3. Variable Bochner–Lebesgue Spaces. - 4. Solenoidal Variable Bochner–Lebesgue Spaces. - 5. Existence Theory for Lipschitz Domains. - Part II Extensions. - 6. Pressure Reconstruction. - 7. Existence Theory for Irregular Domains. - 8. Existence Theory for p- < 2. - 9. Appendix.

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Book SynopsisThis book provides a state-of-the-art review of recent analytical developments on multi-outlets pipe flow hydraulics and alternative hydraulic design concepts.

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Book SynopsisInducing Intentional Strong Nonlinearity in Acoustics.- Beyond common simplifications: strongly nonlinear transient phenomena.- Tailoring Nonlinear Normal Modes and Managing Bifurcations.- Exploiting the use of strong nonlinearity in dynamics and acoustics: the case of musical wind instruments.- Global Nonlinear Dynamics: Challenges in the Analysis and Safety of Deterministic or Stochastic Systems.- Hysteretic Systems: Resonances, Modal Coupling, Mitigation.- Systems with Contact Nonlinearities.

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Book SynopsisIntroduction Applying Perturbation and Related Methods to Rationally Describe the Teapot Effect Under Capillary and Weak Viscous Action.- Understanding Sloshing as a Complex Asymptotically Reduced Dynamical System.- Thin film Flows Classical Examples, Surfactants, and Viscous Membranes.- Free Surface Singularities From Singular Points to Spatio Temporal Complexity.- Viscoelastic Lubrication Using the Second Order Fluid.- Coating and Rimming Flow,  Rivulet Flow and the Evaporation of a Sessile Droplet.

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Book SynopsisChapter 1. Basic concepts of molecular dynamics .- Chapter 2. Examples of applications .- Chapter 3. Special applications of the discrete random deviation.- Chapter 4. Kaburaki, Nambu and the Japanese school .- Chapter 5. Aerosols and Atmospheric Physics .- Chapter 6. Thermal Confinement.- Chapter 7. Look into the future.

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Book SynopsisTensors.- Description of fluid kinematics.- Nature of turbulent flows.- Random variables and their characterization.- Governing equations of the mean flow field.- Turbulence near a solid wall.- Understanding multiplicity of length scales in turbulent flows.- Turbulence modeling.- Scale resolving simulations of turbulent flows.

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