Classical mechanics Books

Book SynopsisThis textbook – a result of the author’s many years of research and teaching – brings together diverse concepts of the versatile tool of multibody dynamics, combining the efforts of many researchers in the field of mechanics. Trade Review"This textbook offers a comprehensive exposition of contemporary multibody dynamics elaborated by an expert in and an experienced teacher of the field. There are five features that distinguish this publication: comprehensivity, orientation towards computer implementation, utilization of matrix algebra, teaching-by-examples methodology, and embedding in the author's own research accomplishments.... [T]his is an excellent textbook for undergraduate, graduate, and doctoral students of mechanical engineering, industrial physics and robotics; it may also be recommended as a reference text for researchers in these areas." —Mathematical Reviews "This is a textbook intended for advanced undergraduate and beginning graduate students studying dynamics, physics, robotics, control, and biomechanics.... The book is well-written with good organization. It has good quality graphics. It clearly represents a considerable effort by the author to present a state-of-the-art exposition. The book should be of interest and use to practitioners and researches as well as students. It brings together methodologies from various fields into a single volume." —Zentralblatt MATH "Timely and forward looking, Fundamentals of Multibody Dynamics, has immense potential for use as a textbook with a strong computer orientation towards the subject for junior/senior undergraduates and first-year graduate engineering students taking a course in dynamics, physics, control, robotics, or biomechanics. The work may also be used as a self-study resource or research reference for practitioners in the above-mentioned fields; they will find the book a refreshing break from the usual textbook presentation...with the type of printing, layout and illustrations by way of figures, tables and mathematical equations that contribute to a helpful understanding of the material presented and instant location of what is required by the reader. The book is studded with useful and relevant references. Thus, we are stronly led to recommend this impressive volume to students and practicing engineers who are looking for a book that fills the gap between dynamics and engineering applications. We have nothing but admiration for what Farid Amirouche has done." —Current Engineering PracticeTable of ContentsPreface Particle Dynamics: The Principle fo Newton's Second Law Rigid-Body Kinematics Kinematics for General Multibody Systems Modeling of Forces in Multibody Systems Equations of Motion of Multibody Systems Hamilton–Lagrange and Gibbs–Appel Equations Handling of Constraints in Multibody Systems Dynamics Numerical Stability of Constrained Multibody Systems Linearization and Vibration Analysis of Multibody Systems Dynamics of Multibody Systems with Terminal Flexible Links Dynamic Analysis of Multiple Flexible-Body Systems Modeling of Flexibility Effects Using the Boundary-Element Method Appendix A: Multibody Dynamics Flowchart for the Construction of the Equations of Motion with Constraints Appendix B: Centroid Location and Area Moment of Inertia Appendix C: Center of Gravity and Mass Moment of Inertia of Homogeneous Solids Appendix D: Symbols Description Appendix E: Units and Conversion References Index

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Book Synopsisto the Kinematics and Kinetics of the Top.- The kinematics of the top.- to kinetics (statics and impulse theory).- The Euler equations with further development of the kinetics of the top.Trade Review"This book is a translation by Raymond J. Nagem and Guido Sandri of the German original [F. Klein and A. Sommerfeld, Über die Theorie des Kreisels. Heft I, Teubner, Leipzig, 1897; JFM 28.0658.04]. Various editions of this book, which presents fundamental results in the theory of the motion of the top, have appeared in German...This English translation is of great scientific interest and importance. The content and sequence of exposition of this book faithfully follow the original work...The translators' remarks are presented separately and are intended to ensure an accurate account of the historical development of the theory of the top. This translation is of a high scientific caliber and makes one look forward to the translation of the second volume by Nagem and Sandri." —Mathematical Reviews "It is very positive that, by producing the English edition of this book, a large group of contemporary scientists and especially mathematicians can admire and appreciate what a broad understanding mathematicians like Felix Klein, not only of their field but also of physics, had. Very interesting ample notes of the translators (about 50 pages), where also various motions are worked out, physically interpreted and excellently illustrated by numerous figures, and a nice preface by Michael Eckert make this volume even more interesting to read than the German original." —Zentralblatt MATHTable of Contentsto the Kinematics and Kinetics of the Top.- The kinematics of the top.- to kinetics (statics and impulse theory).- The Euler equations with further development of the kinetics of the top.

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Book SynopsisThis hands-on text demystifies numerical modelling for early-stage physics and engineering students, with each chapter focusing on an intriguing physics problem. Developed over many years of teaching a computational modelling course, this stand-alone book gives students an essential numerical modelling toolkit for today's data-driven landscape.Table of ContentsPreface; How to use this book; First steps; 1. Rectangular finite quantum well – Stationary Schrödinger Equation in 1D; 2. Diffraction of light on a slit; 3. Pendulum as a standard unit of time; 4. Planetary system; 5. Gravitation inside a star; 6. Normal modes in a cylindrical waveguide; 7. Thermal insulation properties of a wall; 8. Cylindrical capacitor; 9. Coupled harmonic oscillators; 10. The Fermi-Pasta-Ulam problem; 11. Cold hydrogen star; 12. Rectangular quantum well filled with electrons – The idea of self-consistent calculations; 13. Time dependent Schrödinger Equation Dawid Dworzański; 14. Poisson equation in 2D; Appendices; Further Reading; Index.

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Book SynopsisWhen Galileo designed the tube of his first telescope, optomechanics was born. Concerned with the shape and position of surfaces in an optical system, optomechanics is a subfield of physics that is arguably as old as optics. However, while universities offer courses on the subject, there is a scarcity in textbook selections that skillfully and properly convey optomechanical fundamentals to aspiring engineers. Complemented by tutorial examples and exercises, this textbook rectifies this issue by providing instructors and departments with a better choice for transmitting to students the basic principles of optomechanics and allowing them to comfortably gain familiarity with the fieldâs content. Practicing optical engineers who engage in self-study and wish to enhance the extent of their knowledge will also find benefit from the vast experience of the authors. The book begins with a discussion of materials based on optomechanical figures of merit and features chapters on windows, prismTrade Review"This book addresses a pressing need for tools to teach optomechanical engineering at the University level. It also serves as a valuable reference work for practicing engineers. Organized into chapters on each of the engineer's tasks, from system-level assessments to component mounting, it flows logically through the mechanical design process.… it is a rich introduction to the art of optomechanical design."—Alson E. Hatheway Incorporated, Pasadena, California, USA"This book was written by the two most renowned specialists in optomechanics. The text is skillfully written to be understood easily while covering all the most important aspect of the optomechanical field. The material presented in the book is backed up with tutorial examples and exercises, thus distinguishing itself from other reference books in optomechanics intended to be used by practicing engineers. This textbook is an exceptional legacy of the fathers of optomechanics for the new generation of optomechanical engineers."—Frédéric Lamontagne, INO, Quebec City, Canada"It’s a terrific introduction into the field of optomechanical engineering that will allow novices and experienced engineers the prerequisite background and understanding of the highly integrated and complex engineering that is required to design and build a high precision optical system."—Keith B. Doyle, MIT Lincoln Laboratory, Lexington, Massachusetts, United States"Yoder and Vukobratovich do an exceptional job of creating content that is introductory at heart, but thorough enough to be useful and practical in application. It is unusual to get an engineering perspective woven into theory but they skillfully include both. Optomechanics is such a critical cross-discipline field for optics and it is unfortunately woefully underserved by the talent pipeline. An introductory text like this would be well-served to be on shelves of both optical and mechanical engineers in order to address the gap between the two disciplines."—Katie Schwertz, Edmund Optics, Tucson, Arizona, USA"The book would be ideal as a textbook for graduate students with some knowledge of both optics and mechanical engineering, or for practitioners in the field."--Bogdan Hoanca, a professor of management information systems at the University of Alaska Anchorage, USATable of ContentsIntroduction. Opto-Mechanical Design Process. Materials Selection. Principles of Kinematic Design. Mounting Windows. Mounting Individual Lenses. Mounting Multiple Lens Assemblies. Techniques for Mounting Prisms. Factors Affecting Mirror Performance. Design and Mounting of Small Mirrors. Design and Mounting of Metallic Mirrors. Appendices. Tables of Material Properties. Environmental Tables. References.

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Book SynopsisOriginally published in 1954, as part of the Cambridge Monographs on Physics series, this book presents a detailed study of the properties of ferromagnetic substances. After an introductory survey the text considers in detail the various factors affecting the behaviour of individual domains. It is then shown how, by paying attention to certain effects of demagnetizing fields, a consistent picture can be built up of the way in which the domains are combined in actual ferromagnetic substances. In later chapters it is revealed that the observed behaviour of ferromagnetic materials depends on the laws governing individual domains, with particular reference to experiments, including those of the author which show this depends in a simple form. This book will be of value to anyone with an interest in ferromagnetism, industrial physics and the history of science.Table of ContentsList of plates; Preface; 1. Introduction; 2. Magnetocrystalline anisotropy; 3. Magnetostriction; 4. Domain arrangement; 5. Domain walls; 6. Hindrances to domain wall movements; 7. Time effects; 8. Magnetic and thermal energy changes; References; Index.

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Book SynopsisErnst Mach (1838â1916), the first scientist to study objects moving faster than the speed of sound, propounded a scientific philosophy which called for a strict adherence to observable data. He maintained that the sole purpose of scientific study is to provide the simplest possible description of detectable phenomena. In this work, first published in German in 1883 and here translated in 1893 by Thomas J. McCormack (1865â1932) from the 1888 second edition, Mach begins with a historical discussion of mechanical principles. He then proceeds to a critique of Newton's concept of 'absolute' space and time, reflecting Mach's rejection of theoretical concepts in the absence of definitive evidence. Although historically controversial, Mach's ideas and attitudes informed philosophers as influential as Russell and Wittgenstein, and his insistence upon a 'relative' idea of space and time provided much of the philosophical basis for Einstein's theory of general relativity decades later.Table of ContentsTranslator's preface; Author's preface to the translation; Preface to the first edition; Preface to the second edition; Introduction; 1. The development of the principles of statics; 2. The development of the principles of dynamics; 3. The extended application of the principles of mechanics and the deductive development of the science; 4. The formal development of mechanics; 5. The relation of mechanics to the departments of knowledge; Appendix; Chronological table; Index.

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Book SynopsisThis series has been developed specifically for the Cambridge International AS & A Level Mathematics (9709) syllabus to be examined from 2020.Table of ContentsIntroduction; 1. Velocity and acceleration; 2. Force and motion in one dimension; 3. Forces in two dimensions; 4. Friction; 5. Connected particles; 6. General motion in a straight line; 7. Momentum; 8. Work and energy; 9. The work–energy principle and power; Answers

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Book SynopsisA concise introductory course text on continuum mechanics Fundamentals of Continuum Mechanics focuses on the fundamentals of the subject and provides the background for formulation of numerical methods for large deformations and a wide range of material behaviours.Trade Review“Motivated students will benefit from this systematic, disciplined and concise treatment of the fundamentals of continuum mechanics. Many practitioners will also appreciate the logical organization, and the lucid descriptions of such matters as the distinctions between the various common stress and strain measures.” (Pure and Applied Geophysics, 1 November 2015) Table of ContentsPreface xiii Nomenclature xv Introduction 1 Part One Mathematical Preliminaries 3 1 Vectors 5 1.1 Examples 9 1.1.1 9 1.1.2 9 Exercises 9 Reference 11 2 Tensors 13 2.1 Inverse 15 2.2 Orthogonal Tensor 16 2.3 Principal Values 16 2.4 Nth-Order Tensors 18 2.5 Examples 18 2.5.1 18 2.5.2 18 Exercises 19 3 Cartesian Coordinates 21 3.1 Base Vectors 21 3.2 Summation Convention 23 3.3 Tensor Components 24 3.4 Dyads 25 3.5 Tensor and Scalar Products 27 3.6 Examples 29 3.6.1 29 3.6.2 29 3.6.3 29 Exercises 30 Reference 30 4 Vector (Cross) Product 31 4.1 Properties of the Cross Product 32 4.2 Triple Scalar Product 33 4.3 Triple Vector Product 33 4.4 Applications of the Cross Product 34 4.4.1 Velocity due to Rigid Body Rotation 34 4.4.2 Moment of a Force P about O 35 4.5 Non-orthonormal Basis 36 4.6 Example 37 Exercises 37 5 Determinants 41 5.1 Cofactor 42 5.2 Inverse 43 5.3 Example 44 Exercises 44 6 Change of Orthonormal Basis 47 6.1 Change of Vector Components 48 6.2 Definition of a Vector 50 6.3 Change of Tensor Components 50 6.4 Isotropic Tensors 51 6.5 Example 52 Exercises 53 Reference 56 7 Principal Values and Principal Directions 57 7.1 Example 59 Exercises 60 8 Gradient 63 8.1 Example: Cylindrical Coordinates 66 Exercises 67 Part Two Stress 69 9 Traction and Stress Tensor 71 9.1 Types of Forces 71 9.2 Traction on Different Surfaces 73 9.3 Traction on an Arbitrary Plane (Cauchy Tetrahedron) 75 9.4 Symmetry of the Stress Tensor 76 Exercise 77 Reference 77 10 Principal Values of Stress 79 10.1 Deviatoric Stress 80 10.2 Example 81 Exercises 82 11 Stationary Values of Shear Traction 83 11.1 Example: Mohr–Coulomb Failure Condition 86 Exercises 88 12 Mohr’s Circle 89 Exercises 93 Reference 93 Part Three Motion and Deformation 95 13 Current and Reference Configurations 97 13.1 Example 102 Exercises 103 14 Rate of Deformation 105 14.1 Velocity Gradients 105 14.2 Meaning of D 106 14.3 Meaning of W 108 Exercises 109 15 Geometric Measures of Deformation 111 15.1 Deformation Gradient 111 15.2 Change in Length of Lines 112 15.3 Change in Angles 113 15.4 Change in Area 114 15.5 Change in Volume 115 15.6 Polar Decomposition 116 15.7 Example 118 Exercises 118 References 120 16 Strain Tensors 121 16.1 Material Strain Tensors 121 16.2 Spatial Strain Measures 123 16.3 Relations Between D and Rates of EG and U 124 16.3.1 Relation Between Ė and D 124 16.3.2 Relation Between D and U 125 Exercises 126 References 128 17 Linearized Displacement Gradients 129 17.1 Linearized Geometric Measures 130 17.1.1 Stretch in Direction N 130 17.1.2 Angle Change 131 17.1.3 Volume Change 131 17.2 Linearized Polar Decomposition 132 17.3 Small-Strain Compatibility 133 Exercises 135 Reference 135 Part Four Balance of Mass, Momentum, and Energy 137 18 Transformation of Integrals 139 Exercises 142 References 143 19 Conservation of Mass 145 19.1 Reynolds’ Transport Theorem 148 19.2 Derivative of an Integral over a Time-Dependent Region 149 19.3 Example: Mass Conservation for a Mixture 150 Exercises 151 20 Conservation of Momentum 153 20.1 Momentum Balance in the Current State 153 20.1.1 Linear Momentum 153 20.1.2 Angular Momentum 154 20.2 Momentum Balance in the Reference State 155 20.2.1 Linear Momentum 156 20.2.2 Angular Momentum 157 20.3 Momentum Balance for a Mixture 158 Exercises 159 21 Conservation of Energy 161 21.1 Work-Conjugate Stresses 163 Exercises 165 Part Five Ideal Constitutive Relations 167 22 Fluids 169 22.1 Ideal Frictionless Fluid 169 22.2 Linearly Viscous Fluid 171 22.2.1 Non-steady Flow 173 Exercises 175 Reference 176 23 Elasticity 177 23.1 Nonlinear Elasticity 177 23.1.1 Cauchy Elasticity 177 23.1.2 Green Elasticity 178 23.1.3 Elasticity of Pre-stressed Bodies 179 23.2 Linearized Elasticity 182 23.2.1 Material Symmetry 183 23.2.2 Linear Isotropic Elastic Constitutive Relation 185 23.2.3 Restrictions on Elastic Constants 186 23.3 More Linearized Elasticity 187 23.3.1 Uniqueness of the Static Problem 188 23.3.2 Pressurized Hollow Sphere 189 Exercises 191 Reference 194 Index 195

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Book SynopsisPresents a self-contained introduction to continuum mechanics that illustrates how many of the important partial differential equations of applied mathematics arise from continuum modeling principles Written as an accessible introduction, Continuum Mechanics: The Birthplace of Mathematical Models provides a comprehensive foundation for mathematical models used in fluid mechanics, solid mechanics, and heat transfer. The book features derivations of commonly used differential equations based on the fundamental continuum mechanical concepts encountered in various fields, such as engineering, physics, and geophysics. The book begins with geometric, algebraic, and analytical foundations before introducing topics in kinematics. The book then addresses balance laws, constitutive relations, and constitutive theory. Finally, the book presents an approach to multiconstituent continua based on mixture theory to illustrate how phenomena, such as diffusion and porous-Table of ContentsPreface v 1 Geometric Setting 1 1.1 Vectors and Euclidean Point Space 2 1.1.1 Vectors 2 1.1.2 Euclidean Point Space 6 1.1.3 Summary 8 1.2 Tensors 8 1.2.1 First-Order Tensors and Vectors 8 1.2.2 Second-Order Tensors 11 1.2.3 Cross Products, Triple Products, and Determinants 15 1.2.4 Orthogonal Tensors 20 1.2.5 Invariants of a Tensor 21 1.2.6 Derivatives of Tensor-Valued Functions 24 1.2.7 Summary 27 2 Kinematics I: The Calculus of Motion 29 2.1 Bodies, Motions, and Deformations 29 2.1.1 Deformation 32 2.1.2 Examples of Motions 33 2.1.3 Summary 36 2.2 Derivatives of Motion 36 2.2.1 Time Derivatives 37 2.2.2 Derivatives with Respect to Position 38 2.2.3 The Deformation Gradient 40 2.2.4 Summary 42 2.3 Pathlines, Streamlines, and Streaklines 43 2.3.1 Three Types of Arc 43 2.3.2 An Example 45 2.3.3 Summary 49 2.4 Integrals Under Motion 49 2.4.1 Arc, Surface, and Volume Integrals 49 2.4.2 Reynolds Transport Theorem 55 2.4.3 Summary 57 3 Kinematics II: Strain and its Rates 59 3.1 Strain 59 3.1.1 Symmetric Tensors 60 3.1.2 Polar Decomposition and the Deformation Gradient 64 3.1.3 Examples 66 3.1.4 Cauchy–Green and Strain Tensors 68 3.1.5 Strain Invariants 70 3.1.6 Summary 71 3.2 Infinitesimal Strain 72 3.2.1 The Infinitesimal Strain Tensor 72 3.2.2 Summary 75 3.3 Strain Rates 75 3.3.1 Stretching and Spin Tensors 76 3.3.2 Skew Tensors, Spin, and Vorticity 79 3.3.3 Summary 84 3.4 Vorticity and Circulation 84 3.4.1 Circulation 84 3.4.2 Summary 88 3.5 Observer Transformations 89 3.5.1 Changes in Frame of Reference 89 3.5.2 Summary 95 4 Balance Laws 97 4.1 Mass Balance 98 4.1.1 Local Forms of Mass Balance 99 4.1.2 Summary 102 4.2 Momentum Balance 102 4.2.1 Analysis of Stress 104 4.2.2 Inertial Frames of Reference 110 4.2.3 Momentum Balance in Referential Coordinates 113 4.2.4 Summary 114 4.3 Angular Momentum Balance 115 4.3.1 Symmetry of the Stress Tensor 117 4.3.2 Summary 118 4.4 Energy Balance 119 4.4.1 Thermal Energy Balance 122 4.4.2 Summary 124 4.5 Entropy Inequality 124 4.5.1 Motivation 125 4.5.2 Clausius–Duhem Inequality 126 4.5.3 Summary 127 4.6 Jump Conditions 127 4.6.1 Singular Surfaces 129 4.6.2 Localization 132 4.6.3 Summary 135 5 Constitutive Relations: Examples of Mathematical Models 137 5.1 Heat Transfer 138 5.1.1 Properties of the Heat Equation 140 5.1.2 Summary 142 5.2 Potential Theory 143 5.2.1 Motivation 143 5.2.2 Boundary Conditions 144 5.2.3 Uniqueness of Solutions to the Poisson Equation 146 5.2.4 Maximum Principle 147 5.2.5 Mean Value Property 150 5.2.6 Summary 151 5.3 Fluid Mechanics 152 5.3.1 Ideal Fluids 152 5.3.2 An Ideal Fluid in a Rotating Frame of Reference 154 5.3.3 Acoustics 155 5.3.4 Incompressible Newtonian Fluids 158 5.3.5 Stokes Flow 159 5.3.6 Summary 163 5.4 Solid Mechanics 164 5.4.1 Static Displacements 164 5.4.2 Elastic Waves 167 5.4.3 Summary 170 6 Constitutive Theory 173 6.1 Conceptual Setting 174 6.1.1 The Need to Close the System 174 6.1.2 Summary 176 6.2 Determinism and Equipresence 177 6.2.1 Determinism 177 6.2.2 Equipresence 177 6.2.3 Summary 178 6.3 Objectivity 179 6.3.1 Reducing Functional Dependencies 180 6.3.2 Summary 182 6.4 SYMMETRY 183 6.4.1 Changes in Reference Configuration 183 6.4.2 Symmetry Groups 186 6.4.3 Classification of Materials 189 6.4.4 Implications for Thermoviscous Fluids 193 6.4.5 Summary 193 6.5 Admissibility 194 6.5.1 Implications of the Entropy Inequality 195 6.5.2 Analysis of Equilibrium 197 6.5.3 Linear, Isotropic, Thermoelastic Solids 199 6.5.4 Summary 202 7 Multiconstituent Continua 203 7.1 Constituents 204 7.1.1 Configurations and Motions 204 7.1.2 Volume Fractions and Densities 206 7.1.3 Summary 208 7.2 Multiconstituent Balance Laws 209 7.2.1 Multiconstituent Mass Balance 210 7.2.2 Multiconstituent Momentum Balance 212 7.2.3 Multiconstituent Angular Momentum Balance 214 7.2.4 Multiconstituent Energy Balance 215 7.2.5 Multiconstituent Entropy Inequality 216 7.2.6 Isothermal, Nonreacting Multiphase Mixtures 217 7.2.7 Summary 219 7.3 Fluid Flow in a Porous Solid 220 7.3.1 Modeling Assumptions for Porous Media 221 7.3.2 Balance Laws for the Fluid and Solid Phases 223 7.3.3 Equilibrium Constraints 225 7.3.4 Linear Extensions From Equilibrium 226 7.3.5 Commentary 228 7.3.6 Potential Formulation of Darcy’s Law 229 7.3.7 Summary 233 7.4 Diffusion in a Binary Fluid Mixture 234 7.4.1 Modeling Assumptions for Binary Diffusion 235 7.4.2 Balance Laws for the Two Species 235 7.4.3 Constitutive Relationships for Diffusion 236 7.4.4 Modeling Solute Transport 239 7.4.5 Summary 242 A Guide to Notation 243 A.1 General Conventions 243 A.2 Letters Reserved for Dedicated Uses 244 A.3 Special Symbols 245 B Vector Integral Theorems 247 B.1 Stokes’s Theorem 248 B.2 The Divergence Theorem 249 B.3 The Change-of-variables Theorem 252 C Hints and Solutions to Exercises 253 References 265 Index 269

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Book SynopsisThis book has been designed as a result of the author's teaching experiences; students in the courses came from various disciplines and it was very difficult to prescribe a suitable textbook, not because there are no books on these topics, but because they are either too exhaustive or very elementary. This book, therefore, includes only relevant topics in the fundamentals of the physics of semiconductors and of electrochemistry needed for understanding the intricacy of the subject of photovoltaic solar cells and photoelectrochemical (PEC) solar cells. The book provides the basic concepts of semiconductors, p:n junctions, PEC solar cells, electrochemistry of semiconductors, and photochromism. Researchers, engineers and students engaged in researching/teaching PEC cells or knowledge of our sun, its energy, and its distribution to the earth will find essential topics such as the physics of semiconductors, the electrochemistry of semiconductors, p:n junctions, Schottky junctions,Table of ContentsForeword xv Preface xvii 1 Our Universe and the Sun 1 1.1 Formation of the Universe 1 1.2 Formation of Stars 2 1.2.1 Formation of Energy in the Sun 3 1.2.2 Description of the Sun 6 1.2.3 Transfer of Solar Rays through the Ozone Layer 6 1.2.4 Transfer of Solar Layers through Other Layers 7 1.2.5 Effect of Position of the Sun vis-à-vis the Earth 8 1.2.6 Distribution of Solar Energy 8 1.2.7 Solar Intensity Calculation 8 1.3 Summary 12 Reference 12 2 Solar Energy and Its Applications 13 2.1 Introduction to a Semiconductor 14 2.2 Formation of a Compound 14 2.2.1 A Classical Approach 14 2.2.2 Why Call It a Band and Not a Level? 15 2.2.3 Quantum Chemistry Approach 17 2.2.3.1 Wave Nature of an Electron in a Fixed Potential 17 2.2.3.2 Wave Nature of an Electron under a Periodically Changing Potential 19 2.2.3.3 Bloch’s Solution to the Wave Function of Electrons under Variable Potentials 20 2.2.3.3 Concept of a Forbidden Gap in a Material 22 2.2.4 Band Model to Explain Conductivity in Solids 25 2.2.4.1 Which of the Total Electrons Will Accept the External Energy for Their Excitation? 26 2.2.4.2 Density of States 28 2.2.4.3 How Do We Find the Numbers of Electrons in These Bands? 29 2.2.5 Useful Deductions 31 2.2.5.1 Extrinsic Semiconductor 33 2.2.5.2 Role of Dopants in the Semiconductor 36 2.3 Quantum Theory Approach to Explain the Effect of Doping 37 2.3.1 A Mathematical Approach to Understanding This Problem 39 2.3.2 Representation of Various Energy Levels in a Semiconductor 40 2.4 Types of Carriers in a Semiconductor 42 2.4.1 Majority and Minority Carriers 42 2.4.2 Direction of Movement of Carriers in a Semiconductor 42 2.5 Nature of Band Gaps in Semiconductors 44 2.6 Can the Band Gap of a Semiconductor Be Changed? 45 2.7 Summary 47 Further Reading 47 3 Theory of Junction Formation 49 3.1 Flow of Carriers across the Junction 49 3.1.1 Why Do Carriers Flow across an Interface When n- and p-Type Semiconductors Are Joined Together with No Air Gap? 49 3.1.2 Does the Vacuum Level Remain Unaltered, and What Is the Significance of Showing a Bend in the Diagram? 52 3.1.3 Why Do We Draw a Horizontal or Exponential Line to Represent the Energy Level in the Semiconductor with a Long Line? 52 3.1.4 What Are the Impacts of Migration of Carriers toward the Interface? 52 3.2 Representing Energy Levels Graphically 54 3.3 Depth of Charge Separation at the Interface of n- and p-Type Semiconductors 56 3.4 Nature of Potential at the Interface 56 3.4.1 Does Any Current Flow through the Interface? 56 3.4.2 Effect of Application of External Potential to the p:n Junction Formed by the Two Semiconductors 58 3.4.2.1 Flow of Carriers from n-Type to p-Type 59 3.4.2.2 Flow of Carriers from p-Type to n-Type 60 3.4.2.3 Flow of Current due to Holes 60 3.4.2.4 Flow of Current due to Electrons 61 3.4.3 What Would Happen If Negative Potential Were Applied to a p-Type Semiconductor? 62 3.4.3.1 Flow of Majority Carriers from p- to n-Type Semiconductors 63 3.4.3.2 Flow of Majority Carriers from n- to p-Type 63 3.4.3.3 Flow of Minority Carrier from p- to n-Type Semiconductors 64 3.4.3.3 Flow of Minority Carriers from n- to p-Type Semiconductors 64 3.5 Expression for Saturation (or Exchange) Current I0 67 3.5.1 Factors on Which Diffusion Length Depends 70 3.6 Contact Potential θ 71 3.7 Width of the Space Charge Region 75 3.8 Metal–Schottky Junction 81 3.8.1 Current–Voltage Characteristics for Metal–Schottky Junctions 84 3.8.2 Saturation Current for Metal–Schottky Junctions 87 3.9 Effect of Light on p:n Junctions 90 3.10 Factors to Be Considered in Illuminating the p:n Junction 94 3.10.1 Grids for Collecting the Charges 95 3.10.2 Ohmic Contact on the Back Side of the Junction 96 3.11 Types of p:n Junctions 97 3.12 A Photoelectrochemical Cell 97 3.13 Summary 100 Further Reading 100 4 Effect of Illumination of a PEC Cell 101 4.1 Effect of Light on the Depletion Layer of the Semiconductor—Electrolyte Junction 101 4.1.1 Origin of Photopotential 102 4.1.2 Origin of Photocurrent 104 4.2 The Fate of Photogenerated Carriers 105 4.3 Magnitude of the Photocurrent 106 4.4 Gartner Model for Photocurrent 108 4.4.1 Photocurrent due to Photogenerated Carriers in the Space Charge Region 109 4.4.2 Photocurrent due to Photogenerated Carriers in the Diffusion Region 109 4.4.3 Application of the Gartner Model 111 4.4.4 When α Is Constant 112 4.4.5 When w Is Kept Constant 115 4.4.6 Lifetime of Carriers and Their Mobility 118 4.5 Carrier Recombination 118 4.5.1 Significance of the Lifetime of Carriers 119 4.5.2 Effect of Recombination Center on the Magnitude of Photocurrent 120 4.5.3 Origin of Recombination Centers 121 4.6 A Mathematical Treatment for the Lifetime of Carriers 122 4.7 Effect of Illumination on Fermi Level-Quasi Fermi Level 124 4.8 Solar Cell Performance 130 4.9 Current—Voltage Characteristics of a Solar Cell 135 4.10 The Equivalent Circuit of a Solar Cell 138 4.11 Solar Cell Efficiency 139 4.11.1 Absorption Efficiency αλ 141 4.11.2 Generation Efficiency gλ 141 4.11.3 Collection Efficiency Cλ 141 4.11.4 Current Efficiency Qλ 142 4.11.5 Voltage Factor and Fill Factor 142 4.11.6 Analytical Methods for J-V Characteristics of a Solar Cell 144 4.11.7 Back Wall Cell 145 4.12 Ohmic Contact 147 4.13 Defects in Solids 148 4.13.1 Bulk Defects 150 4.13.2 Surface Structure 150 4.14 Summary 153 Further Reading 153 References 154 5 Electrochemistry of the Metal–Electrolyte Interface 157 5.1 What Is a Metal? 158 5.2 What Is the Structure of Electrolyte and Water Molecules in an Aqueous Solution? 158 5.3 What Happens When a Metal Is Immersed in Solution? 160 5.4 Existence of a Double Layer Near the Metal–Electrolyte Interface 160 5.5 Influence of Concentration of Electrolyte on Helmholtz and Diffusion Potentials 166 5.6 Impact of Charge Accumulation at Various Regions 166 5.7 Electron Transfer and Its Impact on Potential Barrier 171 5.8 Butler–Volmer Approach to Electrochemical Reaction 181 5.9 Significance of Symmetry Factor β 191 5.10 Electrochemical Corrosion at the Metal–Electrolyte Interface 194 5.11 Summary 199 Further Reading 199 References 199 6 Electrochemistry of the Semiconductor–Electrolyte Interface 201 6.1 Difference between Metal and Semiconductor 201 6.1.1 Hydration of Electrolytes 202 6.1.2 Effect of Hydrogen Bond 203 6.2 Gaussian Distribution of the Potential Energy of Electrolytes 203 6.3 Capacitance at the Semiconductor–Electrolyte Interface 212 6.4 Stability of the Semiconductor 216 6.5 Modifying the Surface of Low Band Gap Materials 223 6.6 Summary 225 References 225 7 Impedance Studies 227 7.1 Types of AC Circuits 228 7.2 Significance of Vector Analysis 230 7.3 Impedance Measurement Techniques 234 7.3.1 Audio Frequency Bridges 234 7.3.2 Transformer Ratio Arms Bridge 236 7.3.3 Berberian–Cole Bridge Technique 237 7.3.4 Potentiostatic Measurement 238 7.3.5 Oscilloscope Technique 239 7.4 AC Impedance Plots and Data Analysis 242 7.4.1 Nyquist Plot 242 7.4.2 Bode Plot 243 7.4.3 Randles Plot 244 7.5 Equivalent Circuit Representation of a Simple System 245 7.6 Equivalent Circuit Representation for Electro-chemical Systems 246 7.7 Procedure for Running an Experiment 248 7.8 Semiconductor Interface 250 7.9 Summary 253 Further Reading 254 References 254 8 Photoelectrochemical Solar Cell 257 8.1 Classification of Photoelectrochemical Cells Based on the Energetics of the Reactions 263 8.2 Solar Chargeable Battery 264 8.3 Electrolyte-(Ohmic)-Semiconductor-Electrolyte (Schottky) Junction 273 8.3.1 On the Illuminated Side of Fe2O3 275 8.3.2 On the Dark Side of the Semiconductor—Compartment II 276 8.4 Synthesis of Value-Added Products 280 8.5 Summary 283 References 283 9 Photoeletrochromism 285 9.1 Photochromic Glasses 287 9.2 Electrochromism 291 9.2.1 Types of Chromogenic Materials 292 9.2.2 Electrolytes 294 9.2.3 Electrode Materials 294 9.2.4 Reservoir 294 9.3 Electrochromic Devices and Their Applications 295 9.4 Imaging Employing a Semiconductor Photo-electrode 301 9.4.1 Image-Forming Step 302 9.4.2 Image-Vanishing Step 302 9.5 Summary 303 References 303 10 Dye-Sensitized Solar Cells 305 10.1 The Dye-Sensitized Cell 306 10.2 Flexible Polymer Solar Cell 308 10.3 Summary 310 References 310 Index 313

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Book SynopsisProcess machines are critical to the profitability of processes. Safe, efficient and reliable machines are required to maintain dependable manufacturing processes that can create saleable, on-spec product on time, and at the desired production rate. As the wards of process machinery, we wish to keep our equipment in serviceable condition. One of the most challenging aspects of a machinery professional or operator''s job is deciding whether an operating machine should be shut down due to a perceived problem or be allowed to keep operating. If he or she wrongly recommends a repair be conducted, the remaining useful machine life is wasted, but if he or she is right, they can save the organization from severe consequences, such as product releases, fires, costly secondary machine damage, etc. This economic balancing act is at the heart of all machinery assessments. Troubleshooting is part science and part art. Simple troubleshooting tables or decision trees are rarely effeTable of ContentsPreface xi Acknowledgements xv 1 Troubleshooting for Fun and Profit 1 1.1 Why Troubleshoot? 10 1.2 Traits of a Successful Troubleshooter 13 2 An Insight in Design: Machines and Their Components Serve a Function 19 2.1 An Overview of the Design Process 30 2.2 Complex Machine Element Environments 34 3 Machinery Design Issues and Failure Modes 37 3.1 Common Failure Modes 44 3.1.1 Pluggage 45 3.1.2 Erosive Wear 45 3.1.3 Fatigue 46 3.1.4 Compressor Blade Fatigue Example 47 3.1.5 Bearing Failure 49 3.1.6 Rubbing 50 3.1.7 Unique Failure Modes 50 4 Machinery in Process Services – The Big Picture 53 5 Causes Versus Symptoms 61 5.1 Causal Chains 66 5.2 Summary 71 6 Approach Field Troubleshooting Like a Reputable News Reporter 73 7 The “What” Questions 77 7.1 What is the Problem or What Are the Symptoms? 78 7.2 What Is Your Assessment of the Problem? 80 7.3 What Is at Stake? 85 7.4 What Risk Is at Hand? 86 7.5 What Additional Information Is Required? 87 8 Who Knows the Most About the Problem? 91 9 When Do the Symptoms Show Up? 97 9.1 “When” Questions to Ask 100 9.2 Ways to Display Time Related Data 101 9.3 Timelines 102 9.4 Trend Plots 106 9.5 Constant Amplitude Trends 110 9.6 Step Changes 110 9.7 Gradual Versus Rapidly Changing Trends 111 9.8 Correlations 113 9.9 Speed-Related Issues 114 9.10 Erratic Amplitude 117 10 Where Do the Symptoms Show Up? 121 10.1 Locating a Machine-Train Problem 122 10.2 Troubleshooting Problems Involving Multiple Machine-Trains 128 10.3 Multiple Versus Single Machine Train Examples 130 10.4 Analyzing Noises, Pings, and Knocks 132 10.5 Seeing the Light at the End of the Tunnel 135 11 Why Is the Problem Occurring? 137 11.1 Fitting the Pieces Together 139 11.2 Reciprocating Compressor Example 142 11.3 Troubleshooting Matrices 143 11.4 Assessing Machine with Multiple Symptoms 144 12 Analyze, Test, Act, and Confirm (Repeat as Needed) 147 12.1 The Iterative Path to the Final Solution 150 13 Real-World Examples 155 13.1 Case Study #1 155 13.1.1 Closing Comments 158 13.2 Case Study #2 158 13.2.1 Closing Comments 163 13.3 Case Study #3 163 13.3.1 Closing Comments 170 13.4 Case Study #4 170 13.5 Case Study #5 174 13.5.1 Closing Comments 179 14 The “Hourglass” Approach to Troubleshooting 181 14.1 Thinking and Acting Globally 186 15 Vibration Analysis 187 15.1 Vibration Analysis Primer 188 15.2 Identifying Machine Vibration Characteristics 201 16 Applying the 5Qs to Rotordynamic Investigations 207 16.1 Introduction 208 16.1.1 Rotordynamics: A Brief Overview 208 16.2 Using Rotordynamic Results for Troubleshooting 213 16.3 Closing 222 17 Managing Critical Machinery Vibration Data 227 17.1 Vibration Analysis Strategies 230 18 Closing Remarks 235 18.1 Practice the Method 235 18.2 Provide Training on Fault Trees and Cause Mapping 236 18.3 Employ Team Approach for Complex Problems 236 18.4 Get Management’s Support 237 Appendix A: The Field Troubleshooting Process—Step by Step 239 Appendix B: Troubleshooting Matrices and Tables 249 Index 351

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Book SynopsisThe Advances in Chemical Physics series provides the chemical physics field with a forum for critical, authoritative evaluations of advances in every area of the discipline. This is the only series of volumes available that presents the cutting edge of research in chemical physics.Table of ContentsList of Contributors Volume 162 IX Preface to the Series XI ELECTRONIC STRUCTURE AND DYNAMICS OF SINGLET FISSION IN ORGANIC MOLECULES AND CRYSTALS 1Timothy C. Berkelbach AN APPROACH TO “QUANTUMNESS” IN COHERENT CONTROL 39Torsten Scholak and Paul Brumer ENERGETIC AND NANOSTRUCTURAL DESIGN OF SMALL-MOLECULAR-TYPE ORGANIC SOLAR CELLS 137Masahiro Hiramoto SINGLE MOLECULE DATA ANALYSIS: AN INTRODUCTION 205Meysam Tavakoli, J. Nicholas Taylor, Chun-Biu Li,Tamiki Komatsuzaki, and Steve Pressé CHEMISTRY WITH CONTROLLED IONS 307Stefan Willitsch Index 341

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Book SynopsisA revised edition to applied gas dynamics with exclusive coverage on jets and additional sets of problems and examples The revised and updated second edition of Applied Gas Dynamics offers an authoritative guide to the science of gas dynamics. Written by a noted expert on the topic, the text contains a comprehensive review of the topic; from a definition of the subject, to the three essential processes of this science: the isentropic process, shock and expansion process, and Fanno and Rayleigh flows. In this revised edition, there are additional worked examples that highlight many concepts, including moving shocks, and a section on critical Mach number is included that helps to illuminate the concept. The second edition also contains new exercise problems with the answers added. In addition, the information on ram jets is expanded with helpful worked examples. It explores the entire spectrum of the ram jet theory and includes a set of exercise problems to aid in the understanding ofTable of ContentsPreface xv Author Biography xvii About the Companion Website xix 1 Basic Facts 1 1.1 Definition of Gas Dynamics 1 1.2 Introduction 1 1.3 Compressibility 2 1.3.1 Limiting Conditions for Compressibility 3 1.4 Supersonic Flow – What is it? 4 1.5 Speed of Sound 5 1.6 Temperature Rise 7 1.7 Mach Angle 8 1.7.1 Small Disturbance 10 1.7.2 Finite Disturbance 10 1.8 Thermodynamics of Fluid Flow 11 1.9 First Law of Thermodynamics (Energy Equation) 11 1.9.1 Energy Equation for an Open System 12 1.9.2 Adiabatic Flow Process 14 1.10 The Second Law of Thermodynamics (Entropy Equation) 15 1.11 Thermal and Calorical Properties 16 1.11.1 Thermally Perfect Gas 16 1.12 The Perfect Gas 17 1.12.1 Entropy Calculation 18 1.12.2 Isentropic Relations 20 1.12.3 Limitations on Air as a Perfect Gas 25 1.13 Wave Propagation 26 1.14 Velocity of Sound 26 1.15 Subsonic and Supersonic Flows 27 1.16 Similarity Parameters 28 1.17 Continuum Hypothesis 28 1.18 Compressible Flow Regimes 30 1.19 Summary 31 Exercise Problems 34 2 Steady One-Dimensional Flow 43 2.1 Introduction 43 2.2 Fundamental Equations 43 2.3 Discharge from a Reservoir 45 2.3.1 Mass Flow Rate per Unit Area 47 2.3.2 Critical Values 51 2.4 Streamtube Area–Velocity Relation 54 2.5 de Laval Nozzle 57 2.5.1 Mass Flow Relation in Terms of Mach Number 65 2.5.2 Maximum Mass Flow Rate per Unit Area 65 2.6 Supersonic Flow Generation 66 2.6.1 Nozzles 68 2.6.2 Physics of the Nozzle Flow Process 69 2.7 Performance of Actual Nozzles 71 2.7.1 Nozzle Efficiency 71 2.7.2 Nozzle Discharge Coefficient 73 2.8 Diffusers 75 2.8.1 Special Features of Supersonic Diffusers 77 2.8.2 Supersonic Wind Tunnel Diffusers 78 2.8.3 Supersonic Inlets 81 2.8.4 Fixed-Geometry Inlet 82 2.8.5 Variable-Geometry Inlet 83 2.8.6 Diffuser Efficiency 84 2.9 Dynamic Head Measurement in Compressible Flow 88 2.9.1 Compressibility Correction to Dynamic Pressure 91 2.10 Pressure Coefficient 95 2.11 Summary 97 Exercise Problems 99 3 Normal Shock Waves 113 3.1 Introduction 113 3.2 Equations of Motion for a Normal Shock Wave 113 3.3 The Normal Shock Relations for a Perfect Gas 115 3.4 Change of Stagnation or Total Pressure Across a Shock 118 3.5 Hugoniot Equation 121 3.5.1 Moving Shocks 123 3.6 The Propagating Shock Wave 123 3.6.1 Weak Shock 128 3.6.2 Strong Shock 130 3.7 Reflected Shock Wave 133 3.8 Centered Expansion Wave 138 3.9 Shock Tube 139 3.9.1 Shock Tube Applications 142 3.10 Summary 145 Exercise Problems 148 4 Oblique Shock and Expansion Waves 155 4.1 Introduction 155 4.2 Oblique Shock Relations 156 4.3 Relation Between 𝛽 and 𝜃 158 4.4 Shock Polar 160 4.5 Supersonic Flow Over a Wedge 162 4.6 Weak Oblique Shocks 165 4.7 Supersonic Compression 167 4.8 Supersonic Expansion by Turning 169 4.9 The Prandtl–Meyer Expansion 170 4.9.1 Velocity Components Vr and V𝜙 172 4.9.2 The Prandtl–Meyer Function 175 4.9.3 Compression 177 4.10 Simple and Nonsimple Regions 178 4.11 Reflection and Intersection of Shocks and Expansion Waves 178 4.11.1 Intersection of Shocks of the Same Family 181 4.11.2 Wave Reflection from a Free Boundary 183 4.12 Detached Shocks 189 4.13 Mach Reflection 191 4.14 Shock-Expansion Theory 197 4.15 Thin Airfoil Theory 202 4.15.1 Application of Thin Aerofoil Theory 203 4.16 Summary 210 Exercise Problems 212 5 Compressible Flow Equations 221 5.1 Introduction 221 5.2 Crocco’s Theorem 221 5.2.1 Basic Solutions of Laplace’s Equation 224 5.3 General Potential Equation for Three-Dimensional Flow 225 5.4 Linearization of the Potential Equation 226 5.4.1 Small Perturbation Theory 227 5.5 Potential Equation for Bodies of Revolution 229 5.5.1 Conclusions 230 5.5.2 Solution of Nonlinear Potential Equation 231 5.6 Boundary Conditions 231 5.6.1 Bodies of Revolution 232 5.7 Pressure Coefficient 233 5.7.1 Bodies of Revolution 234 5.8 Summary 234 Exercise Problems 237 6 Similarity Rule 239 6.1 Introduction 239 6.2 Two-Dimensional Flow: The Prandtl–Glauert Rule for Subsonic Flow 239 6.2.1 Prandtl–Glauert Transformations 239 6.2.2 The Direct Problem (Version I) 241 6.2.3 The Indirect Problem (Case of Equal Potentials): P–G Transformation (Version II) 243 6.2.4 Streamline Analogy (Version III): Gothert’s Rule 244 6.3 Prandtl–Glauert Rule for Supersonic Flow: Versions I and II 245 6.3.1 Subsonic Flow 246 6.3.2 Supersonic Flow 246 6.4 The von Karman Rule for Transonic Flow 248 6.4.1 Use of the von Karman Rule 249 6.5 Hypersonic Similarity 250 6.6 Three-Dimensional Flow: Gothert’s Rule 252 6.6.1 General Similarity Rule 252 6.6.2 Gothert’s Rule 254 6.6.3 Application toWings of Finite Span 255 6.6.4 Application to Bodies of Revolution and Fuselages 255 6.6.5 The Prandtl–Glauert Rule 257 6.6.6 The von Karman Rule for Transonic Flow 261 6.7 Critical Mach Number 261 6.7.1 Calculation of M∗∞ 264 6.8 Summary 266 Exercise Problems 269 7 Two-Dimensional Compressible Flows 271 7.1 Introduction 271 7.2 General Linear Solution for Supersonic Flow 271 7.2.1 Existence of Characteristics in a Physical Problem 273 7.2.2 Equation for the Streamlines from Kinematic Flow Condition 274 7.3 Flow over a Wave-Shaped Wall 276 7.3.1 Incompressible Flow 276 7.3.2 Compressible Subsonic Flow 277 7.3.3 Supersonic Flow 278 7.3.4 Pressure Coefficient 278 7.4 Summary 280 Exercise Problems 280 8 Flow with Friction and Heat Transfer 283 8.1 Introduction 283 8.2 Flow in Constant Area Duct with Friction 283 8.2.1 The Fanno Line 284 8.3 Adiabatic, Constant-Area Flow of a Perfect Gas 285 8.3.1 Definition of Friction Coefficient 286 8.3.2 Effects of Wall Friction on Fluid Properties 287 8.3.3 Second Law of Thermodynamics 288 8.3.4 Working Relations 289 8.4 Flow with Heating or Cooling in Ducts 294 8.4.1 Governing Equations 294 8.4.2 Simple-Heating Relations for a Perfect Gas 295 8.5 Summary 300 Exercise Problems 303 9 Method of Characteristics 309 9.1 Introduction 309 9.2 The Concepts of Characteristics 309 9.3 The Compatibility Relation 310 9.4 The Numerical Computational Method 312 9.4.1 Solid and Free Boundary Points 313 9.4.2 Sources of Error 316 9.4.3 Axisymmetric Flow 316 9.4.4 Nonisentropic Flow 317 9.5 Theorems for Two-Dimensional Flow 318 9.6 Numerical Computation with Weak Finite Waves 320 9.6.1 Reflection of Waves 320 9.7 Design of Supersonic Nozzle 323 9.7.1 Contour Design Details 324 9.8 Summary 328 10 Measurements in Compressible Flow 329 10.1 Introduction 329 10.2 Pressure Measurements 329 10.2.1 Liquid Manometers 329 10.2.2 Measuring Principle of Manometers 330 10.2.3 Dial-Type Pressure Gauges 332 10.2.4 Pressure Transducers 333 10.3 Temperature Measurements 335 10.4 Velocity and Direction 338 10.5 Density Problems 339 10.6 Compressible Flow Visualization 339 10.6.1 Supersonic Flows 340 10.7 Interferometer 341 10.7.1 Formation of Interference Patterns 341 10.7.2 Quantitative Evaluation 342 10.7.3 Fringe-Displacement Method 344 10.8 Schlieren System 344 10.8.1 Range and Sensitivity of the Schlieren System 347 10.8.2 Optical Components Quality Requirements 347 10.8.3 Sensitivity of the Schlieren Method for Shock and Expansion Studies 350 10.9 Shadowgraph 352 10.9.1 Comparison of the Schlieren and Shadowgraph Methods 353 10.10 Wind Tunnels 354 10.10.1 High-SpeedWind Tunnels 354 10.10.2 Blowdown TypeWind Tunnels 354 10.10.3 Induction Type Tunnels 355 10.10.4 Continuous Supersonic Wind Tunnels 356 10.10.5 Losses in Supersonic Tunnels 357 10.10.6 Supersonic Wind Tunnel Diffusers 358 10.10.7 Effects of Second Throat 360 10.10.8 Compressor Tunnel Matching 362 10.10.9 The Mass Flow Rate 365 10.10.10 Blowdown Tunnel Operation 369 10.10.11 Optimum Conditions 372 10.10.12 Running Time of Blowdown Wind Tunnels 373 10.11 Hypersonic Tunnels 375 10.11.1 Hypersonic Nozzle 377 10.12 Instrumentation and Calibration ofWind Tunnels 380 10.12.1 Calibration of SupersonicWind Tunnels 380 10.12.2 Calibration 381 10.12.3 Mach Number Determination 381 10.12.4 Pitot Pressure Measurement 382 10.12.5 Static Pressure Measurement 382 10.12.6 Determination of Flow Angularity 383 10.12.7 Determination of Turbulence Level 383 10.12.8 Determination of Test-Section Noise 384 10.12.9 Use of Calibration Results 384 10.12.10 Starting of Supersonic Tunnels 384 10.12.11 Starting Loads 385 10.12.12 Reynolds Number Effects 385 10.12.13 Model Mounting-Sting Effects 385 10.13 Calibration and Use of Hypersonic Tunnels 386 10.13.1 Calibration of Hypersonic Tunnels 386 10.13.2 Mach Number Determination 386 10.13.3 Determination of Flow Angularity 388 10.13.4 Determination of Turbulence Level 388 10.13.5 Reynolds Number Effects 389 10.13.6 Force Measurements 389 10.14 Flow Visualization 390 10.15 Summary 390 Exercise Problems 393 11 Ramjet 395 11.1 Introduction 395 11.2 The Ideal Ramjet 396 11.3 Aerodynamic Losses 401 11.4 Aerothermodynamics of Engine Components 404 11.4.1 Engine Inlets 404 11.5 Flow Through Inlets 405 11.5.1 Inlet Flow Process 406 11.5.2 Boundary Layer Separation 406 11.5.3 Flow Over the Inlet 406 11.6 Performance of Actual Intakes 410 11.6.1 Isentropic Efficiency 410 11.6.2 Stagnation Pressure Ratio 411 11.6.3 Supersonic Inlets 411 11.6.4 Supersonic Diffusers 412 11.6.5 Starting Problem 413 11.7 Shock–Boundary Layer Interaction 418 11.8 Oblique Shock Wave Incident on Flat Plate 419 11.9 Normal Shocks in Ducts 420 11.10 External Supersonic Compression 422 11.11 Two-Shock Intakes 423 11.12 Multi-Shock Intakes 427 11.13 Isentropic Compression 429 11.14 Limits of External Compression 431 11.15 External Shock Attachment 433 11.16 Internal Shock Attachment 433 11.17 Pressure Loss 434 11.18 Supersonic Combustion 442 11.19 Summary 444 Exercise Problems 447 12 Jets 451 12.1 Introduction 451 12.1.1 Subsonic Jets 453 12.2 Mathematical Treatment of Jet Profiles 454 12.3 Theory of Turbulent Jets 455 12.3.1 Mean Velocity and Mean Temperature 456 12.3.2 Turbulence Characteristics of Free Jets 457 12.3.3 Mixing Length 458 12.4 Experimental Methods for Studying Jets and the Techniques Used for Analysis 461 12.4.1 Pressure Measurement 462 12.5 Expansion Levels of Jets 464 12.5.1 Overexpanded Jets 464 12.5.2 Correctly Expanded Jets 467 12.5.3 Underexpanded Jets 469 12.6 Control of Jets 471 12.6.1 Classification of Control Methods 473 12.6.2 Role of Shear Layer in Flow Control 474 12.6.3 Supersonic Shear Layers 475 12.6.4 Use of Tabs for Jet Control 477 12.6.5 Evaluation of the Effectiveness of Some Specific Passive Controls 481 12.6.6 Grooves and Cutouts 519 12.7 Noncircular Jets and Shifted Tabs 519 12.7.1 Jet Control with Tabs 523 12.7.2 Shifted Tabs 527 12.7.3 Ventilated Triangular Tabs 532 12.7.4 Tab Edge Effect 535 12.8 Summary 541 Appendix A 547 References 619 Index 625

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Book SynopsisThis book covers the fundamentals and basic concepts of analytical and experimental approaches to modal analysis. In practice, the analytical approach based on lumped parameter and finite element models is widely used for modal analysis and simulation, and experimental modal analysis is widely used for modal identification and model validation. This book is inspired by this consideration and is written to give a complete picture of modal analysis.Features: Presents a systematic development of the relevant concepts and methods of the analytical and experimental modal analyses. Covers phase resonance testing and operational modal analysis. Provides the relevant signal processing concepts. Includes applications like model validation and updating, force identification and structural modification. Contains simulations, examples, and MATLAB programs to enhance understanding. Table of Contents1. Introduction. 2. Lumped Parameter Modeling of Vibrating Systems. 3. Finite Element Modeling of Vibrating Systems. 4. Analytical Modal Analysis of SDOF Systems. 5. Analytical Modal Analysis of Undamped MDOF Systems. 6. Analytical Modal Analysis of Damped MDOF Systems. 7. Characteristics of FRFs. 8. Signal Processing for Experimental Modal Analysis. 9. FRF Measurement Using an Impact Hammer. 10. FRF Measurement Using Shaker Excitation. 11. Modal Parameter Estimation Methods. 12. Phase Resonance Testing. 13. Operational Modal Analysis. 14. Applications of Experimental Modal Analysis. 15. Finite Element Model Validation and Updating.

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Book SynopsisIn the dynamic digital age, the widespread use of computers has transformed engineering and science. A realistic and successful solution of an engineering problem usually begins with an accurate physical model of the problem and a proper understanding of the assumptions employed. With computers and appropriate software we can model and analyze complex physical systems and problems.However, efficient and accurate use of numerical results obtained from computer programs requires considerable background and advanced working knowledge to avoid blunders and the blind acceptance of computer results. This book provides the background and knowledge necessary to avoid these pitfalls, especially the most commonly used numerical methods employed in the solution of physical problems. It offers an in-depth presentation of the numerical methods for scales from nano to macro in nine self-contained chapters with extensive problems and up-to-date references, covering: Trends andTrade Review"The book includes detailed descriptions of trending materials modeling methods such as concurrent multiscale methods and molecular dynamics methods. The authors explain well how these methods can be used to model materials at very fine scales and improve predictions compared to conventional approaches. The description contains enough numerical implementation details to allow students, engineers and researchers interested in high fidelity materials modeling to try the methods presented in the book." -- Wing Kam Liu, Northwestern University, USA "This is a one-of-a-kind book and good for numerical methods to solve problems in mechanics of materials, from the nanoscale to the macroscale." -- Shaofan Li, University of California, Berkeley, USA "The book would be of greatest use for practicing engineers or graduate students in mechanical engineering, applied mechanics, applied physics, materials science, and related fields." --J. Lambropoulos, University of Rochester in Choice Connect Table of ContentsThe Role of Numerical Methods in Engineering. Numerical Analysis and Weighted Residuals. Finite Difference Methods. The Finite Element Method. Specialized Methods. The Boundary Element Method. Meshless Methods of Analysis. Multiphysics in Molecular Dynamics Simulation. Multiscale Modeling from Atoms to Genuine Continuum.

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Book SynopsisAnalytical mechanics is a set of mathematical tools used to describe a wide range of physical systems, both in classical mechanics and beyond. It offers a powerful and elegant alternative to Newtonian mechanics; however it can be challenging to learn due to its high degree of mathematical complexity. Designed to offer a more intuitive guide to this abstract topic, this guide explains the mathematical theory underlying analytical mechanics; helping students to formulate, solve and interpret complex problems using these analytical tools. Each chapter begins with an example of a physical system to illustrate the theoretical steps to be developed in that chapter, and ends with a set of exercises to further develop students'' understanding. The book presents the fundamentals of the subject in depth before extending the theory to more elaborate systems, and includes a further reading section to ensure that this is an accessible companion to all standard textbooks.Trade Review'Bohn has written an excellent supplement for understanding analytical mechanics … A further reading section at the back provides useful directions for more study. Overall this will serve as an excellent supplement to a regular mechanics textbook.' S. Tripathi, ChoiceTable of ContentsPreface; Part I. Overview: 1. Why analytical mechanics?; 2. Ways of looking at a pendulum; Part II. Equations of Motion: 3. Constraints and d'Alembert's principle; 4. Lagrangian mechanics; 5. Samples from Lagrangian mechanics; 6. Hamiltonian mechanics; Part III. Methods of Solution: 7. Hamilton–Jacobi theory; 8. Action-Angle variables; 9. More applications of analytical mechanics; Further reading; Index.

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Book SynopsisBook Contents.- 1 Overview.- 2 Linear Structural Analysis.- 3 Exact Analysis of Trusses.- 4 Nonlinear Analysis of Plane Frames.- 5 Nonlinear Analysis of Space Frames.- 6 Nonlinear Analysis of Membranes.- 7 Cablenets and Fabric Structures.- 8 Three-Dimensional Beam-Columns.- 9 Nonlinear Analysis of Shells.- References.- Appendix 1 Member Stiffness When Beam-Column Effects are Included.- Appendix 2 Determinants.- Appendix 3 The Rotation Matrix.- Appendix 4 Perturbation Methods Applied to Plane Beams.- Appendix 5 Introduction to Computer Programs.- A5.1 Introduction.- A5.2 Space Trusses.- A5.3 Plane Frames.- A5.4 Listing for TR3D.FOR.- A5.5 Listing for FR2D.FOR.- Appendix 6 Graphics on a PC.- A6.1 Introduction.- A6.2 Plotting in 2-D.- A6.3 Drawing Lines in 2-D.Table of ContentsBook Contents.- 1 Overview.- 2 Linear Structural Analysis.- 3 “Exact” Analysis of Trusses.- 4 Nonlinear Analysis of Plane Frames.- 5 Nonlinear Analysis of Space Frames.- 6 Nonlinear Analysis of Membranes.- 7 Cablenets and Fabric Structures.- 8 Three-Dimensional Beam-Columns.- 9 Nonlinear Analysis of Shells.- References.- Appendix 1 Member Stiffness When Beam-Column Effects are Included.- Appendix 2 Determinants.- Appendix 3 The Rotation Matrix.- Appendix 4 Perturbation Methods Applied to Plane Beams.- Appendix 5 Introduction to Computer Programs.- A5.1 Introduction.- A5.2 Space Trusses.- A5.3 Plane Frames.- A5.4 Listing for TR3D.FOR.- A5.5 Listing for FR2D.FOR.- Appendix 6 Graphics on a PC.- A6.1 Introduction.- A6.2 Plotting in 2-D.- A6.3 Drawing Lines in 2-D.

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Book Synopsisto Turbulence in Fluid Mechanics.- Basic Fluid Dynamics.- Transition to Turbulence.- Shear Flow Turbulence.- Fourier Analysis of Homogeneous Turbulence.- Isotropic Turbulence: Phenomenology and Simulations.- Analytical Theories and Stochastic Models.- Two-Dimensional Turbulence.- Beyond Two-Dimensional Turbulence in GFD.- Statistical Thermodynamics of Turbulence.- Statistical Predictability Theory.- Large-Eddy Simulations.- Towards Real World Turbulence.Trade ReviewFrom the reviews of the fourth edition: "Turbulence in Fluids contains a wealth of information, and its author is a top-tier scientist. … The book is logically ordered and contains a comprehensive list of 738 references. … Lesieur’s monograph is recommended for those who already know quite a bit about turbulence, for the theoretically inclined, and in particular for those interested in homogeneous turbulence and geophysical flows and their numerical simulation." (Mohamed Gad-El-Hak, Siam Review, Vol. 51 (1), 2009)Table of Contentsto Turbulence in Fluid Mechanics.- Basic Fluid Dynamics.- Transition to Turbulence.- Shear Flow Turbulence.- Fourier Analysis of Homogeneous Turbulence.- Isotropic Turbulence: Phenomenology and Simulations.- Analytical Theories and Stochastic Models.- Two-Dimensional Turbulence.- Beyond Two-Dimensional Turbulence in GFD.- Statistical Thermodynamics of Turbulence.- Statistical Predictability Theory.- Large-Eddy Simulations.- Towards “Real World Turbulence”.

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Physics of Continuous Matter: Exotic and Everyday Phenomena in the Macroscopic World, Second Edition provides an introduction to the basic ideas of continuum physics and their application to a wealth of macroscopic phenomena. The text focuses on the many approximate methods that offer insight into the rich physics hidden in fundamental continuum mechanics equations. Like its acclaimed predecessor, this second edition introduces mathematical tools on a need-to-know basis.New to the Second EditionThis edition includes three new chapters on elasticity of slender rods, energy, and entropy. It also offers more margin drawings and photographs and improved images of simulations. Along with reorganizing much of the material, the author has revised many of the physics arguments and mathematical presentations to improve clarity and consistency. The collection of problems at the end of each chapter has been expanded as well. These problems

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Book SynopsisThe Compendium of Theoretical Physics contains the canonical curriculum of theoretical physics. From classical mechanics over electrodynamics, quantum mechanics and statistical physics/thermodynamics, all topics are treated axiomatic-deductively and confimed by exercises, solutions and short summaries.Table of ContentsPreface.- List of Applications.- 1.Mechanics: Newtonian Mechanics.- Lagrangian Mechanics.- Hamiltonian Mechanics.- Motion of Rigid Bodies.- Central Forces.- Relativistic Mechanics.- 2. Electrodynamics: Formalism of Electrodynamics.- Solutions of Maxwell’s Equations in the Form of Potentials.- Lorentz Covariant Formulation of Electrodynamics.- Radiation Theory.- Time-Independent Electrodynamics.- Electrodynamics in Matter.- Electromagnetic Waves.- Lagrange Formalism in Electrodynamics.- 3. Quantum Mechanics: Mathematical Foundations of Quantum Mechanics.- Formulation of Quantum Theory.- One-Dimensional Systems.- Quantum Mechanical Angular Momenta.- Schrödinger Equation in Three Dimensions.- Electromagnetic Interactions.- Perturbation Theory and Real Hydrogen Atom.- Atomic Transitions.- N-Particle Systems.- Scattering Theory.- 4. Statistical Physics and Thermodynamics: Foundations of Statistical Physics.- Ensemble Theory I: Microcanonical Ensemble and Entropy.- Ensemble Theory II: Canonical and Grand Canonical Ensemble.- Entropy and Information Theory.- Thermodynamics.- Classical Maxwell-Boltzmann Statistics.- Quantum Statistics.- Appendix A: Mathematical Appendix.- Appendix B: Literature List.- Index

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Book SynopsisFeaturing chapters on physics, structure, sound and design specifics, Technology of the Guitar also includes coverage of historical content, composition of strings and their effects on sound quality, and important designs.Table of Contents1. Guitar Overview.- 2. Basic Physics.- 3. The Structure of the Guitar.- 4. Electronics.- 5. Sound Quality.- 6. Design Specifics for Acoustic Guitars.- 7. Design Specifics for Electric Guitars.- 8. Hardware.- 9. Iconic Guitars.

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Book SynopsisA bestselling textbook in its first three editions, Continuum Mechanics for Engineers, Fourth Edition provides engineering students with a complete, concise, and accessible introduction to advanced engineering mechanics. It provides information that is useful in emerging engineering areas, such as micro-mechanics and biomechanics. Through a mastery of this volume's contents and additional rigorous finite element training, readers will develop the mechanics foundation necessary to skillfully use modern, advanced design tools.Features: Provides a basic, understandable approach to the concepts, mathematics, and engineering applications of continuum mechanics Updated throughout, and adds a new chapter on plasticity Features an expanded coverage of fluids Includes numerous all new end-of-chapter problems With an abundance of worked examples and chapter problems, it cTable of ContentsContinuum Theory. Essential Mathematics. Stress Principles. Kinematics of Deformation and Motion. Fundamental Laws and Equations. Linear Elasticity. Classical Fluids. Nonlinear Elasticity. Linear Viscoelasticity. Plasticity. Appendix A: General Tensors. Appendix B: Viscoelastic Creep and Relaxation. Index.

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Book SynopsisGroup Theoretical Foundations of Quantum Mechanics

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Book SynopsisFinite Element Analysis Using SOLIDWORKS Simulation 2017 introduces the aspects of Finite Element Analysis (FEA) most important to engineers and designers. Theoretical aspects of FEA are introduced to build a better understanding the operation, while the main focus of the text is on conveying the practical concepts and procedures needed to use SOLIDWORKS Simulation in performing Linear Static Stress Analysis and basic Modal Analysis. This text covers SOLIDWORKS Simulation, with lessons that guide readers from constructing basic truss elements to generating three-dimensional solid elements from solid models. This text takes a hands-on, exercise-intensive approach to all the important FEA techniques and concepts.

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Book Synopsis

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Book Synopsis

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