Physics: Fluid mechanics Books

Book SynopsisThis textbook is a pedagogic introduction to a number of phenomena employing fluid mechanics. Beginning with basic concepts and conservation laws for neutral and charged fluids, the authors apply and develop them to understand aerodynamics, locomotion of micro-organisms, waves in air and water, shock waves, hydrodynamic and hydromagnetic instabilities, stars and black holes, blood flow in humans, and superfluids. The approach is to consider various striking topics on fluid mechanics, without losing necessary mathematical rigor. The book balances the qualitative explanations with formal treatment, in a compact manner. A special focus is given to the important and difficult subject of turbulence and the book ends with a discussion on turbulence in quantum fluids. The textbook is dotted by a number of illustrative examples, mostly from real life, and exercises. The textbook is designed for a one semester course and addresses students at undergraduate and graduate level in physics or engineering, who want to research in the fields as diverse as aeronautics, meteorology, cosmology, biomechanics, and mathematical physics. It is requested knowledge of an undergraduate level course on mathematical methods to better understand the topics presented here.Table of Contents

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Book SynopsisAdvances in Flowmeter Technology surveys the full range of modern flowmeters for product managers, strategic planners, engineers, distributors, and students. The origins, principles of operation,controls and instrumentation, and the relative advantages of each major flowmeter type are thoroughly explained. Extensive coverage of new types that employ cutting-edge technologies - such as coriolis, magnetic, ultrasonic, vortex, thermal flowmeters - is provided. The text includes comparative examples, placing these new types of meters in the context of more traditional ones, such as differential pressure, turbine, and positive displacement flowmeters.

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Book SynopsisNewly updated and translated into English for the first time, this standalone handbook perfectly combines background and theory with real-world experiments. An ideal companion for graduate students and researchers, as well as engineers involved in design of offshore systems.Table of Contents1. Introduction; 2. Environmental conditions; 3. Wave theories; 4. Wave and current loads on slender bodies; 5. Flow-induced instabilities; 6. Large bodies. Linear theory; 7. Large bodies. Second-order effects; 8. Large bodies. Other nonlinear effects; 9. Model testing; Appendix A. Introduction to potential flow theory; Appendix B. Hydrostatics; Appendix C. Damped mass spring system; Appendix D. The boundary integral equation method.

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Book SynopsisA cell, whose spatial extent is small compared with a surrounding flow, can develop inside a vortex. Such cells, often referred to as vortex breakdown bubbles, provide stable and clean flame in combustion chambers; they also reduce the lift force of delta wings. This book analyzes cells in slow and fast, one- and two-fluid flows and describes the mechanisms of cell generation: (a) minimal energy dissipation, (b) competing forces, (c) jet entrainment, and (d) swirl decay. The book explains the vortex breakdown appearance, discusses its features, and indicates means of its control. Written in acceptable, non-math-heavy format, it stands to be a useful learning tool for engineers working with combustion chambers, chemical and biological reactors, and delta-wing designs.Table of Contents1. Introduction; 2. Creeping eddies; 3. Two-fluid creeping flows; 4. Formation of cells in thermal convection; 5. Swirl decay mechanisms; 6. Vortex breakdown in a sealed cylinder; 7. Cellular whirlpool flow; 8. Cellular water-spout flow; 9. Cellular flows in vortex devices.

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Book SynopsisBased on class-tested material, this concise yet comprehensive treatment of the fundamentals of solid mechanics is ideal for those taking single-semester courses on the subject. It provides interdisciplinary coverage of the key topics, combining solid mechanics with structural design applications, mechanical behavior of materials, and the finite element method. Part I covers basic theory, including the analysis of stress and strain, Hooke''s law, and the formulation of boundary-value problems in Cartesian and cylindrical coordinates. Part II covers applications, from solving boundary-value problems, to energy methods and failure criteria, two-dimensional plane stress and strain problems, antiplane shear, contact problems, and much more. With a wealth of solved examples, assigned exercises, and 130 homework problems, and a solutions manual available online, this is ideal for senior undergraduates studying solid mechanics, and graduates taking introductory courses in solid mechanics and Trade Review'The Lubardas, a father-son duo, deliver a unique and well-balanced textbook on solid mechanics. The material is presented at the intermediate level, and is tested by many years of well-received classroom instruction by both authors in their respective institutions. The authors take the reader from basic concepts of traction, stress, and strain, to boundary-value problems in elasticity, and finish with more advanced topics, such as contact, variational principles, and failure criteria. The book is well suited for advanced undergraduate students as a course textbook, as well as for first- and second-year graduate students as a reference for more advanced courses in solid mechanics. The book strikes an excellent balance between theory and application examples, and presents a perfect jumping-off point to study more advanced topics in solid mechanics, such as damage, plasticity, fracture, and advanced numerical approaches such as the Finite Element Method.' Yuri Bazilevs, Brown University'A very useful and accessible introduction to solid mechanics. The book contains many illustrations and a broad range of applications, which make it a reading pleasure with many insights.' Horacio Espinosa, Northwestern University'A remarkable text covering a vast range of topics and problems in solid mechanics, this unique work provides clear and thorough coverage suitable for beginning students, advanced students and practitioners. The treatment starts with basic concepts concerning deformation, stress and equilibrium, progresses to elementary and intermediate strength of materials, moves on to advanced topics in elasticity including fracture and the stress and deformation fields around dislocations, and from there to three-dimensional problems including a lucid treatment of the all-important Hertzian contact problem. This major work includes a comprehensive discussion of material failure criteria and culminates in a thorough treatment of energy methods underlying modern finite-element analysis. The work reflects the singular devotion of its authors to all aspects of solid mechanics.' David Steigmann, University of California, Berkeley'This is a well-written, balanced textbook on solid mechanics, aimed at advanced undergraduate or first-year graduate-student audiences in applied mechanics or mechanical engineering.' J. Lambropoulos, ChoiceTable of ContentsPreface; Part I. Fundamentals of Solid Mechanics: 1. Analysis of stress; 2. Analysis of strain; 3. Stress-strain relations; 4. Boundary value problems of elasticity; 5. Boundary-value problems: cylindrical coordinates; Part II. Applications: 6. Two-dimensional problems of elasticity; 7. Two-dimensional problems in polar coordinates; 8. Antiplane shear; 9. Torsion of prismatic rods; 10. Bending of prismatic beams; 11. Contact problems; 12. Energy methods; 13. Failure criteria; References; Index.

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Book SynopsisThis is a graduate text on turbulent flows, an important topic in fluid dynamics. It is up-to-date, comprehensive, designed for teaching, and is based on a course taught by the author at Cornell University for a number of years. The book consists of two parts followed by a number of appendices. Part I provides a general introduction to turbulent flows, how they behave, how they can be described quantitatively, and the fundamental physical processes involved. Part II is concerned with different approaches for modelling or simulating turbulent flows. The necessary mathematical techniques are presented in the appendices. This book is primarily intended as a graduate level text in turbulent flows for engineering students, but it may also be valuable to students in applied mathematics, physics, oceanography and atmospheric sciences, as well as researchers and practising engineers.Trade Review'Probably the most popular text in turbulent fluid mechanics for the past thirty years has been Tennekes and Lumley. Now Lumley's colleague Pope has produced a much more complete work and one that is up to date. Designed as a graduate text, it is a massive work that covers most of what an engineer needs to know about the subject … there is no book that provides as broad coverage as this one and yet provides reasonable depth … There are also problems interspersed throughout the book. They make this an excellent textbook that can be heartily recommended to anyone teaching a course in this subject. it is the best book on the market today that covers the entire field and should be adopted for courses, especially since the paperback edition is priced quite reasonably for the size on the book.' Joel H. Ferziger, International Journal of Mutliphase Flows'The deficiency for students of engineering and applied science is the dearth of material on turbulence modeling. Pope has remedied that situation by adjoining a survey of ideas on closure modeling to an introduction to turbulence theory ... This book is a welcome addition to the literature on turbulence. It will serve well as a textbook.' Journal of Fluid Mechanics'… excellent and readable treatment of fundamentals … The lucid and up-to-date discussion - which will appeal to researchers and engineers alike - is a bonus.' Peter Lindstedt, New Scientist'… the text can be classified as one of the pearls in the field.' Applied Mechanical Review'The engineering student who diligently follows and works through the book should acquire a substantial degree of competence in understanding the behaviour and fundamental physical processes involved in turbulent flows and getting familiar with the various approaches for modelling or stimulating turbulent flows. It shall be valued greatly by students in applied mathematics, physics, oceanography, and atmospheric sciences, as well as researchers, and practicing engineers. Acquainting oneself with this book should be a thoroughly enjoyable and enriching experience. Indeed a welcome and distinct addition to the literature on turbulence. It will serve well as an impressive textbook admirably making up for the dearth of material on turbulence modelling.' Current Engineering Practice'This is a graduate-level textbook based on a graduate course, and it will be useful for that purpose … what it does it does well. One hopes it will be widely read.' The Times Higher Education Supplement'… comprehensive textbook … suitable to engineering students at graduate level … this well-organized and clearly written book can be highly recommended to students and researchers with an interest in turbulence, and to all teaching the subject.' Oleg Titow, Zentralblatt MATH'It was a pleasure to read this important book … exceptionally clear presentation, together with an often penetrating critique of both classical methods and recent developments in the theory and modelling of turbulent flows … I strongly recommend this book to advanced students of fluid mechanics, to their teachers and to all researchers, engineers and others with a professional interest in turbulent flows.' K. N. C. Bray, Measurement, Science & TechnologyTable of ContentsPreface; Nomenclature; Part I. Fundamentals: 1. Introduction; 2. The equations of fluid motion; 3. Statistical description of turbulence; 4. Mean flow equations; 5. Free shear flows; 6. The scales of turbulent motion; 7. Wall flows; Part II. Modelling and Simulation: 8. Modelling and simulation; 9. Direct numerical simulation; 10. Turbulent viscosity models; 11. Reynolds-stress and related models; 12. PDF models; 13. Large-eddy simulation; Part III. Appendices; Bibliography.

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Book SynopsisThis textbook presents the basic methods, numerical schemes, and algorithms of computational fluid dynamics (CFD). Readers will learn to compose MATLAB programs to solve realistic fluid flow problems.Newer research results on the stability and boundedness of various numerical schemes are incorporated. The book emphasizes large eddy simulation (LES) in the chapter on turbulent flow simulation besides the two-equation models. Volume of fraction (VOF) and level-set methods are the focus of the chapter on two-phase flows.The textbook was written for a first course in computational fluid dynamics (CFD) taken by undergraduate students in a Mechanical Engineering major.Access the Support Materials: https://www.routledge.com/9780367687298.Table of ContentsChapter 1 Essence of Fluid Dynamics Chapter 2 Finite Difference and Finite Volume Methods Chapter 3 Numerical Schemes Chapter 4 Numerical Algorithms Chapter 5 Navier–Stokes Solution Methods Chapter 6 Unstructured Mesh Chapter 7 Multiphase Flow Chapter 8 Turbulent Flow

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Book SynopsisThis new edition is a comprehensive update of Introduction to Microfluidics, showing the fundamentals of the technology, providing concepts and methods for understanding, designing and microfabricating microfluidics devices.Trade ReviewA unique book, combining an unusually broad view of the field with a solid understanding of science and engineering fundamentals. There has been an explosion in the number and type of applications, and the additions and re-written portions add a lot of value. * Howard Stone, Princeton University *Table of Contents1: Introduction 2: Physics at the microscale 3: Hydrodynamics of microuidics 1: channels 4: Hydrodynamics of microuidics 2: droplets 5: Transport in microuidics 6: Electrokinetics 7: An introduction to microfabrication Index

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Book SynopsisThis book provides a practical guide to molecular dynamics and Monte Carlo simulation techniques used in the modelling of simple and complex liquids. Computer simulation is an essential tool in studying the chemistry and physics of condensed matter, complementing and reinforcing both experiment and theory. Simulations provide detailed information about structure and dynamics, essential to understand the many fluid systems that play a key role in our daily lives: polymers, gels, colloidal suspensions, liquid crystals, biological membranes, and glasses. The second edition of this pioneering book aims to explain how simulation programs work, how to use them, and how to interpret the results, with examples of the latest research in this rapidly evolving field. Accompanying programs in Fortran and Python provide practical, hands-on, illustrations of the ideas in the text.Trade ReviewThis new edition is a welcome update and has kept the strengths of the first edition and been thoroughly refreshed and expanded for the modern age. Whilst there is now much more competition for a textbook such as this, the new edition stands head-and-shoulders above the others and is therefore strongly recommended. * Matt Probert, Contemporary Physics *Table of Contents1: Introduction 2: Statistical mechanics 3: Molecular dynamics 4: Monte Carlo methods 5: Some tricks of the trade 6: Long-range forces 7: Parallel simulation 8: How to analyse the results 9: Advanced Monte Carlo methods 10: Rare event simulation 11: Nonequilibrium molecular dynamics 12: Mesoscale methods 13: Quantum simulations 14: Inhomogeneous fluids App. A Computers and computer simulation App. B Reduced units App. C Calculation of forces and torques App. D Fourier transforms and series App. E Random numbers App. F Configurational temperature

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Book SynopsisTable of Contents1. Introduction 2. Rocket Engine Fundamentals 3. Nuclear Rocket Engine Cycles 4. Interplanetary Mission Analysis 5. Basic Nuclear Structure and Processes 6. Neutron Flux Energy Distribution 7. Neutron Balance Equation and Transport Theory 8. Multigroup Neutron Diffusion Equations 9. Thermal Fluid Aspects of Nuclear Rockets 10. Turbomachinery 11. Nuclear Reactor Kinetics 12. Nuclear Rocket Stability 13. Fuel Burnup and Transmutation 14. Radiation Shielding of Nuclear Rockets 15. Materials for Nuclear Thermal Rockets 16. Nuclear Rocket Engine Testing 17. Safety Considerations for Nuclear Rocket Engines 18. Advanced Nuclear Rocket Concepts Appendix I. Table of Physical Constants II. Thermodynamic Properties of Several Gases III. Selected Data from NERVA Tests

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Book SynopsisThe Affordable Housing Reader brings together classic works and contemporary writing on the themes and debates that have animated the field of affordable housing policy as well as the challenges in achieving the goals of policy on the ground. The Reader  aimed at professors, students, and researchers  provides an overview of the literature on housing policy and planning that is both comprehensive and interdisciplinary. It is particularly suited for graduate and undergraduate courses on housing policy offered to students of public policy and city planning.

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Book SynopsisA good working knowledge of fluid mechanics and plasma physics is essential for the modern astrophysicist. This graduate textbook provides a clear, pedagogical introduction to these core subjects. Assuming an undergraduate background in physics, this book develops fluid mechanics and plasma physics from first principles. This book is unique because it presents neutral fluids and plasmas in a unified scheme, clearly indicating both their similarities and their differences. Also, both the macroscopic (continuum) and microscopic (particle) theories are developed, establishing the connections between them. Throughout, key examples from astrophysics are used, though no previous knowledge of astronomy is assumed. Exercises are included at the end of chapters to test the reader's understanding. This textbook is aimed primarily at astrophysics graduate students. It will also be of interest to advanced students in physics and applied mathematics seeking a unified view of fluid mechanics and plaTrade Review'I'd not hesitate to recommend [this] book to anybody with an interest in fluids or plasmas … superbly written … [an] original textbook which should quickly become a bestseller.' Uriel Frisch, CNRS, Observatoire de Nice'[This] book provides a comprehensive introduction both to fluid dynamics and to plasma physics, with many astrophysical examples. Here at last is an excellent textbook for a theoretical course, at graduate level, in plasma astrophysics.' Nigel O. Weiss, FRS, University of Cambridge'The text is unique in combining the essential formal calculations with the simple physical concepts to give the reader an intuitive grasp of the dynamical phenomena of the active astonomical universe … The new student, as well as the experienced research worker, will find this textbook useful and instructive.' Eugene Parker, University of Chicago'… it is rare to find a textbook that is such a pleasure to read.' S. M. Tobias, Journal of Fluid Mechanics'This is a delightful book, largely because of the author's evident enthusiasm for the subject. It is a pleasure to find such potentially messy subjects as plasma physics and hydrodynamics presented as a unified whole with the grand themes well brought out. The text is strong on physical insight and clarity of exposition … this is an excellent book … A copy should be available on the bookshelves of every astrophysics research group.' A. R. Bell, Blackett Laboratory, Imperial College'This is an excellent book. The author has that rare gift of being able to make a complex subject seem not only straightforward but also fascinating … an absolute bargain at the price.' Moira Jardine, The Observatory'I enjoyed reading this book, and found the author's viewpoints fresh and interesting. He manages to entertain the reader and succeeds in conveying the essentials of the subject simultaneously. It is a rare textbook that is as well written and presented as this.' Current Science'The book is well written, covering quite a large number of topics in a clear and pleasant style which makes enjoyable reading … The student who reads this book will successfully gain a very good understanding of many, often referred to, astrophysical topics.' R. M. Kulsrud, Nuclear FusionTable of ContentsIntroduction; Part I. Neutral Fluids: 2. Boltzmann equation; 3. March towards hydrodynamics; 4. Properties of ideal fluids; 5. Viscous flows; 6. Gas dynamics; 7. Linear theory of waves and instabilities; 8. Turbulence; 9. Rotation and hydrodynamics; Part II. Plasmas: 10. Plasma orbit theory; 11. Dynamics of many charged particles; 12. Collisionless processes in plasmas; 13. Collisional processes and the one-fluid model; 14. Basic magnetohydrodynamics; 15. Theory of magnetic topologies; 16. Dynamo theory; Appendices: A. Useful vector relations; B. Integrals in kinetic theory; C. Formulae and equations in cylindrical and spherical coordinates; D. Values of various quantities; E. Basic parameters pertaining to plasmas; Suggestions for further reading; References.

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Book SynopsisFirst published in 1967, Professor Batchelor's classic text on fluid dynamics is still one of the foremost texts in the subject. The careful presentation of the underlying theories of fluids is still timely and applicable. This re-issue should ensure that a new generation of graduate students see the elegance of Professor Batchelor's presentation.Trade Review'This book gives an excellent introduction to fluid dynamics … many interesting and important photographs of fluid flows are included in order to help the students who do not have an opportunity of observing flow phenomena in a laboratory. The book also contains exercises at the end of each chapter. In comparison with many currently available books, I find this book by Batchelor especially stimulating and useful for students of applied mathematics and engineering.' L. Debnath, Zentralblatt MATH' … a must-read for a proper understanding of the subject …' ResonanceTable of ContentsPreface; Conventions and notation; 1. The physical properties of fluids; 2. Kinematics of the flow field; 3. Equations governing the motion of a fluid; 4. Flow of a uniform incompressible viscous fluid; 5. Flow at large Reynolds number: effects of viscosity; 6. Irrotational flow theory and its applications; 7. Flow of effectively inviscid liquid with vorticity; Appendices.

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Book SynopsisNotable advances of the last quarter-century have deepened our appreciation of the three-dimensional nature of the ocean''s large-scale circulation. This circulation has important implications for ocean chemistry and biology, atmospheric science, and climate. Ocean Circulation in Three Dimensions surveys both observations and theories of the time-mean circulation, enabling readers to see the relevance and limitations of leading theories, as well as the patterns linking the behavior of different oceans. The book covers classical topics of horizontal circulation, and expands them to include shallow wind-driven overturning, the deep global conveyer belt, high latitudes, the role of eddies, and the ocean''s role in heat transport. Solutions to exercises are available online for instructor use. This textbook is ideal for students of physical oceanography, chemical oceanography and climate. It is also suitable for readers from related fields as it includes a summary of introductory topics.Table of Contents1. Physical oceanography: methods and dynamical framework; 2. Rotating and shallow water flow; 3. Two-dimensional horizontal circulation; 4. Surface and mixed layer properties; 5. Depth-dependent gyre circulation; 6. Equatorial circulation, shallow overturning, and up-welling; 7. Eddies and small scale mixing; 8. Deep meridional overturning; 9. The Southern Ocean nexus; 10. Arctic circulation; 11. Heat flux, freshwater flux, and climate; Appendix A. Data sources; Appendix B. Vector calculus and spherical coordinates; Appendix C. Tables of notation and useful values; References; Index.

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Lagrangian Analysis and Prediction of Coastal and | BookCurl

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Book SynopsisHypersonic turbulent boundary layers are a fundamental phenomenon in high-speed flight. The interaction of shock waves with hypersonic turbulent boundary layers has a critical impact on vehicle aerothermodynamic loading including surface heat transfer, pressure and skin friction. This book provides a comprehensive exposition of hypersonic turbulent boundary layers, including the fundamental mathematical theory, structure of equilibrium boundary layers, and extensive surveys of Direct Numerical Simulation (DNS), Large Eddy Simulation (LES) and experiments. It also provides a roadmap for both future experiments and DNS and LES simulations. Descriptions of hypersonic ground test facilities is included as an appendix. As a research and reference text, this book would appeal to graduate students and researchers in hypersonics and could be the basis for professional training courses.Key FeaturesProvides a summary of the state-of-th

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Book SynopsisTransport barriers are observed inhibitors of the spread of substances in flows. The collection of such barriers offers a powerful geometric template that frames the main pathways, or lack thereof, in any transport process. This book surveys effective and mathematically grounded methods for defining, locating and leveraging transport barriers in numerical simulations, laboratory experiments, technological processes and nature. It provides a unified treatment of material developed over the past two decades, focusing on the methods that have a solid foundation and broad applicability to data sets beyond simple model flows. The intended audience ranges from advanced undergraduates to researchers in the areas of turbulence, geophysical flows, aerodynamics, chemical engineering, environmental engineering, flow visualization, computational mathematics and dynamical systems. Detailed open-source implementations of the numerical methods are provided in an accompanying collection of Jupyter notTrade Review'This is a must read for anyone interested in data-driven fluid mechanics. Coherent structures are central to how we understand fluids, and Haller has been a pioneer in this field for decades. This book covers an exciting range of topics from introductory to advanced material, complete with beautiful graphics and illustrations.' Steven L. Brunton, University of Washington'George Haller has written a clear, well-illustrated text that step-by-step explains the mathematics needed to understand and quantify fluid motions that cause mixing and describes and identifies the corresponding transport barriers to mixing processes. The ideas are introduced in a systematic way, with examples that highlight analytical features, software available via github, and interpretations to help the reader build intuition for the mathematical concepts and their application to physical processes.' Howard A. Stone, Princeton University'Dynamical systems theory was developed in the 1980s, but for fluid dynamics has not played the prominent role it deserves. The present insightful and well-written book `Transport Barriers and Coherent Structure in Flow Data' by George Haller now bridges this gap between modern fluid dynamics and dynamical systems theory. It is based on mathematically grounded and solid methods, which are then applied to fluid dynamical problems and data sets. It also includes the usage of modern data-driven methods. The book is complemented by clickable links to a library of numerical implementations of transport barrier detection methods. It is a wonderful textbook for Turbulence and Advanced Fluid Mechanics classes for students in Applied Mathematics, Physics, and Mechanical and Chemical Engineering alike and unmissable for scientists working at the interface between dynamical systems theory and fluid dynamics.' Detlef Lohse, University of TwenteTable of Contents1. Introduction; 2. Eulerian and Lagrangian fundamentals; 3. Objectivity of transport barriers; 4. Barriers to chaotic advection; 5. Lagrangian and objective Eulerian coherent structures; 6. Flow separation and attachment surfaces as transport barriers; 7. Inertial LCSs: Transport barriers in finite-size particle motion; 8. Passive barriers to diffusive and stochastic transport; 9. Dynamically active barriers to transport; Appendix; References; Index.

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Book SynopsisThis text focuses on the physics of fluid transport in micro- and nanofabricated liquid-phase systems, with consideration of gas bubbles, solid particles, and macromolecules. This text was designed with the goal of bringing together several areas that are often taught separately - namely, fluid mechanics, electrodynamics, and interfacial chemistry and electrochemistry - with a focused goal of preparing the modern microfluidics researcher to analyse and model continuum fluid mechanical systems encountered when working with micro- and nanofabricated devices. This text serves as a useful reference for practising researchers but is designed primarily for classroom instruction. Worked sample problems are included throughout to assist the student, and exercises at the end of each chapter help facilitate class learning.Table of Contents1. Kinematics, conservation equations, and boundary conditions for incompressible flow; 2. Unidirectional flow; 3. Hydraulic circuit analysis; 4. Passive scalar transport: dispersion, patterning, and mixing; 5. Electrostatics and electrodynamics; 6. Electroosmosis; 7. Potential fluid flow; 8. Stikes flow; 9. The diffuse structure of the electrical double layer; 10. Zeta potential in microchannels; 11. Species and charge transport; 12. Microchip chemical separations; 13. Particle electrophoresis; 14. DNA transport and analysis; 15. Nanofluidics: fluid and current flow in molecular-scale and thick-double-layer systems; 16. AC electrokinetics and the dynamics of diffuse charge; 17. Particle and droplet actuation: dielectrophoresis, magnetophoresis, and digital microfluidics; Appendices: A. Units and fundamental constants; B. Properties of electrolyte solutions; C. Coordinate systems and vector calculus; D. Governing equation reference; E. Nondimensionalization and characteristic parameters; F. Multipolar solutions to the Laplace and Stokes equations; G. Complex functions; H. Interaction potentials: atomistic modeling of solvents and solutes.

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Book SynopsisThis comprehensive textbook, first published in 2007, introduces the necessary fluid dynamics to understand a wide range of astronomical phenomena. The authors introduce the fundamental equations, supplemented by explanatory text, and emphasise the observable phenomena that rely on these processes. It will be used by final-year undergraduate and starting graduate students of astrophysics.Table of Contents1. Introduction to concepts; 2. The fluid equations; 3. Gravitation; 4. The energy equation; 5. Hydrostatic equilibrium; 6. Propagation of sound waves; 7. Supersonic flows; 8. Blast waves; 9. Bernoulli's equation; 10. Fluid instabilities; 11. Viscous flows; 12. Accretion disks in astrophysics; 13. Plasmas; Appendix 1. Equations in curvilinear coordinates; Appendix 2. Exercises; Bibliography; Index.

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Book SynopsisThis book is a guide to computing bifurcation diagrams for fluid flows, including relevant code and numerical techniques to identify fluid flow instabilities. It is a must-have reference for anyone working in fields where fluid flow instabilities play a role, and has broad applicability to industrial, environmental, and astrophysical flows.Table of Contents1. Transitions in Fluid Flows; 2. Dynamical systems background; 3. Well-posed problems; 4. Discretization of PDEs; 5. Numerical bifurcation analysis; 6. Matrix-based techniques; 7. Stationary iterative methods; 8. Non-stationary iterative methods; 9. Matrix free techniques; 10; Benchmark results for canonical problems; Appendix A: Proofs related to Chapter 3; Appendix B: Relevant Linear Algebra; Appendix C: Proof of inf-sup condition for Stokes; References; Index.

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Book SynopsisWritten in the learner's point of view, this book focuses on understanding the principle of flow. Beneficial to both the beginners in this field as well as experts in other fields. Ideal for college students, graduate students, engineers, and technicians who may all find the book informative and attractive.Table of Contents1. Fluids and fluid mechanics; 2. Forces in a static fluid; 3. Description of fluid motion; 4. Basic equations of fluid dynamics; 5. Inviscid flow and potential flow method; 6. Viscous shear flow; 7. Fundamentals of compressible flow; 8. Similarity and dimensional analysis; 9. Analysis of some flow phenomena.

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Book SynopsisAn invaluable reference for graduate students and academic researchers, this book introduces the basic terminology, methods and theory of the physics of flow in porous media. Geometric concepts, such as percolation and fractals, are explained and simple simulations are created, providing readers with both the knowledge and the analytical tools to deal with real experiments. It covers the basic hydrodynamics of porous media and how complexity emerges from it, as well as establishing key connections between hydrodynamics and statistical physics. Covering current concepts and their uses, this book is of interest to applied physicists and computational/theoretical Earth scientists and engineers seeking a rigorous theoretical treatment of this topic. Physics of Flow in Porous Media fills a gap in the literature by providing a physics-based approach to a field that is mostly dominated by engineering approaches.Table of Contents1 Introduction; 2. Geometry of Porous Media; 3. Fractals; 4. Percolation; 5. Laminar Flow in Channels and Tubes; 6. The Hydrodynamic Equations; 7. The Darcey Law; 8. Dispersion; 9. Capillary Action; 10. The Hele-Shaw Cell and Linear Stability Analysis; 11. Displacement Patterns in Porous Media; 12. Continuum Descriptions of Multi-phase Flow; 13. Particle Stimulations of Multiphase Flows; Appendix A; References; Index.

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Book SynopsisThis book describes and explains the basis of bio-inspired, leading-edge tubercles based on humpback whale flippers as passive but effective flow control devices, as well as providing a comprehensive practical guide in their applications. It first discusses the morphology of the humpback whale flipper from a biological perspective, before presenting detailed experimental and numerical findings from past investigations by various experts on the benefits of leading-edge tubercles and their engineering implementations.Leading-edge tubercle designs and functions have attracted considerable interest from researchers in terms of understanding their role in the underwater agility of these whales, and to exploit their flow dynamics in the development of new and novel engineering solutions. Extensive research over the past recent years has demonstrated that the maneuverability of these whales is at least in part due to the leading-edge tubercles acting as passive flow control devices to delay stall and increase lift in the post-stall regime. In addition to the inherent benefits in terms of aerodynamics and hydrodynamics, investigations into leading-edge tubercles have also broadened into areas of noise attenuation, stability and industrial applications.This book touches upon these areas, with an emphasis upon the effects of lifting-surface types, flow regimes, tubercle geometries, lifting-surface stability and potential industrial applications, among others. As such, it features contributions from key experts in the fields of biology, physics and engineering who have conducted significant studies into understanding the various aspects of leading-edge tubercles. Given the broad coverage and in-depth analysis, this book will benefit academic researchers, practicing engineers and graduate students interested in tapping into such a unique but highly functional flow control strategy.Table of ContentsOpportunities from Nature.- Perspectives and Applications.- Experimental Aerodynamics.- Geometry Optimization.- Flow Control on Hydrofoils.- Spanwise Flow.- Noise Attenuation.- Dynamic Effects.- Aeroelasticity. ​

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Book SynopsisThe second edition of this comprehensive guide to modern airship design and operation, written by world experts, is the only up-to-date book on airship technology. This new edition introduces nine new chapters and includes significant revisions and updates to five of the original chapters.Trade Review'Airship Technology offers a remarkable quantity and quality. For any student or practising engineer in the airship business this constitutes very worthwhile reading as a welcome modern addition to the field.' Martyn Pressnell, AerospaceTable of Contents1. Introduction Gabriel Alexander Khoury; 2. Basic principles Edwin Mowforth; 3. Aerodynamics Ian Cheeseman; 4. Stability and control Michael V. Cook; 5. Propulsion Ian Cheeseman; 6. Materials S. Islam and Peter Bradley; 7. Structures Charles Luffman; 8. Aerostatics John Craig; 9. Weight estimates and control John Craig; 10. Systems Norman Mayer; 11. Mooring Denis Howe; 12. Ground handling G. Camplin; 13. Meteorology Martin Harris; 14. Piloting David Burns; 15. Performance Robert Hunt; 16. Improvements Edwin Mowforth; 17. Design synthesis B. G. Wilson; 18. Roles and economic considerations Reginald Hillsdon; 19. Unconventional designs Gabriel Alexander Khoury; 20. Solar power Gabriel Alexander Khoury; 21. Zeppelin NT design B. Straeter; 22. Unmanned airships L. Eversfield; 23. Hot-air airships Karl Ludwig Busemeyer; 24. Human powered airships R. Knotts; 25. Heavy lift airships Gabriel Alexander Khoury, Edwin Mowforth and I. Shaefer; 26. Aerodynamic aspects of hybrid air vehicles Ken Nipress.

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Book SynopsisTable of Contents1 INTRODUCTION Learning Objectives 1.1 Characteristics of Fluids 1.2 Dimensions, Dimensional Homogeneity, and Units 1.3 Analysis of Fluid Behavior 1.4 Measures of Fluid Mass and Weight 1.5 Ideal Gas Law 1.6 Viscosity 1.7 Compressibility of Fluids 1.8 Vapor Pressure 1.9 Surface Tension 1.10 A Brief Look Back in History CHAPTER SUMMARY AND STUDY GUIDE KEY EQUATIONS REFERENCES PROBLEMS 2 FLUID STATICS Learning Objectives 2.1 Pressure at a Point 2.2 Basic Equation for Pressure Field 2.3 Pressure Variation in a Fluid at Rest 2.4 Standard Atmosphere 2.5 Measurement of Pressure 2.6 Manometry 2.7 Mechanical and Electronic Pressure Measuring Devices 2.8 Hydrostatic Force on a Plane Surface and Pressure Diagram 2.9 Hydrostatic Force on a Curved Surface 2.10 Buoyancy, Flotation, and Stability 2.11 Pressure Variation in a Fluid with Rigid Body Motion 2.12 Equilibrium of moving fluids (Special case of Fluid Statics CHAPTER SUMMARY AND STUDY GUIDE KEY EQUATIONS REFERENCES PROBLEMS 3 FLUID KINEMATICS Learning Objectives 3.1 The Velocity Field 3.2 The Acceleration Field 3.3 Control Volume and System Representations 3.4 The Reynolds Transport Theorem CHAPTER SUMMARY AND STUDY GUIDE KEY EQUATIONS REFERENCES PROBLEMS 4 ELEMENTARY FLUID DYNAMICS--THE BERNOULLI EQUATION Learning Objectives 4.1 Newton’s Second Law 4.2 F = ma along a Streamline 4.3 F = ma Normal to a Streamline 4.4 Physical Interpretations and Alternate Forms of the Bernoulli Equation 4.5 Static, Stagnation, Dynamic, and Total Pressure 4.6 Applications of Bernoulli Equation 4.7 The Energy Line and the Hydraulic Grade Line 4.8 Restrictions on Use of the Bernoulli Equation CHAPTER SUMMARY AND STUDY GUIDE KEY EQUATIONS REFERENCES PROBLEMS 5 FINITE CONTROL VOLUME ANALYSIS Learning Objectives 5.1 Conservation of Mass--The Continuity Equation 5.2 Newton’s Second Law--The Linear Momentum and Moment of Momentum Equations 5.3 First Law of Thermodynamics--The Energy Equation CHAPTER SUMMARY AND STUDY GUIDE KEY EQUATIONS REFERENCES PROBLEMS 6 DIFFERENTIAL ANALYSIS OF FLUID FLOW Learning Objectives 6.1 Fluid Element Kinematics 6.2 Conservation of Mass 6.3 The Linear Momentum Equation 6.4 Inviscid Flow 6.5 Some Basic, Plane Potential Flows 6.6 Superposition of Basic, Plane Potential Flows 6.7 Other Aspects of Potential Flow 6.8 Viscous Flow 6.9 Some Simple Solutions for Laminar, Viscous, Incompressible Flows 6.10 Other Aspects of Differential Analysis CHAPTER SUMMARY AND STUDY GUIDE KEY EQUATIONS REFERENCES PROBLEMS 7. DIMENSIONAL ANALYSIS AND MODEL SIMILITUDE Learning Objectives 7.1 The Need for Dimensional Analysis 7.2 Buckingham Pi Theorem 7.3 Determination of Pi Terms 7.4 Some Directions about Dimensional Analysis 7.5 Determination of Pi Terms by Inspection 7.6 Common Dimensionless Groups in Fluid Mechanics 7.7 Correlation of Experimental Data 7.8 Modeling and Similitude 7.9 Typical Model Studies CHAPTER SUMMARY AND STUDY GUIDE KEY EQUATIONS REFERENCES PROBLEMS 8 VISCOUS FLOW IN PIPES Learning Objectives 8.1 General Characteristics of Pipe Flow 8.2 Fully Developed Laminar Flow 8.3 Fully Developed Turbulent Flow 8.4 Pipe Flow Losses via Dimensional Analysis 8.5 Pipe Flow Examples 8.6 Pipe Flowrate Measurement CHAPTER SUMMARY AND STUDY GUIDE KEY EQUATIONS REFERENCES PROBLEMS 9 FLOW OVER IMMERSED BODIES Learning Objectives 9.1 General External Flow Characteristics 9.2 Drag 9.3 Lift 9.4 Boundary Layer Characteristics CHAPTER SUMMARY AND STUDY GUIDE KEY EQUATIONS REFERENCES PROBLEMS 10 OPEN CHANNEL FLOW Learning Objectives 10.1 General Characteristics of Open Channel Flow 10.2 Surface Waves 10.3 Energy Considerations 10.4 Uniform Flow 10.5 Most Efficient Channel Section 10.6 Gradually Varied Flow 10.7 Rapidly Varied Flow CHAPTER SUMMARY AND STUDY GUIDE KEY EQUATIONS REFERENCES PROBLEMS 11 COMPRESSIBLE FLOW Learning Objectives 11.1 Ideal Gas Thermodynamics 11.2 Stagnation Properties 11.3 Mach Number and Speed of Sound 11.4 Compressible Flow Regimes 11.5 Shock Waves 11.6 Isentropic Flow 11.7 One Dimensional Flow in a Variable Area Duct 11.8 Constant Area Duct Flow with Friction 11.9 Frictionless Flow in a Constant Area Duct with Heating or Cooling 11.10 Analogy Between Compressible and Open Channel Flows 11.11 Two Dimensional Supersonic Flow 11.12 Effects of Compressibility in External Flow CHAPTER SUMMARY AND STUDY GUIDE KEY EQUATIONS REFERENCES PROBLEMS 12 TURBOMACHINES Learning Objectives 12.1 Introduction 12.2 Basic Energy Considerations 12.3 Angular Momentum Considerations 12.4 The Centrifugal Pump 12.5 Axial Flow and Mixed Flow Pumps 12.6 Dimensionless Parameters and Similarity Laws 12.7 Turbines 12.8 Fans 12.9 Compressible Flow Turbomachines CHAPTER SUMMARY AND STUDY GUIDE KEY EQUATIONS REFERENCES PROBLEMS APPENDIX A Computational Fluid Dynamics APPENDIX B Physical Properties of Fluids APPENDIX C Properties of the U.S. Standard Atmosphere APPENDIX D Compressible Flow Functions for an Ideal Gas with k = 1.4 APPENDIX E Comprehensive Table of Conversion Factors INDEX

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a huge range and FREE tracked UK delivery on ALL orders.

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Book SynopsisA modern introduction to synchronization phenomena, this text presents recent discoveries and the current state of research in the field, from low-dimensional systems to complex networks. The book describes some of the main mechanisms of collective behaviour in dynamical systems, including simple coupled systems, chaotic systems, and systems of infinite-dimension. After introducing the reader to the basic concepts of nonlinear dynamics, the book explores the main synchronized states of coupled systems and describes the influence of noise and the occurrence of synchronous motion in multistable and spatially-extended systems. Finally, the authors discuss the underlying principles of collective dynamics on complex networks, providing an understanding of how networked systems are able to function as a whole in order to process information, perform coordinated tasks, and respond collectively to external perturbations. The demonstrations, numerous illustrations and application examples will Table of ContentsPreface; 1. Introduction and main concepts; 2. Low-dimensional systems; 3. Multistable systems, coupled neurons and applications; 4. High-dimensional systems; 5. Complex networks; References; Index.

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Book SynopsisAdvanced Computational Vibroacoustics presents an advanced computational method for the prediction of sound and structural vibrations, in low- and medium-frequency ranges - complex structural acoustics and fluid-structure interaction systems encountered in aerospace, automotive, railway, naval, and energy-production industries. The formulations are presented within a unified computational strategy and are adapted for the present and future generation of massively parallel computers. A reduced-order computational model is constructed using the finite element method for the damped structure and the dissipative internal acoustic fluid (gas or liquid with or without free surface) and using an appropriate symmetric boundary-element method for the external acoustic fluid (gas or liquid). This book allows direct access to computational methods that have been adapted for the future evolution of general commercial software. Written for the global market, it is an invaluable resource for academiTable of Contents1. Principal objectives and a strategy for modeling vibroacoustic systems; 2. Definition of the vibroacoustic system; 3. External inviscid acoustic fluid equations; 4. Internal dissipative acoustic fluid equations; 5. Structure equations; 6. Vibroacoustic boundary-value problem; 7. Computational vibroacoustic model; 8. Reduced-order computational model; 9. Uncertainty quantification in computational vibroacoustics; 10. Symmetric BEM without spurious frequencies for the external acoustic fluid.

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Book SynopsisThis textbook integrates classic principles of flow through porous media with recently developed stochastic analyses to provide new insight on subsurface hydrology. Importantly, each of the authors has extensive experience in both academia and the world of applied groundwater hydrology. The book not only presents theories but also emphasizes their underlying assumptions, limitations, and the potential pitfalls that may occur as a result of blind application of the theories as ''cookie-cutter'' solutions. The book has been developed for advanced-level courses on groundwater fluid flow, hydraulics, and hydrogeology, in either civil and environmental engineering or geoscience departments. It is also a valuable reference text for researchers and professionals in civil and environmental engineering, geology, soil science, environmental science, and petroleum and mining engineering.Trade Review'The text overall is well-organized, and the content is well-presented for a short, specialized textbook, with organized prose that makes liberal use of section headings and typesetting to highlight key concepts. Color line-drawings, plots, and a few pictures add to the appeal of the text as well, visually conveying difficult concepts such as spatial correlation and cross-correlation fields. Each chapter is nicely summarized through a key list of take-home points, and ends with a short set of exercises that test conceptual and quantitative understanding … The content of the book assumes only a basic background in fluid mechanics or hydrogeology, and thus can serve as a relatively self-contained reference on pumping-test models … Chapter 9, in particular, sets this book apart from classical pumping-test analyses through its presentation of the stochastic modeling approach and discussion of hydraulic tomography.' Michael Cardiff, GroundwaterTable of Contents1. Fluid statics and dynamics; 2. Darcy's law for saturated porous media; 3. Darcy's law for saturated unporous media; 4. Stochastic conceptualization of heterogeneity; 5. Governing equations for flow through heterogeneous conceptual models; 6. Equivalent homogeneous media conceptual models; 7. Flow toward a well due to pumping, part 1; 8. Flow toward a well due to pumping, part 2; 9. Stochastic approaches.

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Book SynopsisFluid mechanics is the study of fluids including liquids, gases and plasmas and the forces acting on them. Its study is critical in predicting rainfall, ocean currents, reducing drag on cars and aeroplanes, and design of engines. The subject is also interesting from a mathematical perspective due to the nonlinear nature of its equations. For example, the topic of turbulence has been a subject of interest to both mathematicians and engineers: to the former because of its mathematically complex nature and to the latter group because of its ubiquitous presence in real-life applications. This book is a follow-up to the first volume and discusses the concepts of fluid mechanics in detail. The book gives an in-depth summary of the governing equations and their engineering related applications. It also comprehensively discusses the fundamental theories related to kinematics and governing equations, hydrostatics, surface waves and ideal fluid flow, followed by their applications.Table of ContentsList of figures; List of tables; Preface; Notations; 1. Kinematics and governing equations; 2. Hydrostatics; 3. Ideal fluid flow; 4. Surface waves; 5. Exact solutions to flow problems of an incompressible viscous fluid; 6. Laminar boundary layer theory; 7. Low-Reynolds number hydrodynamics; 8. Compressible fluid flow; Appendices; Bibliography; Answers and hints to selected exercises; Index.

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Book SynopsisThe stratified ocean mixes episodically in small patches where energy is dissipated and density smoothed over scales of centimeters. The net effect of these countless events effects the shape of the ocean''s thermocline, how heat is transported from the sea surface to the interior, and how dense bottom water is lifted into the global overturning circulation. This book explores the primary factors affecting mixing, beginning with the thermodynamics of seawater, how they vary in the ocean and how they depend on the physical properties of seawater. Turbulence and double diffusion are then discussed, which determines how mixing evolves and the different impacts it has on velocity, temperature, and salinity. It reviews insights from both laboratory studies and numerical modelling, emphasising the assumptions and limitations of these methods. This is an excellent reference for researchers and graduate students working to advance our understanding of mixing, including oceanographers, atmospheTrade Review'The book is recommended to graduate students majoring in physical oceanography and related ocean science fields, and will also find readers among researchers with related interests.' M. Alam, CHOICETable of Contents1. Mixing and its role in the ocean; 2. Thermodynamics and seawater properties; 3. Turbulence; 4. Double diffusion; 5. Sampling mixing and its environment; 6. Internal waves and the vortical mode; 7. Interactions and dissipation of internal waves and the vortical mode; 8. Mixing in the stratified interior; Appendix.

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Book SynopsisA self-contained introduction to tides that will be useful as a textbook for courses on tides in oceans and coastal seas at an advanced undergraduate and postgraduate level, and will also serve as the go-to book for researchers and coastal engineers needing information about tides.Table of ContentsAcknowledgment; 1. Introductory concepts; 2. Tidal forcing; 3. Celestial motions; 4. Tidal constituents and the harmonic method; 5. Tidal wave propagation; 6. Tides in coastal seas and basins; 7. Internal tides.

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Book SynopsisCovering both theory and experiment, this text describes the behaviour of homogeneous and density-stratified fluids over and around topography. Its presentation is suitable for advanced undergraduate and graduate students in fluid mechanics, as well as for practising scientists, engineers, and researchers. Using laboratory experiments and illustrations to further understanding, the author explores topics ranging from the classical hydraulics of single-layer flow to more complex situations involving stratified flows over two- and three-dimensional topography, including complex terrain. A particular focus is placed on applications to the atmosphere and ocean, including discussions of downslope windstorms, and of oceanic flow over continental shelves and slopes. This new edition has been restructured to make it more digestible, and updated to cover significant developments in areas such as exchange flows, gravity currents, waves in stratified fluids, stability, and applications to the atmTable of Contents1. Background; 2. Nonlinear single-layer flow: classical hydraulics; 3. Nonlinear single-layer flow past obstacles – jumps, bores and wave dispersion; 4. Two-layer flow with jumps and topography; 5. Two-layer and stratified flow through contractions; 6. Exchange flows; 7. Gravity currents, downslope and anabatic flows, and stratified hydraulic jumps; 8. Waves in stratified fluids; 9. The stability of stratified flows; 10. Stratified flow over two-dimensional obstacles – linear and near-linear theory; 11. Stratified flow over two-dimensional obstacles – nonlinear hydraulic models with applications; 12. Stratified flow over three-dimensional topography – linear theory; 13. Three-dimensional stratified flow over finite obstacles; 14. Flow over complex and realistic terrain in the atmosphere and ocean; 15. Applications to practical modelling of flow over complex terrain; References; Index.

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Book SynopsisThis introduction to the origins and evolutions of magnetic fields in planets, stars and galaxies is aimed at graduate-level students in mathematics, physics, Earth sciences and astrophysics. Researchers at all levels will find this a valuable resource, but it is also ideal for those who are new to the subject.Table of ContentsPreface; Part I. Basic Theory and Observations: 1. Introduction; 2. Magnetokinematic preliminaries; 3. Advection, distortion and diffusion; 4. The magnetic field of the Earth and planets; 5. Astrophysical magnetic fields; Part II. Foundations of Dynamo Theory: 6. Laminar dynamo theory; 7. Mean-field electrodynamics; 8. Nearly axisymmetric dynamos; 9. Solution of the mean-field equations; 10. The fast dynamo; Part III. Dynamic Aspects of Dynamo Action: 11. Low-dimensional models of the geodynamo; 12. Dynamic equilibration; 13. The geodynamo: instabilities and bifurcations; 14. Astrophysical dynamic models; 15. Helical turbulence; 16. Magnetic relaxation under topological constraints; 17. Magnetic relaxation in a low-β plasma; Appendix. Orthogonal curvilinear coordinates; References; Author index; Subject index.

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Book SynopsisCovering both theory and experiment, this text describes the behaviour of homogeneous and density-stratified fluids over and around topography. Its presentation is suitable for advanced undergraduate and graduate students in fluid mechanics, as well as for practising scientists, engineers, and researchers. Using laboratory experiments and illustrations to further understanding, the author explores topics ranging from the classical hydraulics of single-layer flow to more complex situations involving stratified flows over two- and three-dimensional topography, including complex terrain. A particular focus is placed on applications to the atmosphere and ocean, including discussions of downslope windstorms, and of oceanic flow over continental shelves and slopes. This new edition has been restructured to make it more digestible, and updated to cover significant developments in areas such as exchange flows, gravity currents, waves in stratified fluids, stability, and applications to the atmTable of Contents1. Background; 2. Nonlinear single-layer flow: classical hydraulics; 3. Nonlinear single-layer flow past obstacles – jumps, bores and wave dispersion; 4. Two-layer flow with jumps and topography; 5. Two-layer and stratified flow through contractions; 6. Exchange flows; 7. Gravity currents, downslope and anabatic flows, and stratified hydraulic jumps; 8. Waves in stratified fluids; 9. The stability of stratified flows; 10. Stratified flow over two-dimensional obstacles – linear and near-linear theory; 11. Stratified flow over two-dimensional obstacles – nonlinear hydraulic models with applications; 12. Stratified flow over three-dimensional topography – linear theory; 13. Three-dimensional stratified flow over finite obstacles; 14. Flow over complex and realistic terrain in the atmosphere and ocean; 15. Applications to practical modelling of flow over complex terrain; References; Index.

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Book SynopsisCombining rigorous theory with practical application, this book provides a unified and detailed account of the fundamental equations governing atmospheric and oceanic fluid flow on which global, quantitative models of weather and climate prediction are founded. It lays the foundation for more accurate models by making fewer approximations and imposing dynamical and thermodynamical consistency, moving beyond the assumption that the Earth is perfectly spherical. A general set of equations is developed in a standard notation with clearly stated assumptions, limitations, and important properties. Some exact, non-linear solutions are developed to promote further understanding and for testing purposes. This book contains a thorough consideration of the fundamental equations for atmospheric and oceanic models, and is therefore invaluable to both theoreticians and numerical modellers. It also stands as an accessible source for reference purposes.Trade Review'Andrew Staniforth has produced a comprehensive and insightful book on the mathematical foundation of global atmosphere and oceanic modelling. For different geophysical fluid applications, he guides us masterfully from the first principles of fluid physics to their evolution equations. The book covers all the fundamental aspects of these equations including conservation laws and exact nonlinear solutions. This brilliant book is ideal for introducing graduate students to the subject matter as much as it is relevant for experts as a reference book.' Gilbert Brunet, Bureau of Meteorology, Melbourne'Well, this is an impressive book. It covers both the equations of motion and how those equations and their approximations can be used in models of the ocean and atmosphere. It is clearly written, careful and thorough, with a range and a depth that is unmatched elsewhere. It will be of immense value both to those interested in the fundamentals and those wishing to build models that have a sound foundation. It will be a standard for years to come.' Geoffrey K. Vallis, University of Exeter'This is the textbook I wish I'd had as a graduate student and course instructor! This is an incredibly comprehensive resource for students and researchers alike. I am confident the book will become the go to reference on atmospheric and oceanic modelling for the 2020s and beyond.' Andrew Weaver, University of Victoria'Global Atmospheric and Oceanic Modelling is bound to become a classic in the literature of Geophysical Fluid Dynamics. Written by a multi-decade insider to the design of the numerical “dynamical cores” that are at the heart of the models employed for both weather prediction and climate change projection, the book provides a meticulously documented development of dynamically and thermodynamically self-consistent sets of equations that are employed to describe the evolution of these geophysical fluids. Highlights of the book include a careful development of the influence of the ellipsoidal shape of the planet which acts through the gravitational field on the evolution of these fluid domains.' W. Richard Peltier, University of Toronto'This text is a tremendous resource for anyone looking for a rigorous, thorough treatment of the fundamental equations needed for the development of dynamical cores of numerical models for weather and climate, especially for those interested and/or involved in model design and development. The treatment is detailed, general, and exact without ad-hoc approximations or simplifications. This includes a more truthful representation of variations in gravity due to the geometry of the system. Andrew Staniforth offers the reader unique insights from his experience of an entire career as a leading scholar in the field.' Thomas Birner, University of MunichTable of ContentsPreface. Notation and acronyms. Part I. Foundations: 1. Introduction; 2. Governing equations for motion of a dry atmosphere: Vector form; 3. Governing equations for motion of a cloudy atmosphere: Vector form; 4. Governing equations for motion of geophysical fluids: Vector form; 5. Orthogonal curvilinear coordinate systems; 6. Governing equations for motion of geophysical fluids: Curvilinear form; 7. Representation of gravity: Basic theory and spherical planets; 8. Representation of gravity: Further theory and spheroidal planets; 9. Thermodynamic potentials and thermodynamical consistency; 10. Moist thermodynamics; 11. Ocean thermodynamics; 12. Geopotential coordinates for modelling planetary atmospheres and oceans; 13. Vertical coordinates and boundary conditions; 14. Variational methods and Hamilton's principle of stationary action; 15. Conservation. Part II. Dynamically Consistent Equation Sets: 16. Deep and shallow equation sets in 3D; 17. Quasi-shallow equation sets in 3D; 18. Shallow water equation sets in 2D; 19. A barotropic potential vorticity (BPV) equation for flow over a spheroidal planet. Part III. Exact Steady and Unsteady Nonlinear Solutions: 20. Exact steady solutions of the global shallow water equations; 21. Exact 3D steady solutions of global equation sets; 22. Exact unsteady solutions of the barotropic potential vorticity equation over an ellipsoid; 23. Exact unsteady solutions in 3D over an ellipsoidal planet. Appendix. References. Index.

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Book SynopsisExplore a unified treatment of the dynamics of combustor systems, including acoustics, fluid mechanics, and combustion in a single rigorous text. This updated new edition features an expansion of data and experimental material, updates the coverage of flow stability, and enhanced treatment of flame dynamics. Addresses system dynamics of clean energy and propulsion systems used in low emissions systems. Synthesizing the fields of fluid mechanics and combustion into a coherent understanding of the intrinsically unsteady processes in combustors. This is a perfect reference for engineers and researchers in fluid mechanics, combustion, and clean energy.Trade Review'This well-written and well-designed book should be welcomed by all in the combustion science and engineering community, including graduate students. It will be especially useful to newer graduate students who need to learn about the breadth and depth of the field … Highly recommended.' A. M. Strauss, Choice ConnectTable of ContentsAcknowledgments; Introduction; Overview of the Book; 1. Basic equations; 2. Decomposition and evolution of disturbances; 3. Hydrodynamic flow stability I: linear instability; 4. Hydrodynamic flow stability II: common combustor flowfields; 5. Acoustic wave propagation I – basic concepts; 6. Acoustic wave propagation II – heat release, complex geometry, and mean flow effects; 7. Flame sheet and flow interactions; 8. Ignition; 9. Internal flame processes; 10. Flame stabilization, flashback, flameholding, and blowoff; 11. Forced response I – flamelet dynamics; 12. Forced response II – heat release dynamics; Index.

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Book SynopsisThis introduction to the mathematics of incompressible fluid mechanics and its applications keeps prerequisites to a minimum only a background knowledge in multivariable calculus and differential equations is required. Part One covers inviscid fluid mechanics, guiding readers from the very basics of how to represent fluid flows through to the incompressible Euler equations and many real-world applications. Part Two covers viscous fluid mechanics, from the stress/rate of strain relation to deriving the incompressible Navier-Stokes equations, through to Beltrami flows, the Reynolds number, Stokes flows, lubrication theory and boundary layers. Also included is a self-contained guide on the global existence of solutions to the incompressible Navier-Stokes equations. Students can test their understanding on 100 progressively structured exercises and look beyond the scope of the text with carefully selected mini-projects. Based on the authors'' extensive teaching experience, this is a valuaTable of ContentsPreface; Introduction; Part I. Inviscid Flow: 1. Flow and transport; 2. Ideal fluid flow; 3. Two-dimensional irrotational flow; Part 2. Viscous Flow: 4. Navier–Stokes flow; 5. Low Reynolds number flow; 6. Bounday layer theory; 7. Navier–Stokes regularity; Appendix; Bibliography; Index.

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Book SynopsisGrid generation deals with the use of grids (meshes) in the numerical solution of partial differential equations by finite elements, finite volume, finite differences and boundary elements. Grid generation is applied in the aerospace, mechanical engineering and scientific computing fields. This book presents new research in the field.

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Book SynopsisLectures on Geophysical Fluid Dynamics offers an introduction to several topics in theoretical geophysical fluid dynamics, including the theory of large-scale ocean circulation, geostrophic turbulence, and Hamiltonian fluid dynamics. The book is based on an introductory course in dynamical oceanography offered to first-year graduate students at Scripps Institution of Oceanography. Each chapter is a self-contained introduction ti its particular subject, and makes few specific references to other chapters. Chapters 1 examines the relationship between the molecular and continuum models of the fluid, and between the Eulerian and Lagrangian descriptions of the latter. Ch.2 is a broad introduction to the fluid dynamics of rotating, stratified flows. Ch.3 adddresses large-scale ocean circulation. Chs.4,5 and 6 discuss the theory of turbulence, including elementary ideas based on vorticity laws (Ch.4), statistical turbulence theory (Ch.5), and the applications of these ideas to quasigeostrophiTrade Review'The book provides an excellent course for graduate students in applied mathematics or mathematical oceanography or meterology. It can be used fruitfully by researchers in related areas who would like to learn about a field of physics that generates intriguing and cha,lenging mathematical problems...It is also likely to become a significant reference book for the subject' SIAM ReviewTable of Contents1. Fundamentals ; 2. Introduction to Geophysical Fluid Dyunamics ; 3. Non-inertial Theory of Ocean Circulation ; 4. Vorticity and Turbulence ; 5. Statistical Fluid Dynamics ; 6. Geostropic Turbulence ; 7. Hamiltonian Fluid Dynamics

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