Fluid Dynamics

Part 3 Boundary Layers

Author: Anatoly I. Ruban

Publisher: Oxford University Press

ISBN: 0199681759

Category: Science

Page: 382

View: 5806

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This is the third volume in a four-part series on Fluid Dynamics: PART 1: Classical Fluid Dynamics PART 2: Asymptotic Problems of Fluid Dynamics PART 3: Boundary Layers PART 4: Hydrodynamic Stability Theory The series is designed to give a comprehensive and coherent description of fluid dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field. The notion of the boundary layer was introduced by Prandtl (1904) to describe thin viscous layers that form on a rigid body surface in high-Reynolds-number flows. Part 3 of this series begins with the classical theory of the boundary-layer flows, including the Blasius boundary layer on a flat plate and the Falkner-Skan solutions for the boundary layer on a wedge surface. However, the main focus is on recent results of the theory that have not been presented in texbooks before. These are based on the so-called "triple-deck theory" that have proved to be invaluable in describing various fluid-dynamic phenomena, including the boundary-layer separation from a rigid body surface.
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Fluid Dynamics

Part 1: Classical Fluid Dynamics

Author: Anatoly I. Ruban,Jitesh S. B. Gajjar

Publisher: OUP Oxford

ISBN: 0191503967

Category: Science

Page: 336

View: 5517

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This is the first book in a four-part series designed to give a comprehensive and coherent description of Fluid Dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field. The present Part 1 consists of four chapters. Chapter 1 begins with a discussion of Continuum Hypothesis, which is followed by an introduction to macroscopic functions, the velocity vector, pressure, density, and enthalpy. We then analyse the forces acting inside a fluid, and deduce the Navier-Stokes equations for incompressible and compressible fluids in Cartesian and curvilinear coordinates. In Chapter 2 we study the properties of a number of flows that are presented by the so-called exact solutions of the Navier-Stokes equations, including the Couette flow between two parallel plates, Hagen-Poiseuille flow through a pipe, and Karman flow above an infinite rotating disk. Chapter 3 is devoted to the inviscid incompressible flow theory, with particular focus on two-dimensional potential flows. These can be described in terms of the "complex potential", allowing the full power of the theory of functions of complex variables to be used. We discuss in detail the method of conformal mapping, which is then used to study various flows of interest, including the flows past Joukovskii aerofoils. The final Chapter 4 is concerned with compressible flows of perfect gas, including supersonic flows. Particular attention is given to the theory of characteristics, which is used, for example, to analyse the Prandtl-Meyer flow over a body surface bend and a corner. Significant attention is also devoted to the shock waves. The chapter concludes with analysis of unsteady flows, including the theory of blast waves.
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Elements of Fluid Dynamics

Author: Guido Buresti

Publisher: World Scientific Publishing Company

ISBN: 1908977043

Category: Technology & Engineering

Page: 604

View: 6278

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Elements of Fluid Dynamics is intended to be a basic textbook, useful for undergraduate and graduate students in different fields of engineering, as well as in physics and applied mathematics. The main objective of the book is to provide an introduction to fluid dynamics in a simultaneously rigorous and accessible way, and its approach follows the idea that both the generation mechanisms and the main features of the fluid dynamic loads can be satisfactorily understood only after the equations of fluid motion and all their physical and mathematical implications have been thoroughly assimilated. Therefore, the complete equations of motion of a compressible viscous fluid are first derived and their physical and mathematical aspects are thoroughly discussed. Subsequently, the necessity of simplified treatments is highlighted, and a detailed analysis is made of the assumptions and range of applicability of the incompressible flow model, which is then adopted for most of the rest of the book. Furthermore, the role of the generation and dynamics of vorticity on the development of different flows is emphasized, as well as its influence on the characteristics, magnitude and predictability of the fluid dynamic loads acting on moving bodies. The book is divided into two parts which differ in target and method of utilization. The first part contains the fundamentals of fluid dynamics that are essential for any student new to the subject. This part of the book is organized in a strictly sequential way, i.e. each chapter is assumed to be carefully read and studied before the next one is tackled, and its aim is to lead the reader in understanding the origin of the fluid dynamic forces on different types of bodies. The second part of the book is devoted to selected topics that may be of more specific interest to different students. In particular, some theoretical aspects of incompressible flows are first analysed and classical applications of fluid dynamics such as the aerodynamics of airfoils, wings and bluff bodies are then described. The one-dimensional treatment of compressible flows is finally considered, together with its application to the study of the motion in ducts. Sample Chapter(s) Chapter 1: Introduction (133 KB) Request Inspection Copy
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An Introduction to Theoretical Fluid Mechanics

Author: Stephen Childress

Publisher: American Mathematical Soc.

ISBN: 0821848887

Category: Science

Page: 201

View: 1970

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This book gives an overview of classical topics in fluid dynamics, focusing on the kinematics and dynamics of incompressible inviscid and Newtonian viscous fluids, but also including some material on compressible flow. The topics are chosen to illustrate the mathematical methods of classical fluid dynamics. The book is intended to prepare the reader for more advanced topics of current research interest.
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Measurement in Fluid Mechanics

Author: Stavros Tavoularis

Publisher: Cambridge University Press

ISBN: 9780521815185

Category: Science

Page: 354

View: 5431

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Measurement in Fluid Mechanics is an introductory, up-to-date, general reference in experimental fluid mechanics, describing both classical and state-of-the-art methods for flow visualization and for measuring flow rate, pressure, velocity, temperature, concentration, and wall shear stress. Particularly suitable as a textbook for graduate and advanced undergraduate courses. Measurement in Fluid Mechanics is also a valuable tool for practicing engineers and applied scientists. This book is written by a single author, in a consistent and straightforward style, with plenty of clear illustrations, an extensive bibliography, and over 100 suggested exercises. Measurement in Fluid Mechanics also features extensive background materials in system response, measurement uncertainty, signal analysis, optics, fluid mechanical apparatus, and laboratory practices, which shield the reader from having to consult with a large number of primary references. Whether for instructional or reference purposes, this book is a valuable tool for the study of fluid mechanics. Stavros Tavoularis has received a Dipl. Eng. from the National Technical University of Athens, Greece, an M.Sc. from Virginia Polytechnic Institute and State University and a Ph.D. from The Johns Hopkins University. He has been a professor in the Department of Mechanical Engineering at the University of Ottawa since 1980, where he has served terms as the Department Chair and Director of the Ottawa-Carleton Institute for Mechanical and Aerospace Engineering. His research interests include turbulence structure, turbulent diffusion, vortical flows, aerodynamics, biofluid dynamics, nuclear reactor thermal hydraulics and the development of experimental methods. Professor Tavoularis is a Fellow of the Engineering Institute of Canada, a Fellow of the Canadian Society for Mechanical Engineering and a recipient of the George S. Glinski Award for Excellence in Research. Contents: Part I. General concepts: 1. Flow properties and basic principles; 2. Measuring systems; 3. Measurement uncertainty; 4. Signal conditioning, discretization, and analysis; 5. Background for optical experimentation; 6. Fluid mechanical apparatus; 7. Towards a sound experiment; Part II. Measurement techniques: 8. Measurement of flow pressure; 9. Measurement of flow rate; 10. Flow visualization techniques; 11. Measurement of local flow velocity; 12. Measurement of temperature; 13. Measurement of composition; 14. Measurement of wall shear stress; 15. Outlook.
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Vortex Dynamics

Author: P. G. Saffman

Publisher: Cambridge University Press

ISBN: 9780521420587

Category: Mathematics

Page: 311

View: 3174

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Vortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory. However, this volume focuses on those aspects of fluid motion that are primarily controlled by the vorticity and are such that the effects of the other fluid properties are secondary.
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Classical and Modern Engineering Methods in Fluid Flow and Heat Transfer

An Introduction for Engineers and Students

Author: Abram Dorfman

Publisher: N.A

ISBN: 9781606502693

Category: Technology & Engineering

Page: 385

View: 8216

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Conjugate methods, also sometimes referred to as coupled equations, are used to analyze the inter-dependent relationship of two sets of governing equations--for example in understanding the movement of heat across the boundary from one object to another or the transfer of energy from a moving fluid to a surrounding elastic medium. This will be the first definitive text in years to offer a broad overview of conjugate methods and their more typical applications, with an emphasis on the advantages and benefits of this type of engineering analysis. Students and professionals alike will gain a better understanding of the practical uses for conjugate mathematical methods in solving often intractable problems in heat transfer and fluid mechanics. Ample end of chapter examples and problem sets will help to reinforce the theory and knowledge presented in the book. Some highlights are: Reviews basics of heat conduction in solids and convective heat transfer Offers both analytic and numerical methods for solving conjugate boundary condition problems Numerous detailed examples of applications in industrial problems, biomechanical systems, and other areas of heat transfer and fluid mechanics End of chapter problems and Solutions Manual
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Kinetic Theory and Fluid Dynamics

Author: Yoshio Sone

Publisher: Springer Science & Business Media

ISBN: 9780817642846

Category: Science

Page: 353

View: 9106

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This monograph is intended to provide a comprehensive description of the rela tion between kinetic theory and fluid dynamics for a time-independent behavior of a gas in a general domain. A gas in a steady (or time-independent) state in a general domain is considered, and its asymptotic behavior for small Knudsen numbers is studied on the basis of kinetic theory. Fluid-dynamic-type equations and their associated boundary conditions, together with their Knudsen-layer corrections, describing the asymptotic behavior of the gas for small Knudsen numbers are presented. In addition, various interesting physical phenomena derived from the asymptotic theory are explained. The background of the asymptotic studies is explained in Chapter 1, accord ing to which the fluid-dynamic-type equations that describe the behavior of a gas in the continuum limit are to be studied carefully. Their detailed studies depending on physical situations are treated in the following chapters. What is striking is that the classical gas dynamic system is incomplete to describe the behavior of a gas in the continuum limit (or in the limit that the mean free path of the gas molecules vanishes). Thanks to the asymptotic theory, problems for a slightly rarefied gas can be treated with the same ease as the corresponding classical fluid-dynamic problems. In a rarefied gas, a temperature field is di rectly related to a gas flow, and there are various interesting phenomena which cannot be found in a gas in the continuum limit.
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