**Author**: Hilary Ockendon

**Publisher:** Springer

**ISBN:**

**Category:** Mathematics

**Page:** 243

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# Free eBooks PDF

## Waves and Compressible Flow

Now in its second edition, this book continues to give readers a broad mathematical basis for modelling and understanding the wide range of wave phenomena encountered in modern applications. New and expanded material includes topics such as elastoplastic waves and waves in plasmas, as well as new exercises. Comprehensive collections of models are used to illustrate the underpinning mathematical methodologies, which include the basic ideas of the relevant partial differential equations, characteristics, ray theory, asymptotic analysis, dispersion, shock waves, and weak solutions. Although the main focus is on compressible fluid flow, the authors show how intimately gasdynamic waves are related to wave phenomena in many other areas of physical science. Special emphasis is placed on the development of physical intuition to supplement and reinforce analytical thinking. Each chapter includes a complete set of carefully prepared exercises, making this a suitable textbook for students in applied mathematics, engineering, and other physical sciences. Reviews of the first edition: "This book ... is an introduction to the theory of linear and nonlinear waves in fluids, including the theory of shock waves. ... is extraordinarily accurate and free of misprints ... . I enjoyed reading this book. ... most attractive and enticing appearance, and I’m certain that many readers who browse through it will wish to buy a copy. The exercises ... are excellent. ... A beginner who worked through these exercises would not only enjoy himself or herself, but would rapidly acquire mastery of techniques used...in JFM and many other journals..." (C. J. Chapman, Journal of Fluid Mechanics, Vol. 521, 2004) "The book targets a readership of final year undergraduates and first year graduates in applied mathematics. In the reviewer’s opinion, it is very well designed to catch the student’s interest ... while every chapter displays essential features in some important area of fluid dynamics. Additionally, students may practice by solving 91 exercises. This volume is mainly devoted to inviscid flows. ... The book is very well written." (Denis Serre, Mathematical Reviews, 2004)
## Compressible Fluid Dynamics and Shock Waves

This book offers comprehensive coverage of compressible flow phenomena and their applications, and is intended for undergraduate/graduate students, practicing professionals, and researchers interested in the topic. Thanks to the clear explanations provided of a wide range of basic principles, the equations and formulas presented here can be understood with only a basic grasp of mathematics. The book particularly focuses on shock waves, offering a unique approach to the derivation of shock wave relations from conservation relations in fluids together with a contact surface, slip line or surface; in addition, the thrust of a rocket engine and that of an air-breathing engine are also formulated. Furthermore, the book covers important fundamentals of various aspects of physical fluid dynamics and engineering, including one-dimensional unsteady flows, and two-dimensional flows, in which oblique shock waves and Prandtl-Meyer expansion can be observed.
## Waves and Compressible Flow

This book covers compressible flow however the authors also show how wave phenomena in electromagnetism and solid mechanics can be treated using similar mathematical methods. It caters to the needs of the modern student by providing the tools necessary for a mathematical analysis of most kinds of waves liable to be encountered in modern science and technology. At the same time emphasis is laid on the physical background and modeling that requires these tools.
## Waves and Compressible Flow

This book ... is an introduction to the theory of linear and nonlinear waves in fluids, including the theory of shock waves. ... is extraordinarily accurate and free of misprints ... . I enjoyed reading this book. ... most attractive and enticing appearance, and I'm certain that many readers who browse through it will wish to buy a copy. The exercises ... are excellent. ... A beginner who worked through these exercises would not only enjoy himself or herself, but would rapidly acquire mastery of techniques used...in JFM and many other journals
## Introduction to Compressible Fluid Flow, Second Edition

Introduction to Compressible Fluid Flow, Second Edition offers extensive coverage of the physical phenomena experienced in compressible flow. Updated and revised, the second edition provides a thorough explanation of the assumptions used in the analysis of compressible flows. It develops in students an understanding of what causes compressible flows to differ from incompressible flows and how they can be analyzed. This book also offers a strong foundation for more advanced and focused study. The book begins with discussions of the analysis of isentropic flows, of normal and oblique shock waves and of expansion waves. The final chapters deal with nozzle characteristics, friction effects, heat exchange effects, a hypersonic flow, high-temperature gas effects, and low-density flows. This book applies real-world applications and gives greater attention to the supporting software and its practical application. Includes numerical results obtained using a modern commercial CFD (computer fluid dynamics) code to illustrate the type of results that can be obtained using such a code Replaces BASIC language programs with MATLAB® routines Avails COMPROP2 software which readers can use to do compressible flow computation Additional problems have been added, and non-numerical problems illustrating practical applications have been included. A solutions manual that contains complete solutions to all of the problems in this book is available. The manual incorporates the same problem-solving methodology as adopted in the worked examples in this book. It also provides summaries of the major equations developed in each chapter. An interactive computer program also accompanies this book.
## Waves and Compressible Flow

This book covers compressible flow however the authors also show how wave phenomena in electromagnetism and solid mechanics can be treated using similar mathematical methods. It caters to the needs of the modern student by providing the tools necessary for a mathematical analysis of most kinds of waves liable to be encountered in modern science and technology. At the same time emphasis is laid on the physical background and modeling that requires these tools.
## Compressible Fluid Flow

This reference develops the fundamental concepts of compressible fluid flow by clearly illustrating their applications in real-world practice through the use of numerous worked-out examples and problems. The book covers concepts of thermodynamics and fluid mechanics which relate directly to compressible flow; discusses isentropic flow through a variable-area duct; describes normal shock waves, including moving shock waves and shock-tube analysis; explores the effects of friction and heat interaction on the flow of a compressible fluid; covers two-dimensional shock and expansion waves; provides a treatment of linearized flow; discusses unsteady wave propagation and computational methods in fluid dynamics; provides several numerical methods for solving linear and nonlinear equations encountered in compressible flow; offers modern computational methods for solving nonintegrable equations; and describes methods of measurement in high-speed flow. Suitable for the practicing engineer engaged in compressible-flow applications.
## Mathematical Theory of Compressible Fluid Flow

Suitable for advanced undergraduate and graduate students, this text covers general theorems, conservation equations, waves, shocks, and nonisentropic flows, with emphasis on the basics, both conceptual and mathematical. 1958 edition.
## Theoretical Pressure Distributions Over Arbitrarily Shaped Periodic Waves in Subsonic Compressible Flow, and Comparison with Experiment

Theoretical solution for pressure distribution over arbitrarily shaped periodic waves using Fourier series.
## An Introduction to Compressible Flows with Applications

This book offers a concise and practical survey of the principles governing compressible flows, along with selected applications. It starts with derivation of the time-dependent, three-dimensional equation of compressible potential flows, and a study of weak waves, including evaluation of the sound speed in gases. The following chapter addresses quasi-one-dimensional flows, the study of normal shock waves, and flow in ducts with constant cross section subjected to friction and/or heat transfer. It also investigates the effects of friction and heat transfer in ducts with variable cross section. The chapter ends by pointing to the analogy between one-dimensional compressible flows and open channel hydraulics. Further, the book discusses supersonic flows, including the study of oblique shock waves, and supersonic flows over corners and wedges. It also examines Riemann problems, numerical resolution of the wave equation, and of nonlinear hyperbolic problems, including propagation of strong waves. A subsequent chapter focuses on the small perturbation theory of subsonic, transonic and supersonic flows around slender bodies aligned or almost aligned to the uniform inflow. In particular, it explores subsonic and supersonic flows over a wavy wall. Lastly, an appendix with a short derivation of the Fluid Mechanics basic equations is included. The final chapter addresses the problem of transonic flows where both subsonic and supersonic are present. Lastly, an appendix with a short derivation of the Fluid Mechanics basic equations is included. Illustrated with several practical examples, this book is a valuable tool to understand the most fundamental mathematical principles of compressible flows. Graduate Mathematics, Physics and Engineering students as well as researchers with an interest in the aerospace sciences benefit from this work.
## An Introduction to Compressible Flows with Applications

This book offers a concise and practical survey of the principles governing compressible flows, along with selected applications. It starts with derivation of the time-dependent, three-dimensional equation of compressible potential flows, and a study of weak waves, including evaluation of the sound speed in gases. The following chapter addresses quasi-one-dimensional flows, the study of normal shock waves, and flow in ducts with constant cross section subjected to friction and/or heat transfer. It also investigates the effects of friction and heat transfer in ducts with variable cross section. The chapter ends by pointing to the analogy between one-dimensional compressible flows and open channel hydraulics. Further, the book discusses supersonic flows, including the study of oblique shock waves, and supersonic flows over corners and wedges. It also examines Riemann problems, numerical resolution of the wave equation, and of nonlinear hyperbolic problems, including propagation of strong waves. A subsequent chapter focuses on the small perturbation theory of subsonic, transonic and supersonic flows around slender bodies aligned or almost aligned to the uniform inflow. In particular, it explores subsonic and supersonic flows over a wavy wall. Lastly, an appendix with a short derivation of the Fluid Mechanics basic equations is included. The final chapter addresses the problem of transonic flows where both subsonic and supersonic are present. Lastly, an appendix with a short derivation of the Fluid Mechanics basic equations is included. Illustrated with several practical examples, this book is a valuable tool to understand the most fundamental mathematical principles of compressible flows. Graduate Mathematics, Physics and Engineering students as well as researchers with an interest in the aerospace sciences benefit from this work.
## An Introduction to Compressible Flow

An Introduction to Compressible Flow, Second Edition covers the material typical of a single-semester course in compressible flow. The book begins with a brief review of thermodynamics and control volume fluid dynamics, then proceeds to cover isentropic flow, normal shock waves, shock tubes, oblique shock waves, Prandtl-Meyer expansion fans, Fanno-line flow, Rayleigh-line flow, and conical shock waves. The book includes a chapter on linearized flow following chapters on oblique shocks and Prandtl-Meyer flows to appropriately ground students in this approximate method. It includes detailed appendices to support problem solutions and covers new oblique shock tables, which allow for quick and accurate solutions of flows with concave corners. The book is intended for senior undergraduate engineering students studying thermal-fluids and practicing engineers in the areas of aerospace or energy conversion. This book is also useful in providing supplemental coverage of compressible flow material in gas turbine and aerodynamics courses.
## Compressible Fluid Flow

## Equations, Tables, and Charts for Compressible Flow

This report, which is a revision and extension of NACA TN 1428, presents a compilation of equations, tables, and charts useful in the analysis of high-speed flow of a compressible fluid. The equations provide relations for continuous one-dimensional flow, normal and oblique shock waves, and Prandtl-Meyer expansions for both perfect and imperfect gases. The tables present useful dimensionless ratios for continuous one-dimensional flow and for normal shock waves as functions of Mach number for air considered as a perfect gas.
## Nonsteady, One-dimensional, Internal, Compressible Flows

This is the first text devoted exclusively to the subject of nonsteady, compressible, internal flow theory and the application of this theory to practical devices. The need for such a text has become apparent with the availability of commercial equipment dependent upon this type of flow phenomena. The book is usable both as a text for graduate level courses and as an introduction for readers wishing to become familiar with nonsteady flow phenomena and their practical applications. This audience consists of mechanical, chemical, and aerospace engineers; and specialists in fluid mechanics. The first and second chapters are introductory in nature, aiming to assist readers conversant with the concepts of steady flow to adjust to unfamiliar events and circumstances while avoiding the finer details of algebraic manipulation. A generalized derivation of the classical method-of-characteristics as applied to one-dimensional, nonsteady, internal flows is included in chapter three. Chapter four is devoted to a study of the various boundary conditions necessary for handling a wide range of problems. Chapter five deals with methods of solution including both graphical and numerical procedures. The remaining five chapters explore specific fields of application. These include pipeline flows, dynamic pressure exchangers, pulse combusters and the tuning of the exhaust and induction systems of reciprocating, and Wankel type, internal combustion engines. Additional nonsteady flow devices are described in the last chapter. All the latter chapters are supported by appropriate references to available literature, including the basic material presented in the first half of the book. When necessary, additional specialized theoretical material is included in each of the special-topics applications-oriented chapters. In order to fulfill the needs of graduate students and their instructors, worked examples are included in addition to exercise problems.

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