Chirgwin / Plumpton / Langford Elementary Classical Hydrodynamics

The Commonwealth and International Library: Mathematics Division
1. Auflage 2013
ISBN: 978-1-4831-6550-9
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 232 Seiten, Web PDF

Elementary Classical Hydrodynamics deals with the fundamental principles of elementary classical hydrodynamics, with emphasis on the mechanics of inviscid fluids. Topics covered by this book include direct use of the equations of hydrodynamics, potential flows, two-dimensional fluid motion, waves in liquids, and compressible flows. Some general theorems such as Bernoulli's equation are also considered. This book is comprised of six chapters and begins by introducing the reader to the fundamental principles of fluid hydrodynamics, with emphasis on ways of studying the motion of a fluid. Basic concepts and quantities such as viscosity, density, and pressure, are considered, along with hydrostatics and the equation of motion. The discussion then turns to Bernoulli's equation, the motion of a small element of fluid, velocity potential, and the kinetic energy of a uniform incompressible fluid. The chapters that follow explore two-dimensional fluid motion; a uniform inviscid, incompressible liquid having a free surface and upon which the only body force acting is uniform gravity; and a compressible gas with undisturbed uniform pressure and density, paying particular attention to the propagation and reflection of sound waves. This book is intended as an elementary introduction to the mechanics of inviscid fluids for first and second year undergraduates.

Autoren/Hrsg.

Chirgwin, B. H.

Plumpton, C.

Langford, W. J.

Maxwell, E. A.

Inhaltsverzeichnis

1;Front Cover;1
2;Elementary Classical Hydrodynamics;4
3;Copyright Page;5
4;Table of Contents;6
5;PREFACE;8
6;Chapter 1. Fundamental principles;10
6.1;1.1. Introduction;10
6.2;1.2. Basic concepts and quantities;11
6.3;1.3. The equation of continuity;17
6.4;1.4. Velocity and acceleration;18
6.5;1.5. The equation of motion;22
6.6;1.6. Hydrostatics;24
6.7;1.7. Direct use of the equations of hydrodynamics;30
7;Chapter 2. Some general theorems;43
7.1;2.1. Bernoulli's equation;43
7.2;2.2. The analysis of fluid motion;47
7.3;2.3. Flow, circulation and vorticity;51
8;Chapter 3. Potential flows;60
8.1;3.1. Velocity potential and the uniqueness theorem;60
8.2;3.2. Multiply connected regions;64
8.3;3.3. Kinetic energy and Kelvin's theorem;69
8.4;3.4. Impulse and momentum;71
8.5;3.5. Sources, sinks and doublets;74
8.6;3.6. The drag force and lift on a moving body in uniform incompressible fluid;95
8.7;3.7. Stokes' stream function;107
9;Chapter 4. Two-dimensional fluid motion;119
9.1;4.1. The stream function and velocity potential;119
9.2;4.2. Circular harmonics;121
9.3;4.3. Conjugate functions;124
9.4;4.4. The circle theorem and images;128
9.5;4.5. The theorem of Blasius;130
9.6;4.6. The kinetic energy;138
9.7;4.7. Moving boundaries;141
9.8;4.8. Vortex motion;145
9.9;4.9. The use of conformal transformations;154
9.10;4.10. Uniqueness theorems;166
10;Chapter 5. Waves in liquids;171
10.1;5.1. Fundamental concepts;171
10.2;5.2. Tidal waves;172
10.3;5.3. Surface waves;180
11;Chapter 6. Compressible fluids—sound waves;192
11.1;6.1. Soundwaves;192
11.2;6.2. Some important features of compressible flows;216
12;APPENDIX: INTEGRALS WITH MOVING BOUNDARIES;224
13;BIBLIOGRAPHY;227
14;ANSWERS TO THE EXERCISES;228
15;INDEX;232