Elementary Fluid Dynamics

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Clarendon Press, Mar 15, 1990 - Mathematics - 397 pages
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The study of the dynamics of fluids is a central theme of modern applied mathematics. It is used to model a vast range of physical phenomena and plays a vital role in science and engineering. This textbook provides a clear introduction to both the theory and application of fluid dynamics, and will be suitable for all undergraduates coming to the subject for the first time. Prerequisites are few: a basic knowledge of vector calculus, complex analysis, and simple methods for solving differential equations are all that is needed. Throughout, numerous exercises (with hints and answers) illustrate the main ideas and serve to consolidate the reader's understanding of the subject. The book's wide scope (including inviscid and viscous flows, waves in fluids, boundary layer flow, and instability in flow) and frequent references to experiments and the history of the subject, ensures that this book provides a comprehensive and absorbing introduction to the mathematical study of fluid behaviour.
 

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Contents

1 INTRODUCTION
1
2 ELEMENTARY VISCOUS FLOW
26
3 WAVES
56
4 CLASSICAL AEROFOIL THEORY
120
5 VORTEX MOTION
157
6 THE NAVIERSTOKES EQUATION
201
7 VERY VISCOUS FLOW
221
8 BOUNDARY LAYERS
260
9 INSTABILITY
300
APPENDIX
348
HINTS AND ANSWERS FOR EXERCISES
356
BIBLIOGRAPHY
384
INDEX
391
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About the author (1990)

D. J. Acheson is at Jesus College, Oxford.