Batchelor - An introduction to fluid dynamics
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The author is indebted to many friends and colleagues who stimulated or transmitted ideas which make up this book. In particular, E. R. Fadell, K. O. Friedrichs, S. Y. Husseini, C. R. Illingworth, A. Kadish, J. J. Mahony, W. H. Reid, M. C. Shen, J. J. Stoker, and F. Ursell read parts of the manuscript and gave helpful advice.
A massive debt is owed to the United States Air Force Office of Scientific Research for Grant AFOSR-1248-67 to support the writing of this book; and a similar debt for support is owed to the Mathematics Research Center, United States Army. Further support for research incorporated here was provided by the National Science Foundation and by the University of Wisconsin.
Permission to reproduce material from the following sources is acknowledged : from L. Prandtl, The Essentials of Fluid Dynamics , Blackie, London, 1952, in respect of ; and from H. R. Byers, General Meteorology , 3rd ed., McGraw-Hill, New York, 1959, in respect of Fig. 30.2.
The half-tone plate on p. 111 () has been contributed by the National Physical Laboratory, Teddington, Mddx, through the kind offices of Dr. R. J. North of the Aerodynamics Division; the photograph is Crown Copyright Reserved.
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Of the two possible didactic approaches to a physical subject, one proceeds from general definitions to their implications, leaving aside the problem of deciding which definitions are relevant to a particular, real situation. The other proceeds from specific situations and examples to definitions there relevant leaving the general principles of the subject to emerge only by and by. Fluid dynamics is too varied and subtle a subject for the first approach, but the second is too hard on the student, who has to persevere through an inordinate volume of work before the subject takes over-all shape. Like most other textbooks, this work therefore adopts largely the first approach.
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