Hydrodynamic Stability

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Cambridge University Press, Aug 5, 2004 - Mathematics - 605 pages
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This book begins with a basic introduction to three major areas of hydrodynamic stability: thermal convection, rotating and curved flows, and parallel shear flows. There follows a comprehensive account of the mathematical theory for parallel shear flows. A number of applications of the linear theory are discussed, including the effects of stratification and unsteadiness. The emphasis throughout is on the ideas involved, the physical mechanisms, the methods used, and the results obtained, and, wherever possible, the theory is related to both experimental and numerical results. A distinctive feature of the book is the large number of problems it contains. These problems, for which hints and references are given, not only provide exercises for students but also provide many additional results in a concise form.
 

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This is a great classical introductory book to hydrodynamic stability and transition to turbulence. It discusses linear and non-linear stability analysis methods.

Contents

III
1
IV
4
V
8
VI
14
VII
22
VIII
27
IX
32
X
34
XLIII
267
XLIV
280
XLVII
285
XLVIII
290
XLIX
295
L
305
LI
311
LII
317

XI
37
XII
44
XIII
50
XIV
52
XV
59
XVI
62
XVII
63
XVIII
69
XIX
71
XX
82
XXI
88
XXII
108
XXIII
116
XXIV
121
XXV
124
XXVI
126
XXVII
131
XXVIII
144
XXIX
147
XXX
153
XXXI
158
XXXII
164
XXXIII
180
XXXIV
196
XXXV
202
XXXVI
211
XXXVII
239
XXXVIII
245
XXXIX
251
XL
256
XLI
263
XLII
265
LIII
320
LIV
333
LV
339
LVI
345
LVIII
353
LIX
363
LX
370
LXI
380
LXII
387
LXIII
398
LXIV
402
LXV
407
LXVI
416
LXVII
420
LXVIII
423
LXIX
432
LXX
434
LXXI
435
LXXIII
442
LXXIV
450
LXXV
458
LXXVI
465
LXXVII
466
LXXVIII
472
LXXIX
477
LXXX
479
LXXXI
481
LXXXII
559
LXXXIII
595
LXXXIV
597
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About the author (2004)

Norman Riley is an Emeritus Professor of Applied Mathematics at the University of East Anglia.

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