Introduction to Hydrodynamic Stability | 
| Author: P. G. Drazin
Publisher: Cambridge University Press
Category: Book
List Price: $41.99
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Avg. Customer Rating:  1 reviews
Sales Rank: 282117
Media: Paperback
Edition: 1
Number Of Items: 1
Pages: 300
Shipping Weight (lbs): 0.9
Dimensions (in): 8.8 x 5.9 x 0.6
ISBN: 0521009650
Dewey Decimal Number: 532.5
EAN: 9780521009652
ASIN: 0521009650
Publication Date: July 15, 2002
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Product Description
Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment. They are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography, physics, and engineering. This is a graduate-level textbook to introduce these phenomena by modeling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized with many figures. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differntial equations, complex variable and the elements of fluid mechanics. The book is aimed at graduate students, but is very useful for specialists in other fields.
Book Description
Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized, with many figures, and in references to more still and moving pictures. The relation of chaos to transition is discussed at length. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differntial equations, complex variable and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.
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| Customer Reviews:
Good topics, but see his other books September 29, 2003
11 out of 11 found this review helpful
Drazin was an excellent writer (see Hydrodynamic Stability and Nonlinear Systems), but this book felt very disorganized to me, possibly because he passed away shortly before it's release.The concept is very good: how do we get from instability to full-fleged turbulence, and are we even ready to answer the question? He gives a good explanation of the stability of ODEs, and follows this with a discussion of the standard linear hydrodynamic stability problems (Kelvin-Helmholtz, Rayleigh-Benard, etc.). It ends with a discussion of the transition to turbulence. But the problem is that he has already treated most of these topics in his other books, and the earlier treatments were nearly identical in many respects, or they were just plain better. Even regarding the new material on transition to turbulence, I feel that it did not serve to unify the earlier topics as it should have. Some further editing may have greatly improved this book and better underscored the overlying theme, but as it stands I feel that one is better off spending their time on his other books.
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