Introduction to Hydrodynamic Stability (Cambridge Texts in Applied Mathematics Book 32) 1st Edition by P. G. Drazin (PDF)

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 differential equations, complex variables and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐One of my favorite courses from grad school, a small book, easy to revisit the topic wiout getting too overwhelmed. Short chapters and just the right amount of pictures. Still seems easy to read today 10 years later. I am not currently working in a field that studies stable/unstable flow but since I cook my own meals I run into practical situations daily.A good read for the modern chef!

⭐It is a very good book in the subject, there is an awesome amount of content in its small size. A little bit dense, but a classic in the subject of Hydrodynamic Stability.

⭐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-Bénard, 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.

⭐Strongly recommend for hydrodynamic instability student

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