Introduction to Hydrodynamic Stability
Published on 9. September 2002
Book
Hardback
278 pages
978-0-521-80427-1 (ISBN)
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.
Reviews / Votes
'There is not much to say about this book - if you want to know about hydrodynamic stability, get it, pen and paper, maybe a computer, and start working through it. There is no better way ... Anyone who has worked conscientiously through this book will have no trouble moving on to research in this topic.' The Mathematical Gazette 'Drazin's book is an excellent first introduction to this subject ... and a very useful book has been produced that will be of interest to engineers, physicists and mathematicians starting research in fluid mechanics for many years to come.' The Journal of Fluid Mechanics '... introduces prospective students into its subject at a graduate level. Without either undue oversimplification or oversophistication the author manages to present the fundamentals of hydrodynamic stability in a very lucid way.' Monatshefte fuer Mathematik 'Without either undue oversimplification or over-sophistication the author manages to present the fundamentals of hydrodynamic stability in a very lucid way. The exercises constitute a part of particular value. With their many comments and further thoughts they amount to much more than just to exercises in the plain meaning of the word.' Internationale Mathematische NachrichtenMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Professional and scholarly
Illustrations
78 Line drawings, unspecified
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 21 mm
Weight
606 gr
ISBN-13
978-0-521-80427-1 (9780521804271)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
P. G. Drazin
Introduction to Hydrodynamic Stability
E-Book
09/2002
Cambridge University Press
€49.99
Available for download
Person
Content
1. General introduction; 2. Introduction to steady flows, their instability and bifurcations; 3. Kelvin-Helmholtz instability; 4. Capillary instability of a jet; 5. Development of instabilities in time and space; 6. Rayleigh-Benard convection; 7. Centrifugal instability; 8. Stability of parallel flows; 9. Routes to chaos and turbulence; 10. Case studies in transition to turbulence; References; Index.