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Introduction to Hydrodynamic Stability

Introduction to Hydrodynamic Stability

Part of Cambridge Texts in Applied Mathematics

  • Date Published: September 2002
  • availability: Available
  • format: Paperback
  • isbn: 9780521009652


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About the Authors
  • 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.

    • A companion text to the classic Drazin and Reid
    • Includes many examples and exercises, making it an ideal textbook
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    Reviews & endorsements

    '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 für 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 Nachrichten

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    Product details

    • Date Published: September 2002
    • format: Paperback
    • isbn: 9780521009652
    • length: 278 pages
    • dimensions: 225 x 151 x 14 mm
    • weight: 0.38kg
    • contains: 78 b/w illus.
    • availability: Available
  • Table of Contents

    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–Bénard convection
    7. Centrifugal instability
    8. Stability of parallel flows
    9. Routes to chaos and turbulence
    10. Case studies in transition to turbulence

  • Instructors have used or reviewed this title for the following courses

    • Introduction to Mathematical Fluid Dynamics
    • Stability of Geophysical Fluid Flows
    • Turbulent and Separated Flows
    • Waves and Instabilities
  • Author

    P. G. Drazin, University of Bristol

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