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Gravity–Capillary Free-Surface Flows


Part of Cambridge Monographs on Mechanics

  • Date Published: July 2010
  • availability: Available
  • format: Hardback
  • isbn: 9780521811903

£ 111.00

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About the Authors
  • Free surface problems occur in many aspects of science and of everyday life such as the waves on a beach, bubbles rising in a glass of champagne, melting ice, pouring flows from a container and sails billowing in the wind. Consequently, the effect of surface tension on gravity-capillary flows continues to be a fertile field of research in applied mathematics and engineering. Concentrating on applications arising from fluid dynamics, Vanden-Broeck draws upon his years of experience in the field to address the many challenges involved in attempting to describe such flows mathematically. Whilst careful numerical techniques are implemented to solve the basic equations, an emphasis is placed upon the reader developing a deep understanding of the structure of the resulting solutions. The author also reviews relevant concepts in fluid mechanics to help readers from other scientific fields who are interested in free boundary problems.

    • Major work highlighting recent developments in the field
    • Well-respected author with years of research experience
    • Develops understanding of structure of solutions gained from careful implementation of numerical techniques
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    Reviews & endorsements

    'There is no doubt that this volume would determine fruitful directions for future advanced study and research. So, this is an outstanding contribution of the author who spent a considerable amount of time and energy to write such a useful monograph.' Zentralblatt MATH

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    Product details

    • Date Published: July 2010
    • format: Hardback
    • isbn: 9780521811903
    • length: 330 pages
    • dimensions: 255 x 180 x 21 mm
    • weight: 0.82kg
    • contains: 204 b/w illus.
    • availability: Available
  • Table of Contents

    1. Introduction
    2. Basic concepts
    3. Free surface flows which intersect walls
    4. Linear free surface flows generated by moving disturbances
    5. Nonlinear waves (asymptotic solutions)
    6. Numerical computations of nonlinear water waves
    7. Nonlinear free surface flows generated by moving disturbances
    8. Free surface flows with waves and intersections with rigid walls
    9. Waves with constant vorticity
    10. Three-dimensional free surface flows
    11. Time dependent free surface flows

  • Author

    Jean-Marc Vanden-Broeck, University College London
    Jean-Marc Vanden-Broeck is Professor in the Department of Mathematics at University College London.

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