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Theory and Modeling of Rotating Fluids
Convection, Inertial Waves and Precession

Part of Cambridge Monographs on Mechanics

  • Date Published: July 2017
  • availability: Available
  • format: Hardback
  • isbn: 9780521850094


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About the Authors
  • A systematic account of the theory and modelling of rotating fluids that highlights the remarkable advances in the area and brings researchers and postgraduate students in atmospheres, oceanography, geophysics, astrophysics and engineering to the frontiers of research. Sufficient mathematical and numerical detail is provided in a variety of geometries such that the analysis and results can be readily reproduced, and many numerical tables are included to enable readers to compare or benchmark their own calculations. Traditionally, there are two disjointed topics in rotating fluids: convective fluid motion driven by buoyancy, discussed by Chandrasekhar (1961), and inertial waves and precession-driven flow, described by Greenspan (1968). Now, for the first time in book form, a unified theory is presented for three topics - thermal convection, inertial waves and precession-driven flow - to demonstrate that these seemingly complicated, and previously disconnected, problems become mathematically simple in the framework of an asymptotic approach that incorporates the essential characteristics of rotating fluids.

    • The first systematic account of the theory and modelling of rotating fluids since 1968
    • Unifies three topics of rotating fluids which were traditionally treated separately: thermal convection, inertial waves, and precession-driven flow
    • Provides updated theories of hydrodynamical processes in rotating fluid systems
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    Product details

    • Date Published: July 2017
    • format: Hardback
    • isbn: 9780521850094
    • length: 540 pages
    • dimensions: 254 x 182 x 31 mm
    • weight: 1.27kg
    • availability: Available
  • Table of Contents

    Part I. Fundamentals of Rotating Fluids:
    1. Basic concepts and equations for rotating fluids
    Part II. Inertial Waves in Uniformly Rotating Systems:
    2. Introduction
    3. Inertial modes in rotating narrow-gap annuli
    4. Inertial modes in rotating cylinders
    5. Inertial modes in rotating
    6. Inertial modes in rotating oblate spheroids
    7. A proof of completeness of inertial modes in rotating channels
    8. Indications of completeness of inertial modes in rotating spheres
    Part III. Precession and Libration in Non-Uniformly Rotating Systems:
    9. Introduction
    10. Fluid motion in precessing narrow-gap annuli
    11. Fluid motion in precessing circular cylinders
    12. Fluid motion in precessing spheres
    13. Fluid motion in longitudinally librating spheres
    14. Fluid motion in precessing oblate spheroids
    15. Fluid motion in latitudinally librating spheroids
    Part IV. Convection in Uniformly Rotating Systems:
    16. Introduction
    17. Convection in rotating narrow-gap annuli
    18. Convection in rotating cylinders
    19. Convection in rotating spheres or spherical shells
    Appendix A
    Appendix B

  • Authors

    Keke Zhang, University of Exeter
    Keke Zhang, Professor of Geophysical and Astrophysical Fluid Dynamics at the University of Exeter, obtained his B.Sc. in 1982 from Nanjing University, China, his M.Sc. in 1985 and his Ph.D. in 1987 from the University of California, Los Angeles. He is a Fellow of both the American Geophysical Union and the Royal Astronomical Society. Professor Zhang has authored over 180 publications in peer-reviewed scientific journals.

    Xinhao Liao, Chinese Academy of Sciences
    Xinhao Liao, Professor of Celestial Dynamics at the Chinese Academy of Sciences, obtained his B.Sc. in 1983 and his Ph.D. in 1989 from Nanjing University, China.

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