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The Equations of Oceanic Motions

AUD$87.95 inc GST

  • Date Published: October 2012
  • availability: Available
  • format: Paperback
  • isbn: 9781107410602

AUD$ 87.95 inc GST

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About the Authors
  • Modeling and prediction of oceanographic phenomena and climate is based on the integration of dynamic equations. The Equations of Oceanic Motions derives and systematically classifies the most common dynamic equations used in physical oceanography, from large-scale thermohaline circulations to those governing small scale motions and turbulence. After establishing the basic dynamical equations that describe all oceanic motions, Müller then derives approximate equations, emphasizing the assumptions made and physical processes eliminated. He distinguishes between geometric, thermodynamic and dynamic approximations and between the acoustic, gravity, vortical and temperature-salinity modes of motion. Basic concepts and formulae of equilibrium thermodynamics, vector and tensor calculus, curvilinear coordinate systems, and the kinematics of fluid motion and wave propagation are covered in appendices. Providing the basic theoretical background for graduate students and researchers of physical oceanography and climate science, this book will serve as both a comprehensive text and an essential reference.

    • Provides a systematic and rigorous derivation of equations to aid students' understanding
    • Clearly states all assumptions to allow reader to judge whether an approximation is suitable for their purpose
    • Includes all of the necessary mathematical background
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    Reviews & endorsements

    Review of the hardback: 'The book will surely become a standard reference for the ocean dynamicist who wants to get the equations and usual approximations right. For me, the book is already worth the price just for its thorough treatment of the Boussinesq approximation. … On many topics, The Equations of Oceanic Motions supplements or surpasses these standard books. It … deserves to become a trusted guide to the basic formulation of physical oceanography.' Oceanography

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    Product details

    • Date Published: October 2012
    • format: Paperback
    • isbn: 9781107410602
    • length: 302 pages
    • dimensions: 244 x 170 x 16 mm
    • weight: 0.49kg
    • availability: Available
  • Table of Contents

    1. Introduction
    2. Equilibrium thermodynamics of sea water
    3. Balance equations
    4. Molecular flux laws
    5. The gravitational potential
    6. The basic equations
    7. Dynamical impact of the equation state
    8. Free wave solution on a sphere
    9. Asymptotic expansions
    10. Reynolds decomposition
    11. Boussinesq approximation
    12. Large scale motions
    13. Primitive equations
    14. Representations of vertical structure
    15. Ekman layers
    16. Planetary geostrophic flows
    17. Tidal equations
    18. Medium scale motions
    19. Quasi-geostrophic flows
    20. Motions on the f-plane
    21. Small scale motions
    22. Sound waves
    Appendix A. Equilibrium thermodynamics
    Appendix B. Vector and tensor analysis
    Appendix C. Orthogonal curvilinear coordinate systems
    Appendix D. Kinematics of fluid motions
    Appendix E. Kinematics of waves
    Appendix F. Conventional and notation

  • Author

    Peter Müller, University of Hawaii, Manoa

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