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Wave Interactions and Fluid Flows

Wave Interactions and Fluid Flows


Part of Cambridge Monographs on Mechanics

  • Date Published: July 1988
  • availability: Available
  • format: Paperback
  • isbn: 9780521368292

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About the Authors
  • Wave Interactions and Fluid Flows is a coherent, up-to-date and comprehensive account of theory and experiment on wave-interaction phenomena, both in fluids at rest and in shear flows. On the one hand, this includes water waves, internal waves, their evolution and interaction and associated wave-driven mean flows; on the other, phenomena of nonlinear hydrodynamic stability, especially those leading to the onset of turbulence. Close similarities - and crucial differences - exist between these two classes of phenomena and their treatment in this single study provides a particularly valuable bridge between more specialised, but related, disciplines. As a result, this unique book will appeal to researchers and graduate students of fluid mechanics in its widest sense, including the study of wave-interaction phenomena in such diverse fields as meteorology, aeronautical and hydraulic engineering, optics, solar physics and population dynamics. Dr Craik is an active researcher of long-standing at the University of St Andrews and has wide experience in the field of fluid mechanics.

    Reviews & endorsements

    'The theme that the author has adopted for his monograph, as reflected in its title, has enabled him to draw together, in a coherent and successful manner, a large amount of material that spans a range of, perhaps not obviously related, fluid-dynamical phenomena.' Contemporary Physics

    'I enjoyed reading this book; the discussion of the topics that I am familiar with served as a refreshing, integrated review; the rest of the discussion outlines the important developments and gives enough references to get someone started who is seriously interested in exploring the subject in more detail.' Science

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    Product details

    • Date Published: July 1988
    • format: Paperback
    • isbn: 9780521368292
    • length: 336 pages
    • dimensions: 230 x 154 x 22 mm
    • weight: 0.499kg
    • availability: Available
  • Table of Contents

    Part I. Introduction:
    1. Introduction
    Part II. Linear Wave Interactions:
    2. Flows with piecewise-constant density and velocity
    3. Flows with constant density and continuous velocity profile
    4. Flows with density stratification and piecewise-constant velocity
    5. Flows with continuous profiles of density and velocity
    6. Models of mode coupling
    7. Eigenvalue spectra and localized disturbances
    Part III. Introduction to Nonlinear Theory:
    8. Introduction to nonlinear theory
    Part IV. Waves and Mean Flows:
    9. Spatially-periodic waves in channel flows
    10. Spatially-periodic waves on deformable boundaries
    11. Modulated wave-packets
    12. Generalized Lagrangian mean (GLM) formulation
    13. Spatially-periodic means flows
    Part V. Three-wave Resonance:
    14. Conservative wave interactions
    15. Solutions of the conservative interaction equations
    16. Linearly damped waves
    17. Non-conservative wave interactions
    Part VI. Evolution of a Nonlinear Wave-Train:
    18. Heuristic derivation of the evolution equations
    19. Weakly nonlinear waves in inviscid fluids
    20. Weakly nonlinear waves in shear flows
    21. Properties of the evolution equations
    22. Waves of larger amplitude
    Part VII. Cubic Three- and Four-wave Interactions:
    23. Conservative four-wave interactions
    24. Mode interactions in Taylor-Couette flow
    25. Rayleigh-Benard convection
    26. Wave interactions in planar shear flows
    Part VIII. Strong Interactions, Local Instabilities and Turbulence: A Postscript:
    27. Strong interactions, local instabilities and turbulence: A postscript

  • Author

    Alex D. D. Craik

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