Overview

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.

Full Product Details

Author:   Alex D. D. Craik
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press (Virtual Publishing)
ISBN:  

9780511569548

ISBN 10:   0511569548
Publication Date:   01 June 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Undefined
Publisher's Status:   Active
Availability:   Available To Order  
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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; References; Index.

Reviews

'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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