Wave Interactions And Fluid Flows by Alex D. D. CraikWave Interactions And Fluid Flows by Alex D. D. Craik

Wave Interactions And Fluid Flows

byAlex D. D. Craik

Paperback | July 29, 1988

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This up-to-date and comprehensive account of theory and experiment on wave-interaction phenomena covers fluids both at rest and in their shear flows. It includes, on the one hand, water waves, internal waves, and their evolution, interaction, and associated wave-driven means flow and, on the other hand, phenomena on nonlinear hydrodynamic stability, especially those leading to the onset of turbulence. This study provide a particularly valuable bridge between these two similar, yet different, classes of phenomena. It will be of value to oceanographers, meteorologists, and those working in fluid mechanics, atmospheric and planetary physics, plasma physics, aeronautics, and geophysical and astrophysical fluid dynamics.
Title:Wave Interactions And Fluid FlowsFormat:PaperbackDimensions:336 pages, 8.98 × 5.98 × 0.75 inPublished:July 29, 1988Publisher:Cambridge University Press

The following ISBNs are associated with this title:

ISBN - 10:0521368294

ISBN - 13:9780521368292


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.

Editorial Reviews

"...a worthy addition to the Cambridge series on mechanics and applied mathematics...a useful reference." American Meteorological Society