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Wave interactions and fluid flows

Author: Alex D D Craik
Publisher: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1988, ©1985.
Series: Cambridge monographs on mechanics and applied mathematics.
Edition/Format:   Print book : English : 1st pbk. edView all editions and formats
Summary:

An account of theory and experiment on wave interaction phenomena, both in fluids at rest and in shear flows. Waves and their interaction and phenomena of nonlinear hydrodynamic stability are among  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Alex D D Craik
ISBN: 0521368294 9780521368292 0521267404 9780521267403
OCLC Number: 29770869
Description: xii, 322 pages : illustrations ; 24 cm.
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.
Series Title: Cambridge monographs on mechanics and applied mathematics.
Responsibility: Alex D.D. Craik.
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