Wave interactions and fluid flows
著者
書誌事項
Wave interactions and fluid flows
（Cambridge monographs on mechanics and applied mathematics）
Cambridge University Press, 1985
- : pbk
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注記
Bibliography: p. 289-318
Includes index
内容説明・目次
内容説明
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.
目次
- 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.
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