Wave Interactions and Fluid Flows
Wave Interactions and Fluid Flows
$71.99
USDWave 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
"...a worthy addition to the Cambridge series on mechanics and applied mathematics...a useful reference." American Meteorological Society
Product details
July 1988Paperback
9780521368292
336 pages
230 × 154 × 22 mm
0.499kg
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
- References
- Index.
