Wave Interactions and Fluid Flows

Alex D. D. Craik (Author)

9780521368292, Cambridge University Press

Paperback, published 7 July 1988

336 pages
23 x 15.4 x 2.2 cm, 0.499 kg

'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

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.

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.

Subject Areas: Applied mathematics [PBW]