Wave interactions and fluid flows /
Wave Interactions & Fluid Flows
Alex D.D. Craik.
- Cambridge : Cambridge University Press, 1985.
- 1 online resource (xii, 322 pages) : digital, PDF file(s).
- Cambridge monographs on mechanics .
- Cambridge monographs on mechanics. .
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Linear wave interactions -- Flows with piecewise-constant density and velocity -- Stability of an interface -- A three-layer model -- An energy criterion -- Viscous dissipation -- Flows with constant density and continuous velocity profile -- Stability of constant-density flows -- Critical layers and wall layers -- Flows with density stratification and piecewise-constant velocity -- Continuously-stratified flows -- Vortex sheet with stratification -- Over-reflection and energy flux -- The influence of boundaries -- Flows with continuous profiles of density and velocity -- Unbounded shear layers -- Bounded shear layers -- The critical layer in inviscid stratified flow -- Diffusive effects -- Models of mode coupling -- Model dispersion relations -- Mode conversion in inhomogeneous media -- Eigenvalue spectra and localized disturbances -- The temporal eigenvalue spectrum -- The spatial eigenvalue spectrum -- Evolution of localized disturbances -- Introduction to nonlinear theory -- Introduction to nonlinear theory -- Introductory remarks -- Description of a general disturbance -- Review of special cases -- Waves and mean flows -- Spatially-periodic waves in channel flows -- The mean-flow equations -- Particular solutions -- The viscous wall layer -- Spatially-periodic waves on deformable boundaries -- The Eulerian drift velocity of water waves -- 'Swimming' of a wavy sheet -- Modulated wave-packets -- Waves in viscous channel flows -- Waves on a free surface -- Wave propagation in inhomogeneous media -- Wave action and energy.
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.