Wave interactions and fluid flows [E-Book] / Alex D.D. Craik.
Craik, Alex D. D., (author)
Cambridge : Cambridge University Press, 1985
1 online resource (xii, 322 pages)
Cambridge monographs on mechanics
Full Text
Table of Contents:
  • 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.