A Family of Wave‐Mean Shear Interactions and Their Instability to Longitudinal Vortex Form

DOI10.1002/sapm1996962143zbMath0952.76019OpenAlexW2460800951MaRDI QIDQ4890196

No author found.

Publication date: 11 January 2001

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1996962143

zbMATH Keywords

velocity distributionlongitudinal vorticesLangmuir circulationsgeneralized Lagrangian mean equationsinstability mapsinviscid unidirectional shear layersRayleigh-Craik equationsmall spanwise periodic perturbationstwo-dimensional neutral Rayleigh waveswind-driven surface waves

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Parallel shear flows in hydrodynamic stability (76E05) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (6)

Nonlinear steady states to Langmuir circulation in shallow layers: an asymptotic study ⋮ Langmuir-type vortices in wall-bounded flows driven by a criss-cross wavy wall topography ⋮ On the formation of longitudinal vortices in a turbulent boundary layer over wavy terrain ⋮ On Lagrangian drift in shallow-water waves on moderate shear ⋮ Sheared free-surface flow over three-dimensional obstructions of finite amplitude ⋮ On Langmuir circulation in shallow waters

Cites Work

• Unnamed Item
• Secondary flows in a plane channel: their relationship and comparison with turbulent flows
• An exact theory of nonlinear waves on a Lagrangian-mean flow
• The two- and three-dimensional instabilities of a spatially periodic shear layer
• Wave-induced longitudinal-vortex instability in shear flows
• The generation of Langmuir circulations by an instability mechanism
• On the instability of wave-catalysed longitudinal vortices in strong shear
• The generalized Lagrangian-mean equations and hydrodynamic stability
• The three-dimensional nature of boundary-layer instability

This page was built for publication: A Family of Wave‐Mean Shear Interactions and Their Instability to Longitudinal Vortex Form