On the breakdown of Rayleigh’s criterion for curved shear flows: a destabilization mechanism for a class of inviscidly stable flows

DOI10.1017/jfm.2013.446zbMath1294.76132OpenAlexW1963888249MaRDI QIDQ2878440

Philip Hall

Publication date: 29 August 2014

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2013.446

zbMATH Keywords

parametric instabilityboundary layer stabilitynonlinear instability

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Stability and instability of nonparallel flows in hydrodynamic stability (76E09)

Related Items (1)

Centrifugal/elliptic instabilities in slowly varying channel flows

Cites Work

• Görtler vortices: Are they amenable to local eigenvalue analysis?
• Streamwise vortices in shear flows: harbingers of transition and the skeleton of coherent structures
• Görtler vortices in growing boundary layers: The leading edge receptivity problem, linear growth and the nonlinear breakdown stage
• The linear development of Görtler vortices in growing boundary layers
• The nonlinear development of Görtler vortices in growing boundary layers
• The fully nonlinear development of Görtler vortices in growing boundary layers
• Nonlinear interaction of near‐planar TS waves and longitudinal vortices in boundary‐layer transition
• Stability of Gortler Vortices in Boundary Layers
• Taylor—Gortler vortices in fully developed or boundary-layer flows: linear theory
• The linear inviscid secondary instability of longitudinal vortex structures in boundary layers
• The secondary instability in Goertler flow
• Nonlinear interaction of oblique three-dimensional Tollmien-Schlichting waves and longitudinal vortices, in channel flows and boundary layers
• On the effects of boundary-layer growth on flow stability
• ON SPATIAL EVOLUTION OF LONG-WAVELENGTH GÖRTLER VORTICES GOVERNED BY A VISCOUS-INVISCID INTERACTION PART 1: THE LINEAR CASE
• The receptivity problem for O (1) wavelength Görtler vortices
• Primary and secondary instabilities of the asymptotic suction boundary layer on a curved plate
• Fundamental and subharmonic secondary instabilities of Görtler vortices
• Axisymmetric travelling waves in annular sliding Couette flow at finite and asymptotically large Reynolds number
• The effects of gravity modulation on the stability of a heated fluid layer
• On strongly nonlinear vortex/wave interactions in boundary-layer transition
• The stability of the plane free surface of a liquid in vertical periodic motion
• Instabilität laminarer Grenzschichten an konkaven Wänden gegenüber gewissen dreidimensionalen Störungen

This page was built for publication: On the breakdown of Rayleigh’s criterion for curved shear flows: a destabilization mechanism for a class of inviscidly stable flows