Wavenumber Selection for Small‐Wavelength Gertler Vörtices in Curved Channel Flows

DOI10.1002/SAPM1996973209zbMath0860.76035OpenAlexW1519037518MaRDI QIDQ4715254

Andrew Dando, Philip Hall

Publication date: 16 December 1996

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

Full work available at URL: https://doi.org/10.1002/sapm1996973209

zbMATH Keywords

phase variableouter channel wallphase-equation approach

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Parallel shear flows in hydrodynamic stability (76E05)

Cites Work

• Convection patterns in large aspect ratio systems
• A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation
• Controlling the spacing of streamwise vortices on concave walls
• ON THE EFFECT OF CROSSFLOW ON NONLINEAR GÖRTLER VORTICES IN CURVED CHANNEL FLOWS
• The Görtler vortex instability mechanism in three-dimensional boundary layers
• Wavenumber selection in ramped Rayleigh–Bénard convection
• The fully nonlinear development of Görtler vortices in growing boundary layers
• On the Non-linear Evolution of Görtler Vortices in Non-parallel Boundary Layers
• Slowly Varying Waves and Shock Structures in Reaction-Diffusion Equations
• Wavenumber selection and irregularity of spatially developing nonlinear Dean and Görtler vortices
• A phase-equation approach to boundary–layer instability theory: Tollmien-Schlichting waves

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