On the Non-linear Evolution of Görtler Vortices in Non-parallel Boundary Layers

DOI10.1093/imamat/29.2.173zbMath0498.76095OpenAlexW2050850834MaRDI QIDQ3964255

Philip Hall

Publication date: 1982

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/29.2.173

zbMATH Keywords

Blasius boundary layernonparallel effectsconcave wallfinite amplitude solutionsGoertler vortices

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) General theory of rotating fluids (76U05)

Related Items (19)

Painlevé equations -- nonlinear special functions. ⋮ On internal fluid dynamics ⋮ On the Nonlinear Development of Görtler Vortices in a Compressible Boundary Layer ⋮ The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability ⋮ Receptivity mechanisms for Görtler vortex modes ⋮ Nonlinear Development of Viscous Gertler Vortices in a Three‐Dimensional Boundary Layer ⋮ On the initial stages of vortex wave interactions in highly curved boundary layer flows ⋮ Görtler vortices in growing boundary layers: The leading edge receptivity problem, linear growth and the nonlinear breakdown stage ⋮ On the Görtler vortex instability mechanism at hypersonic speeds ⋮ Power expansions for the self-similar solutions of the modified Sawada-Kotera equation ⋮ The inviscid compressible Görtler problem in three-dimensional boundary layers ⋮ Power and non-power expansions of the solutions for the fourth-order analogue to the second Painlevé equation ⋮ On the development of Görtler vortices in wall jet flow ⋮ On the Effects of Nonparallelism, Three-Dimensionality, and Mode Interaction in Nonlinear Boundary-Layer Stability ⋮ The nonlinear evolution of centrifugal instabilities in curved, compressible mixing layers ⋮ Spatio-temporal dynamics of turbulent separation bubbles ⋮ Centrifugal/elliptic instabilities in slowly varying channel flows ⋮ Wavenumber Selection for Small‐Wavelength Gertler Vörtices in Curved Channel Flows ⋮ On the Generation of Mean Flows by the Interaction of Görtler Vortices and Tollmien‐Schlichting Waves in Curved Channel Flows

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