Görtler vortices: Are they amenable to local eigenvalue analysis?

DOI10.1016/S0997-7546(99)80005-3zbMath0940.76016MaRDI QIDQ1302945

Paolo Luchini, Alessandro Bottaro

Publication date: 19 July 2000

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionOrr-Sommerfeld equationsmall expansion parameterinverse of Görtler numberlocal eigenvalue analysisnon-parallel local theoryparabolic linear stability equationstwo-dimensional boundary-layer instabilities

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Parallel shear flows in hydrodynamic stability (76E05) Stability and instability of nonparallel flows in hydrodynamic stability (76E09)

Related Items (15)

Excitation of steady and unsteady Görtler vortices by free-stream vortical disturbances ⋮ Receptivity, instability and breakdown of Görtler flow ⋮ Transition to turbulence over convex surfaces ⋮ Transient growth of Görtler vortices in two-dimensional compressible boundary layers. Application to surface waviness ⋮ Systematic study of distributed excitation of unsteady Görtler modes by freestream vortices ⋮ The onset of Görtler vortices in laminar boundary layer flow over a slightly concave wall ⋮ Görtler vortices and streaks in boundary layer subject to pressure gradient: excitation by free stream vortical disturbances, nonlinear evolution and secondary instability ⋮ Hypersonic boundary layer transition on a concave wall: stationary Görtler vortices ⋮ Interaction between Görtler vortices and two-dimensional Tollmien–Schlichting waves ⋮ Mechanisms for spatial steady three-dimensional disturbance growth in a non-parallel and separating boundary layer ⋮ Steady and unsteady Görtler boundary-layer instability on concave wall ⋮ Secondary instabilities of Görtler vortices in high-speed boundary layer flows ⋮ Nonlinear evolution and secondary instability of steady and unsteady Görtler vortices induced by free-stream vortical disturbances ⋮ Instabilities in the Görtler model for wall bounded flows ⋮ On the breakdown of Rayleigh’s criterion for curved shear flows: a destabilization mechanism for a class of inviscidly stable flows

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