The strong nonlinear interaction of Tollmien–Schlichting waves and Taylor–Görtler vortices in curved channel flow

DOI10.1017/S0022112091001507zbMath0717.76052OpenAlexW2129862227MaRDI QIDQ5749043

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Publication date: 1991

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

Full work available at URL: https://doi.org/10.1017/s0022112091001507

zbMATH Keywords

Tollmien- Schlichting wavelower-branch viscous modesnonlinear equilibrium statesTaylor-Görtler flowviscous travelling wave instabilities

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Nonlinear effects in hydrodynamic stability (76E30) Navier-Stokes equations (35Q30)

Related Items (8)

Vortex-Wave Interactions/Self-Sustained Processes in High Prandtl Number Natural Convection in A Vertical Channel with Moving Sidewalls ⋮ On subsonic, supersonic and hypersonic inflectional-wave/vortex interaction ⋮ On the initial stages of vortex wave interactions in highly curved boundary layer flows ⋮ High-speed shear-driven dynamos. Part 1. Asymptotic analysis ⋮ Bifurcation of nonlinear Tollmien–Schlichting waves in a high-speed channel flow ⋮ Streamwise vortices in shear flows: harbingers of transition and the skeleton of coherent structures ⋮ Localized vortex/Tollmien–Schlichting wave interaction states in plane Poiseuille flow ⋮ Exact coherent structures at extreme Reynolds number

Cites Work

• A numerical study of wide-gap Taylor vortices
• On the stability of the unsteady boundary layer on a cylinder oscillating transversely in a viscous fluid
• On the secondary instability of Taylor-Görtler vortices to Tollmien-Schlichting waves in fully developed flows
• On the nonlinear interaction of Görtler vortices and Tollmien-Schlichting waves in curved channel flows at finite Reynolds numbers
• The nonlinear development of Görtler vortices in growing boundary layers
• The nonlinear interaction of Tollmien–Schlichting waves and Taylor-Görtler vortices in curved channel flows
• Effect of streamwise vortices on Tollmien-Schlichting waves
• A Suggested Mechanism for Nonlinear Wall Roughness Effects on High Reynolds Number Flow Stability
• Taylor—Gortler vortices in fully developed or boundary-layer flows: linear theory
• The nonlinear calculation of Taylor-vortex flow between eccentric rotating cylinders

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