On the Generation of Mean Flows by the Interaction of Görtler Vortices and Tollmien‐Schlichting Waves in Curved Channel Flows

DOI10.1002/sapm1989813185zbMath0682.76035OpenAlexW827302665MaRDI QIDQ4732222

Andrew P. Bassom, Philip Hall

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1002/sapm1989813185

zbMATH Keywords

Tollmien-Schlichting wavesnonlinear regimeonset of transitioncurved channel flows

Mathematics Subject Classification ID

Interfacial stability and instability in hydrodynamic stability (76E17) Hydrodynamic stability (76E99) Basic methods in fluid mechanics (76M99)

Related Items (6)

The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability ⋮ On the initial stages of vortex wave interactions in highly curved boundary layer flows ⋮ On high-Taylor-number Taylor vortices ⋮ Weakly nonlinear wave motions in a thermally stratified boundary layer ⋮ New exact solutions of the Boussinesq equation ⋮ Streamwise vortices in shear flows: harbingers of transition and the skeleton of coherent structures

Cites Work

• A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation
• The linear development of Görtler vortices in growing boundary layers
• 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
• The fully nonlinear development of Görtler vortices in growing boundary layers
• Nonlinear stability of boundary layers for disturbances of various sizes
• Effect of streamwise vortices on Tollmien-Schlichting waves
• On the Non-linear Evolution of Görtler Vortices in Non-parallel Boundary Layers
• Taylor—Gortler vortices in fully developed or boundary-layer flows: linear theory
• On the non-parallel flow stability of the Blasius boundary layer

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