Vorticity Selection with Multiple Eddies in Two-Dimensional Steady Flow at High Reynolds Number

DOI10.1137/S003613999834981XzbMath0977.76020OpenAlexW1993997354MaRDI QIDQ2706094

Sun-Chul Kim, Stephen Childress

Publication date: 19 March 2001

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s003613999834981x

zbMATH Keywords

series solutionlinear theoryfinite-differenceboundary layersinviscid limithigh Reynolds numbersteady Navier-Stokes flowEuler flowlimiting vorticitiesPrandtl-Batchelor problemFeynman-Lagerstrom formulamultiple eddiesperturbed symmetric eddy problemtwo-dimensional cavity flow

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Vortex flows for incompressible inviscid fluids (76B47) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Viscous vortex flows (76D17)

Related Items (3)

Prandtl-Batchelor flows on a disk ⋮ An extension of Prandtl–Batchelor theory and consequences for chaotic advection ⋮ Strongly nonlinear Langmuir circulation and Rayleigh–Bénard convection

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