On Prandtl--Batchelor Theory of a Cylindrical Eddy: Asymptotic Study

DOI10.1137/S0036139996303282zbMath0930.76019OpenAlexW2057765780MaRDI QIDQ4210044

Sun-Chul Kim

Publication date: 20 September 1998

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

Full work available at URL: https://doi.org/10.1137/s0036139996303282

zbMATH Keywords

matched asymptotic expansionsconstant vorticityclosed streamlinesinviscid limit of vorticityperturbation of boundary data

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Vortex flows for incompressible inviscid fluids (76B47) Finite difference methods applied to problems in fluid mechanics (76M20) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10)

Related Items (10)

A free-boundary problem for Euler flows with constant vorticity on the sphere ⋮ Prandtl-Batchelor flows on a disk ⋮ Unnamed Item ⋮ Batchelor–Wood formula for negative wall velocity ⋮ An extension of Prandtl–Batchelor theory and consequences for chaotic advection ⋮ On non-existence of steady periodic solutions of the Prandtl equations ⋮ The generalized Proudman-Johnson equation and its singular perturbation problems ⋮ Strongly nonlinear Langmuir circulation and Rayleigh–Bénard convection ⋮ A high-order adaptive numerical method for recirculating flows at large Reynolds number ⋮ Stationary flows with highly localized vorticity of the incompressible viscous fluid at large Reynolds numbers

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