The calculation of some Batchelor flows: The Sadovskii vortex and rotational corner flow

DOI10.1063/1.866718zbMath0643.76020OpenAlexW2046802252MaRDI QIDQ3786105

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Publication date: 1988

Published in: The Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://resolver.caltech.edu/CaltechAUTHORS:MOOpof88

zbMATH Keywords

nonlinear integral equationsvortex sheetsBatchelor flowsbounding vortex sheetSadovskii vortexSteady inviscid incompressible two-dimensional flows

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Basic methods in fluid mechanics (76M99)

Related Items (24)

Structure and stability of hollow vortex equilibria ⋮ High-Reynolds-number asymptotics of the steady flow through a row of bluff bodies ⋮ A trial-free-boundary method for computing Batchelor flows ⋮ Massive vortex motion in the presence of solid boundaries ⋮ Steady inviscid rotational flows with free surfaces ⋮ Thermally driven flows at low Prandtl numbers: An extension of the Prandtl-Batchelor theorem ⋮ The Sadovskii vortex in strain ⋮ Some observations regarding steady laminar flows past bluff bodies ⋮ Coupled Batchelor flows in a confined cavity ⋮ Inviscid Batchelor-model flow past an airfoil with a vortex trapped in a cavity ⋮ Steady Prandtl-Batchelor flows past a circular cylinder ⋮ Dipole and multipole flows with point vortices and vortex sheets ⋮ The effect of gravity on flow past a semi-circular cylinder with a constant pressure wake ⋮ On continuation of inviscid vortex patches ⋮ Models for high-Reynolds-number flow down a step ⋮ Steady buoyant droplets with circulation ⋮ A steady separated viscous corner flow ⋮ Eroding dipoles and vorticity growth for Euler flows in : axisymmetric flow without swirl ⋮ Stratified Sadovskii flow in a channel ⋮ Prandtl–Batchelor flow in a channel ⋮ Inviscid drops with internal circulation ⋮ Constant vorticity Riabouchinsky flows from a variational principle ⋮ Density-stratified Sadovskii flow in a channel ⋮ Rotating equilibria of vortex sheets

Cites Work

• Numerical Evidence for the Existence of New Types of Gravity Waves of Permanent Form on Deep Water

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