The calculation of some Batchelor flows: The Sadovskii vortex and rotational corner flow
Steady, inviscid, incompressible, two‐dimensional flows with vortex patches bounded by vortex sheets (Batchelor flows) are calculated numerically. Two particular cases are considered: the vortex on a plane wall (Sadovskii vortex) and the vortex in a right‐angled corner. Nonlinear integral equations...
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| Veröffentlicht in: | Phys. Fluids; (United States) 1988-05, Vol.31 (5), p.978-990 |
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| container_issue | 5 |
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| container_title | Phys. Fluids; (United States) |
| container_volume | 31 |
| creator | Moore, D. W. Saffman, P. G. Tanveer, S. |
| description | Steady, inviscid, incompressible, two‐dimensional flows with vortex patches bounded by vortex sheets (Batchelor flows) are calculated numerically. Two particular cases are considered: the vortex on a plane wall (Sadovskii vortex) and the vortex in a right‐angled corner. Nonlinear integral equations are derived for the shape of the bounding vortex sheet which are solved numerically. Two different formulations are employed to check the results. Previous results by Sadovskii [Appl. Math. Mech. 3
5, 773 (1971)] and Chernyshenko (Royal Aircraft Establishment library translations Report No. 2133, 1983) for specific values of the parameters are confirmed. Only symmetrical solutions are found to exist. |
| doi_str_mv | 10.1063/1.866718 |
| format | Article |
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| ispartof | Phys. Fluids; (United States), 1988-05, Vol.31 (5), p.978-990 |
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| subjects | 640410 - Fluid Physics- General Fluid Dynamics CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY EQUATIONS Exact sciences and technology Fluid dynamics FLUID FLOW Fundamental areas of phenomenology (including applications) IDEAL FLOW INCOMPRESSIBLE FLOW INTEGRAL EQUATIONS LAMINAR FLOW MOTION NONLINEAR PROBLEMS NUMERICAL SOLUTION Physics ROTATION Rotational flow and vorticity STEADY-STATE CONDITIONS VORTICES |
| title | The calculation of some Batchelor flows: The Sadovskii vortex and rotational corner flow |
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