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A VORTICITY MODEL FOR VISCOUS FLOW PAST A CYLINDER

By S. J. D. D&apos and S. C. R. Dennis

Abstract

A~tract--A mathematical model is proposed for the steady two-dimensional flow of a viscous incompressible fluid past a cylinder which incorporates the details of the structure of the vorticity in this case where its behaviour is known. The model is constructed to be consistent both with boundary-layer theory for sutficiently large Reynolds numbers and with the asymptotic solution at large distances from the cylinder. The governing Navier-Stokes equations are transformed to a set of equations which we refer to as the modified Navier-Stokes equations and are then solved numerically. Solutions have been obtained for the cases of flow past a stationary and a rotating circular cylinder and flow past an inclined elliptic cylinder. Good agreement is found with existing results. 1

Year: 1993
OAI identifier: oai:CiteSeerX.psu:10.1.1.135.4446
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