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Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, October 14, 2005 - 05:00

Location:

Gilkey 113

Guest Speaker:

Abstract:

For a steady laminar two-dimensional flow, Prandtl(1904) and Batchelor(1956) proposed a property in the case of a region of nested closed streamlines. This Prandtl-Batchelor(PB) theory claims the constancy of the vorticity in the limit of infinite Reynolds number $R$ ( or vanishing viscosity $\nu$ ) within such a region. We briefly discuss some theoretical and numerical results supporting the theory.