Derive the prandtl-batchelor theorem

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Prandtl-Batchelor theorem for axisymmetric flow

Derive the Prandtl-Batchelor theorem for axisymmetric flow with negligible viscous forces where the ratio ω?/σ is constant along a streamline.

Flow over a porous plate with suction

Consider uniform flow with velocity U far above and parallel to a porous plate. Fluid is withdrawn with a uniform velocity V through the plate. Show that the velocity field is given by

ux = U (1 - e-yV/ν ), uy = V. (3.13.29)

Reference no: EM13929308

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