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 Fluid is withdrawn with a uniform velocity V through the plate.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)