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4 Inviscid Flow past Cylinder. For inviscid, irrotational flow, we find the streamfunction satisfies v2y = 0. In polar coordinates (notes p91) the Laplace's equation
4 Inviscid Flow past Cylinder. For inviscid, irrotational flow, we find the streamfunction satisfies v2y = 0. In polar coordinates (notes p91) the Laplace's equation is written: = V24 a4 1 1 1 024 + + = 0 rar r2 202 ar2 For inviscid flow past a cylinder, the lecture notes gave a solution = U sin (-4) r- n 1 av The velocity components are given by Ur =- uo = which give ran ar Ur = Ucos e a2 1- r2 ; Ue = -U sino 1+ r2 (1+) Given the specified function , substitute in and verify that this satisfies the Laplace's equation
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