An inviscid flow is bounded by a wavy wall at y = H and a plane wall at y = 0. The stream function is ψ = A (e−ky − eky) sin kx, where A and k are constants. (a) Does the flow satisfy the continuity equation? (b) Is the flow rotational or irrotational? (c) Find the pressure distribution on the plane wall surface, given that p = 0 at [0, 0].
An inviscid flow is bounded by a wavy wall at y = H and a plane wall at y = 0. The stream function is ψ = A (e−ky − eky) sin kx, where A and k are constants. (a) Does the flow satisfy the continuity equation? (b) Is the flow rotational or irrotational? (c) Find the pressure distribution on the plane wall surface, given that p = 0 at [0, 0].
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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An inviscid flow is bounded by a wavy wall at y = H and a plane wall at y = 0. The stream function is ψ = A (e−ky − eky) sin kx, where A and k are constants.
(a) Does the flow satisfy the continuity equation?
(b) Is the flow rotational or irrotational?
(c) Find the pressure distribution on the plane wall surface, given that p = 0 at [0, 0].
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