Mathematical Methods in the Physical Sciences · Problem 10.7

FUNCTIONS OF A COMPLEX VARIABLE — Mary Boas

Mathematics — Methods · fluid-flow-right-angle-boundary

Problem

Use the mapping function w=z2w = z^2 to find the streamlines for the flow of water around the inside of a right-angle boundary. Find the velocity potential Φ\Phi, the stream function Ψ\Psi, and the velocity V=∇Φ\mathbf{V} = \nabla\Phi.

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