The function , is a complex potential of a two-dimensional fluid flow.
(a) Assume A = 1. Determine the potential function φ(x, y) and stream function ψ(x, y) of the flow.
(b) Express the potential function φ and stream function ψ in terms of polar coordinates.
(c) Use a CAS or graphing software to plot representative curves from each of the orthogonal families φ(r, θ) = c1 and ψ(r, θ) = c2 on the same coordinate axes.
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