 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ib/paper-3/7c/b/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

For a two-dimensional incompressible flow, the stream function convention

u_{r} = \frac{1}{r} \frac{\partial ψ}{\partial θ}, u_{θ} = - \frac{\partial ψ}{\partial r}

is satisfied by

ψ (r, θ) = \frac{d sin θ}{r} + C .

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