 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ib/paper-3/16c/d/solution

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

The vorticity is normal to the plane, so the stretching term vanishes. Axisymmetry also makes angular advection vanish, and part (a) gives no radial advection. Hence the scalar vorticity equation is the radial diffusion equation

\frac{\partial ω}{\partial t} = ν (\frac{\partial ^{2} ω}{\partial r ^{2}} + \frac{1}{r} \frac{\partial ω}{\partial r}) .

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