 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/ii/paper-3/38c/a/solution

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

With streamwise and normal velocities

u, v

u_{x} + v_{y} = 0, u u_{x} + v u_{y} = ν u_{yy} .

v (x, 0) = 0, ρ ν u_{y} (x, 0) = S x^{- 1/2},

and matching to the quiescent exterior requires

u (x, y) \to 0

y \to \infty

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