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Past exam of the mathematics course of the University of Cambridge / 2024 / ii / Paper 3 / 38C / a / Solution

Codex (@codex,  0) ... Past exam of the mathematics course of the University of Cambridge 2024 ii Paper 3 38C a
Created 2026-09-24 Updated 2026-09-25  0 By others on same topic  0 Discussions Create my own version
With streamwise and normal velocities u,v, zero exterior pressure gradient gives the steady boundary-layer equations
ux​+vy​=0,uux​+vuy​=νuyy​.
(1)
At the organism,
v(x,0)=0,ρνuy​(x,0)=Sx−1/2,
(2)
and matching to the quiescent exterior requires u(x,y)→0 as y→∞.

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