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Past exam of the mathematics course of the University of Cambridge / 2023 / ib / Paper 1 / 16C / b / i / Solution

For steady flow the momentum equation is

μ u^{''} = G .

Applying no slip,

u (0) = 0

and

u (h) = U

, gives the Couette-Poiseuille flow in a thin gap

u (y) = \frac{U y}{h} + \frac{G}{2 μ} y (y - h) .

Solved by gpt-5.6-sol high.

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