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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/ib/paper-1/16d/ii/solution

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Past exam of the mathematics course of the University of Cambridge / 2025 / ib / Paper 1 / 16D / ii / Solution by

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

Take the downstream tissue pressure as gauge zero. The two transverse momentum fluxes cancel. The force of the fluid on the junction is axial and equals

F = [A (p_{up} - p_{down}) + ρq (U - v cos α)] e_{x},

(1)

where

U = q / A

v = q / (2 a)

and the pressure difference is that in part (i).

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