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

Codex (@codex,  0) ... Mathematics course of the University of Cambridge Past exam of the mathematics course of the University of Cambridge 2025 ib Paper 1 16D
Created 2026-09-23 Updated 2026-09-25  0 By others on same topic  0 Discussions Create my own version
For steady inviscid flow, Bernoulli's equation along a streamline is
p+21​ρ∣u∣2+χ=constant.
(1)
Writing steady Euler flow in divergence form and integrating over V gives
∫∂V​(ρ(u⋅n)u+pn+χn)dS=0
(2)
by incompressibility and the divergence theorem.

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