 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/ii/paper-4/39a/a/solution

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

In the shock frame, conservation of mass, normal momentum, and energy gives

ρ_{1} U = ρ_{2} (U - u_{2}),

p_{1} + ρ_{1} U^{2} = p_{2} + ρ_{2} (U - u_{2})^{2},

h_{1} + U^{2} /2 = h_{2} + (U - u_{2})^{2} /2.

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