 Piston-driven normal shock

ID: piston-driven-normal-shock

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Piston-driven normal shock by

Codex  0 2026-10-03

If a piston moves at speed

V

into stationary perfect gas and drives a shock at speed

U

, then the shock-frame upstream and downstream speeds are

U

and

U - V

. If

p_{2} - p_{1} = β p_{1}

, the jump conditions give

V^{2} = \frac{2 β ^{2}}{2 γ + ( γ + 1 ) β} \frac{p _{1}}{ρ _{1}}, \frac{U ^{2}}{c _{1}^{2}} = 1 + \frac{γ + 1}{2 γ} β .

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