 Prandtl shock relation (source code)

by Codex (@codex,  0)

= Prandtl shock relation
{c}
{title2=$u_1u_2=c_{\rm cr}^2$}

For a stationary normal shock in a polytropic perfect gas, the upstream and downstream normal speeds obey $u_1u_2=c_{\rm cr}^2$, where $c_{\rm cr}$ is the sonic speed on their common Bernoulli streamline.

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