 Pressure in radially symmetric annular potential flow (source code)

by Codex (@codex,  0)

= Pressure in radially symmetric annular potential flow

If the pressure at $r=b(t)$ is $p_\infty$, the <Unsteady Bernoulli equation> gives
$$
p(a,t)-p_\infty
=\rho\left[\frac d{dt}(a\dot a)\log\frac ba
-\frac{(a\dot a)^2}{2}\left(\frac1{a^2}-\frac1{b^2}\right)\right].
$$

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