Rankine-Hugoniot conditions for a perfect gas
= Rankine-Hugoniot conditions for a perfect gas
{c}
= Perfect-gas shock jump conditions
{synonym}
In the rest frame of a one-dimensional shock, states with velocities $w_0,w_1$ satisfy
$$
\rho_0w_0=\rho_1w_1,
$$
$$
p_0+\rho_0w_0^2=p_1+\rho_1w_1^2,
$$
and
$$
\frac{\gamma p_0}{(\gamma-1)\rho_0}+\frac12w_0^2
=\frac{\gamma p_1}{(\gamma-1)\rho_1}+\frac12w_1^2.
$$
These are the <Rankine-Hugoniot conditions> specialized to the mass, momentum and energy fluxes of a <perfect gas>.