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Isotharmal shock

In the case of the gas is isothermal $p=c_{is}^2\rho$, equation (A.31) becomes

\end{displaymath} (A.32)

Eliminating $\rho$ from equations (A.29) and (A.32), we obtain
\end{displaymath} (A.33)

which means
\end{displaymath} (A.34)

From equation (A.29),
\end{displaymath} (A.35)

This indicates the postshock velocity $u_1 \gg c_s$ the ratio of the postshock density to the preshock density becomes large.

Kohji Tomisaka 2007-07-08