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Hans Moritz Günther edited our_equations.tex
over 9 years ago
Commit id: a704789e36ca83cfe91cdf6ee7ad98fbf683325f
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\label{eqn:RH3}\frac{5 P_0}{2\rho_0}+\frac{v_0^2}{2}& = &\frac{5 P_1}{2\rho_1}+\frac{v_1^2}{2} \ .
\end{eqnarray}
We assume that the stellar wind before the shock front is relatively cool
\textbf{(this assumption is justified in Section~\ref{sect:T_0})} and thus the thermodynamic pressure can be neglected, setting $P_0=0$.
The shock front settles at a position where the pressure of the stellar wind equals the post-shock pressure, which in turn determines the position of the contact discontinuity, such that the post-shock pressure equals the confining external pressure of the disk wind $P(z)$ .
In our case we are dealing with an oblique shock (Figure~\ref{fig:sketch}). Equations~\ref{eqn:RH1} to \ref{eqn:RH3} stay valid if only the velocity component perpendicular to the shock front is taken as $v_0$.