this is for holding javascript data
Daniel D'Orazio edited untitled.tex
over 9 years ago
Commit id: 881911eff37d4b30e0307ed4de79b5d100a328ca
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\end{equation}
Now we can rewrite (\ref{dP_ad}) and (\ref{dP_iso}) in terms of the disk Mach number
\begin{equation}
\int{\frac{dP}{\rho}} = \frac{\gamma}{\gamma -1}
\frac{mathcal{M}^2 }{v_K} \frac{\mathcal{M}^2 }{v^2_K} \quad \rm{Adiabatic} \ \rm{Flow}
\end{equation}
\begin{equation}
\int{\frac{dP}{\rho}} =
(c^{\rm{iso}}_{s})^2 \frac{\mathcal{M}^s}{v^2_K} \ln{\frac{\rho}{\rho_0}} \quad \rm{Isothermal} \ \rm{Flow}
\end{equation}