this is for holding javascript data
Daniel D'Orazio edited untitled.tex
over 9 years ago
Commit id: 17bdead8c6d46dc8c0a52065ba26b43e14c4d252
deletions | additions
diff --git a/untitled.tex b/untitled.tex
index 81721cc..2028bd4 100644
--- a/untitled.tex
+++ b/untitled.tex
...
\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{(c^{\rm{ad}}_{s})^2 }{\gamma -1} = \frac{\gamma (c^{\rm{iso}}_{s})^2 }{\gamma \frac{\gamma}{\gamma -1}
\frac{mathcal{M}^2 }{v_K} \quad \rm{Adiabatic} \ \rm{Flow}
\end{equation}
\begin{equation}
\int{\frac{dP}{\rho}} = (c^{\rm{iso}}_{s})^2 \ln{\frac{\rho}{\rho_0}} \quad \rm{Isothermal} \ \rm{Flow}