Process Plant Layout, 2nd Edition

Table B.6

Discharge Rates

Gas (Subsonic)
Condition	$\frac{P_{\text{a}}}{P_{\text{o}}}>{\left(\frac{2}{1+\gamma }\right)}^{\gamma /\left(\gamma -1\right)}$
Discharge temperature	$T=T_{\text{o}}{\left(\frac{P_{\text{a}}}{P_{\text{o}}}\right)}^{\left(\gamma -1\right)/\gamma }$
Discharge density	$\rho =\frac{P_{\text{a}}M}{\mathit{RT}}$
Discharge velocity	$u={c_{\text{D}}\left[\frac{2\gamma R\prime }{\left(\gamma -1\right)M}\left(T_{\text{o}}-T\right)\right]}^{1/2}$
Mass flow	$G=\frac{\pi D_{\text{L}}^2}{4}\rho u$
Time when fraction Ψ remaining	$\begin{array}{c}t=\frac{W}{G}\end{array}$