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Relates pressure drop $\begin{array}{l}p_{out} - p_{in}\end{array}$ on the choke with the flowrate through the choke $\begin{array}{l}q\end{array}$ arising from fluid friction with choke elements:

(1)	$\begin{array}{l}\displaystyle p_{in} - p_{out} = \frac{\rho \cdot (1- \beta^4)}{0.125 \, \pi^2 \, d^4 \, C_d^2} \cdot q^2\end{array}$

where

$\begin{array}{l}\rho\end{array}$	fluid density
$\begin{array}{l}d\end{array}$	orifice diameter
$\begin{array}{l}D\end{array}$	pipe diameter
$\begin{array}{l}\beta = \frac{d}{D}\end{array}$	choke narrowing ratio
$\begin{array}{l}C_d\end{array}$	discharge coefficient

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Pipeline Choke @model

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