Single-phase liquid flow through choke

Input(s)

$C_{d}$: Upstream Pressure at Choke (psi)

A: Choke Area $\left(\mathrm{ft}^{2}\right)$

$g_{c}$: Unit Conversion Factor $($ Constant $=32.17)\left(\mathrm{lb} \mathrm{ft} / \mathrm{lbf} \mathrm{s}^{2}\right)$

$\Delta P$: Pressure Drop $\left(\mathrm{lbf} / \mathrm{ft}^{2}\right)$

$\rho$ : Fluid Densty $\left(\mathrm{lbm} / \mathrm{ft}^{3}\right)$

Output(s)

$q$ : Flow Rate $\left(\mathrm{ft}^{3} / \mathrm{s}\right)$

Formula(s)

$$ q=C_{d} * A *\left(2 * g_{c} * \frac{\Delta P}{\rho}\right)^{0.5} $$

Reference(s)

Boyun, G., William, C., \& Ali Ghalambor, G. (2007). Petroleum Production Engineering: A Computer-Assisted Approach, Page: 5.