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.