Table 1.

Specific empirical coefficient correlations proposed for liquid flow through oilfield chokes.

Author	Formula	Coefficient
Gilbert7	$QL=a1\frac{P_{\mathit{wh}}^{a2}{D}_c^{a3}}{{\mathit{GLR}}^{a4}}$	a1 = 0.1; a2 = 1; a3 = 1.89; a4 = 0.546
Ros13	$QL=a1\frac{P_{\mathit{wh}}^{a2}{D}_c^{a3}}{{\mathit{GLR}}^{a4}}$	a1 = 0.05747; a2 = 1; a3 = 2; a4 = 0.5
Achong9	$QL=a1\frac{P_{\mathit{wh}}^{a2}{D}_c^{a3}}{{\mathit{GLR}}^{a4}}$	a = 0.26178; a2 = 1; a3 = 1.88; a4 = 0.65
Pilehvari11	$QL=a1\frac{P_{\mathit{wh}}^{a2}{D}_c^{a3}}{{\mathit{GLR}}^{a4}}$	a1 = 0.021427; a2 = 1; a3 = 2.11; a4 = 0.313
Beiranvand et al.14	$QL=a1\frac{P_{\mathit{wh}}^{a2}{D}_c^{a3}}{{\mathit{GLR}}^{a4}}$	a1 = 0.0382; a2 = 1; a3 = 2.275; a4 = 0.589
Al-Attar16	$QL=a1\frac{P_{\mathit{wh}}^{a2}{D}_c^{a3}}{{\mathit{GLR}}^{a4}}$	a1 = 0.016266; a2 = 0.831; a3 = 1.63; a4 = 0.471
Mirzaei-Paiamann et al.12	$QL=a1\frac{P_{\mathit{wh}}^{a2}{D}_c^{a3}{\gamma }_o^{a4}{\gamma }_g^{a5}}{{\mathit{GLR}}^{a6}}$	a1 = 0.052439; a2 = 1; a3 = 1.9108; a4 = 0.3988; a5 = 0.1711; a6 = 0.5220
Baxendell13	$QL=a1\frac{P_{\mathit{wh}}^{a2}{D}_c^{a3}}{{\mathit{GLR}}^{a4}}$	a1 = 0.1046; a2 = 1; a3 = 1.93; a4 = 0.546