A ratio between real mass flow through the orifice and ideal theoretical estimation:

C_d = \frac{q_{\rm real}}{q_{\rm ideal}}

where

q_{\rm ideal}=\pi d^2}{4} \cdot \sqrt{\frac{1 \cdot \Delta p}{\rho \cdot (1-\beta^4)}}


and

pressure drop on the choke

choke narrowing ratio

orifice diameter

pipe diameter 

Reynolds number


C_d = \frac{d_D}{d} + 0.3167 \cdot \left( \frac{d}{d_D} \right)^{0.6} + 0.025 \cdot \big [ \log {\rm Re} - 4 \big ]



See also


Physics / Fluid Dynamics / Pipe Flow Dynamics / Pipe Flow Simulation (PFS) / Pipeline Choke @model

Pipeline Engineering / Pipeline / Choke