A ratio between compressible fluid volumetric flowrate and incompressible fluid volumetric flowrate through the ideal orifice:

C_d = \frac{q_{\rm compressible}}{q_{\rm incompressible}}

where

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

and

pressure drop on the choke

choke narrowing ratio

orifice diameter

pipe diameter 


See also


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

Pipeline Engineering / Pipeline / Choke