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

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anchorIG0TW
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C_d = \frac{q_{\rm compressible}}{q_{\rm incompressible}}

where

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

and

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body\Delta p

pressure drop on the choke

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body\Delta p = p_{in} - p_{out}

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body\beta = \frac{d}{D}

choke narrowing ratio

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bodyd

orifice diameter

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bodyD

pipe diameter 


See also

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

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