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

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

where

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q_{\rm ideal}=\pi d^2}{4} \cdot \sqrt{\frac{1 \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 

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body{\rm Re}

Reynolds number


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

where

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

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bodyd

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bodyD

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body{\rm Re}

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See also

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

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