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

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LaTeX Math Inline
body\Delta p

pressure drop on the choke

LaTeX Math Inline
body\Delta p = p_{in} - p_{out}

LaTeX Math Inline
body\beta = \frac{d}{D}

choke narrowing ratio

LaTeX Math Inline
bodyd

orifice diameter

LaTeX Math Inline
bodyD

pipe diameter 


For incompressible fluids (water and most types of oil) the expansion factor is 

LaTeX Math Inline
body\epsilon = 1
.

See also

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

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