GLOSSARY

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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 

LaTeX Math Inline
body{\rm Re}

Reynolds number


The deviation from ideal estimation 

LaTeX Math Block Reference
anchorq_ideal
 arise from fluid friction with choke elements and possible flow turbulence.


The  is discharge coefficient 

LaTeX Math Inline
bodyC_d
 is a function of and http://nafta.wiki/x/ioJEAga choke narrowing ratio 
LaTeX Math Inline
body\beta
and Reynolds number 
LaTeX Math Inline
body{\rm Re}
:

LaTeX Math Block
anchorRGN2Q
alignmentleft
C_d = C_d(\beta, {\rm Re})

It can be estimated for popular choke types or tabulated in laboratory.



LaTeX Math Block
anchorC_D
alignmentleft
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 ]

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