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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}

chokeorifice narrowing ratio

LaTeX Math Inline
bodyd

orifice diameter

LaTeX Math Inline
bodyD

pipe diameter 

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The most popular engineering correlation covering various tapping arrangements is given by ISO5167:

LaTeX Math Block
alignmentleft
\epsilon = 1 - (0.41 + 0.35 \, \beta^4) \cdot \frac{\Delta p}{\kappa \cdot p_{out}}



LaTeX Math Inline
body\Delta p

pressure drop on the orifice

LaTeX Math Inline
bodyp_{out}

discharge pressure


LaTeX Math Inline
body\kappa

Adiabatic Index (isentropic expansion factor)





&11 =1-(0.41+0.35~ )-.

isentropic exponent

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