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q_{\rm incompressible} = \frac{\pi d^2}{4} \cdot \sqrt{\frac{2 \cdot \Delta p}{\rho \cdot (1-\beta^4)}} |
and
| pressure drop on the choke,
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| chokeorifice narrowing ratio | ||||||||
| orifice diameter | ||||||||
| pipe diameter |
For incompressible fluids and slightly compressible fluid (water and most types of oil) the expansion factor is
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For compressible fluids Strongly Compressible Fluid (condensate, steam and gases) the expansion factor is
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The most popular engineering correlation covering various tapping arrangements is given by ISO5167:
&11 =1-(0.41+0.35~ )-.
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\epsilon = 1 - (0.351 + 0.256 \, \beta^4+ 0.93 \, \beta^8) \cdot \left[ 1 - \left( \frac{p_{out}}{p_{in}} \right)^{1/\kappa} \, \right] |
where
| intake pressure | ||||
| discharge pressure | ||||
| orifice narrowing ratio | ||||
| Isentropic exponent (κ), in express analysis can be taken as ~ 1.3 |
See also
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Physics / Fluid Dynamics / Pipe Flow Dynamics / Pipe Flow Simulation (PFS) / Pipeline Choke @model
[ Orifice Plate Discharge Coefficient ]Pipeline Engineering / Pipeline / Choke