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LaTeX Math Block |
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anchor | q_ideal |
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alignment | left |
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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, LaTeX Math Inline |
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body | \Delta p = p_{in} - p_{out} |
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|
|
| orifice narrowing ratio |
| orifice diameter |
| pipe diameter |
For incompressible fluids and slightly compressible fluid (water and most types of oil) the expansion factor is
.
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:
LaTeX Math Block |
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anchor | \epsilon |
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alignment | left |
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\epsilon = 1 - (0.41351 + 0.35256 \, \beta^4+ 0.93 \, \beta^8) \cdot \left[ 1 - \left( \frac{\Delta p}{\kappa \cdot p_{out}}{p_{out}}{p_{in}} \right)^{1/\kappa} \, \right] |
where
\Delta p | pressure drop on the orifice | intake pressure |
| discharge pressure |
| orifice narrowing ratio |
|
Adiabatic Index (isentropic expansion factor) | isentropic exponen
See also
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Physics / Fluid Dynamics / Pipe Flow Dynamics / Pipe Flow Simulation (PFS) / Pipeline Choke @model
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Pipeline Engineering / Pipeline / ChokePipeline Engineering / Pipeline / Choke