pressure drop on the choke,
A ratio between actual volumetric flowrate through the orifice and ideal theoretical estimation:
C_d = \frac{q_{\rm real}}{q_{\rm ideal}} |
where
q_{\rm ideal}=\frac{\pi d^2}{4} \cdot \sqrt{\frac{1 \cdot \Delta p}{\rho \cdot (1-\beta^4)}} |
and
pressure drop on the choke, | |
| choke narrowing ratio | |
| orifice diameter | |
| pipe diameter | |
| Reynolds number |
The deviation from ideal estimation arise from fluid friction with choke elements and possible flow turbulence.
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 ] |
Physics / Fluid Dynamics / Pipe Flow Dynamics / Pipe Flow Simulation (PFS) / Pipeline Choke @model
Pipeline Engineering / Pipeline / Choke