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The most popular engineering correlation covering all ISO 5167 tapping arrangements is given by Discharge coefficient:

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C_d = C_{d\infnty}(\beta) + \frac{b(\beta)}{{\rm Re}^n}


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See also

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Physics / Fluid Dynamics / Pipe Flow Dynamics / Pipe Flow Simulation (PFS) / Pipeline Choke @model

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https://neutrium.net/fluid_flow/discharge-coefficient-for-nozzles-and-orifices/


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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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