Water Flow Rate Through an Orifice

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

 orifice 1Water Flow Rate Through an Orifice formula

\(\large{ Q_w = 0.0865 \; C_d  \left(  \frac{d_o}{4.654 } \right)^2  \; \sqrt { \frac{ p_1 \;-\; p_2 }{ SG }  }   }\)   

Where:

 Units English Metric
\(\large{ Q_w }\) = water flow rate \(\large{\frac{ft^3}{sec}}\) \(\large{\frac{m^3}{s}}\)
\(\large{ d_o }\) = diameter of orifice \(\large{ in }\) \(\large{ mm }\)
\(\large{ C_d }\) = orifice discharge coefficient \(\large{dimensionless}\)
\(\large{ p_1 }\) = primary pressure \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ p_2 }\) = secondary pressure \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ SG }\) = specific gravity of water \(\large{dimensionless}\)

 

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Tags: Flow Equations Water Equations Orifice and Nozzle Equations