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Water Flow Rate Through an Orifice

 

Water Flow Rate Through an Orifice formula

\( Q_w \;=\; 0.0865 \cdot C_d \cdot \left( \dfrac{d_o}{4.654} \right)^2  \cdot \sqrt{  \dfrac{ p_1 - p_2 }{ SG}  } \) 
Symbol English Metric
\( Q_w \) = Water Flow Rate \(ft^3\;/\;se\) \(m^3\;/\;s\)
\( C_d \) = Orifice Discharge Coefficient \(dimensionless\) \(dimensionless\)
\( d_o \) = Orifice Diameter \( in \) \( mm \)
\( p_1 \) = Primary Pressure \(lbf\;/\;in^2\) \(Pa\)
\( p_2 \) = Secondary Pressure \(lbf\;/\;in^2\) \(Pa\)
\( SG \) = Water Specific Gravity \(dimensionless\) \(dimensionless\)

 orifice 1

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