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Orifice Center of Head

 

Orifice center of head formula

\( h_c \;=\;  \dfrac{   \left( \dfrac{ Q }{ C_d \cdot A_o} \right)^2  }{ 2 \cdot G  }\)     (Orifice Center of Head)

\( Q \;=\; A_o \cdot C_d \cdot \sqrt{ 2 \cdot G \cdot h_c }  \) 

\( A_0 \;=\;  \dfrac{ Q  }{ C_d \cdot \sqrt{ 2 \cdot G \cdot h_c }  }\) 

\( C_d \;=\;  \dfrac{ Q  }{ A_o \cdot \sqrt{ 2 \cdot G \cdot h_c }  }\) 

\( h_c \;=\;  \dfrac{   \left( \dfrac{ Q }{ C_d \cdot A_o} \right)^2  }{ 2 \cdot h_c  }\)

Symbol English Metric
\( h_c \) = Orifice Center of Head \( in \)   \( mm \)
\( Q \) = Orifice Flow Rate \(ft^3 \;/\; sec\) \(m^3 \;/\; s\)
\( A_o \) = Orifice Area \(in^2 \) \( mm^2 \)
\( C_d  \) = Orifice Discharge Coefficient \( dimensionless \) \( dimensionless \)
\( G \) = Orifice Gravitational Constant \(lbf-ft^2 \;/\; lbm^2\)  \(N - m^2 \;/\; kg^2\) 

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