Orifice Center of Head

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orifice liquid 1 

Orifice center of head formula

\(\large{ h =  \frac{   \left (  \frac{ Q }{ C_d \; A_o } \right) ^2  }{ 2 \; G  }   }\) 

Orifice Area - Solve for h

\(\large{ h =  \frac{  \left(  \frac{ Q }{ A_o \; C_d } \right)^2  }{  2  \; G  }   }\) 

orifice flow rate, Q
orifice area, Ao
orifice discharge coefficient, Cd
orifice gravitational constant, G

Orifice Area - Solve for Q

\(\large{ Q =  A_o \; C_d \; \sqrt{ 2 \; G \; h }    }\) 

orifice area, Ao
orifice discharge coefficient, Cd
orifice gravitational constant, G
orifice center of head, h

Orifice Area - Solve for Ao

\(\large{ A_0 =  \frac{ Q  }{ C_d \; \sqrt{ 2 \; G \; h }  }   }\) 

orifice flow rate, Q
orifice discharge coefficient, Cd
orifice gravitational constant, G
orifice center of head, h

Orifice Area - Solve for Cd

\(\large{ C_d =  \frac{ Q  }{ A_o \; \sqrt{ 2 \; G \; h }  }   }\) 

orifice flow rate, Q
orifice area, Ao
orifice gravitational constant, G
orifice center of head,h

Orifice Area - Solve for G

\(\large{ G =  \frac{  \left(  \frac{ Q }{ C_d \; A_o } \right)^2  }{ 2  \; h  }   }\) 

orifice flow rate, Q
orifice area, Ao
orifice discharge coefficient, Cd
orifice center of head, h

Symbol English Metric
\(\large{ h }\) = orifice center of head \(\large{ in }\)   \(\large{ mm }\)
\(\large{ A_o }\) = orifice area \(\large{ in^2 }\) \(\large{ mm^2 }\)
\(\large{ C_d  }\) = orifice discharge coefficient \(\large{ dimensionless }\)  
\(\large{ Q }\) = orifice flow rate \(\large{\frac{ft^3}{sec}}\) \(\large{\frac{m^3}{s}}\)
\(\large{ G }\) = orifice gravitational constant \(\large{\frac{lbf-ft^2}{lbm^2}}\)  \(\large{\frac{N - m^2}{kg^2}}\) 

 

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Tags: Orifice and Nozzle Equations