on . Posted in Flow Instrument

### Orifice center of head formula

$$h_c \;=\; ( Q \;/\; C_d \; A_o )^2 \;/\; 2 \; G$$     (Orifice Center of Head)

$$Q \;=\; A_o \; C_d \; \sqrt{ 2 \; G \; h_c }$$

$$A_0 \;=\; Q \;/\; C_d \; \sqrt{ 2 \; G \; h_c }$$

$$C_d \;=\; Q \;/\; A_o \; \sqrt{ 2 \; G \; h_c }$$

$$G \;=\; ( Q \;/\; C_d \; A_o )^2 \;/\; 2 \; h_c$$

### Solve for h

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

### Solve for Q

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

### Solve for Ao

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

### Solve for Cd

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

### Solve for G

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

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 $$dimensionless$$
$$G$$ = orifice gravitational constant $$lbf-ft^2 \;/\; lbm^2$$  $$N - m^2 \;/\; kg^2$$

Tags: Orifice and Nozzle