# Discharge Coefficient

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

Discharge coefficient (also called coefficient of discharge) is the ratio of actual discharge to the theoretical discharge.

### Discharge Coefficient Formula

$$\large{ C_d = \frac { \dot m_f } { \rho Q } }$$

Where:

$$\large{ C_d }$$ = discharge coefficient

$$\large{ \dot m_f }$$ = mass flow rate

$$\large{ \rho }$$  (Greek symbol rho) = density of the fluid

$$\large{ Q }$$ = volumetric flow rate