# Pressure Coefficient

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

## Pressure Coefficient

Pressure coefficient ( $$C_p$$ ) (dimensionless number) is about the relative pressures throughout a flow field in fluid mechanics.

### Pressure Coefficient FORMULA

$$C_p = \frac { p \;-\; p_{\infty} } { \frac {1}{2} \rho_{\infty} v_{\infty}^2 } \;$$          $$pressure \; coefficient \;=\; \frac { free \; steam \; pressure \;-\; free \; steam \; density } { \frac {1}{2} \;\;x\;\; free \; steam \; density \;\;x\;\; free \; steam \; velocity^2 } \;$$

Where:

$$p$$ = pressure

$$C_p$$ = pressure coefficient

$$p_{\infty}$$ = free stream pressure

$$\rho _{\infty}$$ = free stream density

$$v_{\infty}$$ = free stream velocity