# Pressure Coefficient

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

## Pressure Coefficient formula

\(\large{ C_p = \frac { p \;-\; p_{\infty} } { \frac {1}{2} \; \rho_{\infty} \; v_{\infty}^2 } }\) |

### Where:

\(\large{ C_p }\) = pressure coefficient

\(\large{ p }\) = pressure

\(\large{ p_{\infty} }\) = free stream pressure

\(\large{ \rho _{\infty} }\) (Greek symbol rho) = free stream density

\(\large{ v_{\infty} }\) = free stream velocity