# Pressure Coefficient

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

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

## Formulas that use Pressure Coefficient

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

### 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