Pressure Coefficient

Pressure coefficient, abbreviated as \(C_p\), 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:

Units	English	Metric
\(\large{ C_p }\) = pressure coefficient	\(\large{dimensionless}\)
\(\large{ p }\) = pressure	\(\large{\frac{lbf}{in^2}}\)	\(\large{Pa}\)
\(\large{ p_{\infty} }\) = free stream pressure	\(\large{\frac{lbf}{in^2}}\)	\(\large{Pa}\)
\(\large{ \rho _{\infty} }\)  (Greek symbol rho) = free stream density	\(\large{\frac{lbm}{ft^3}}\)	\(\large{\frac{kg}{m^3}}\)
\(\large{ v_{\infty}  }\) = free stream velocity	\(\large{\frac{ft^3}{sec}}\)	\(\large{\frac{m^3}{s}}\)