Pressure Coefficient

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

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 \(\large{\frac{ft^3}{sec}}\)  \(\large{\frac{m^3}{s}}\) 

 

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Tags: Pressure Equations Coefficient Equations