Poiseuille's Equation for Compressible Fluids

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

Poiseuille's Velocity Equation for Compressible Fluids formula

\(\large{ v = \frac{ r^2 }{ 16 \; \eta \; l } \;  \frac{ p_1^2 \;-\; p_2^2 }{ p_1 } }\)   

Where:

 Units English Metric
\(\large{ v }\) = velocity of fluid \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)
\(\large{ l }\) = length of tube \(\large{ft}\) \(\large{m}\)
\(\large{ p_i }\) = input pressure \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ p_o }\) = output pressure \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ r }\) = radius of tube \(\large{in}\) \(\large{mm}\)
\(\large{ \eta }\)  (Greek symbol eta) = viscosity of fluid \(\large{\frac{lbf - sec}{ft^2}}\) \(\large{ Pa - s }\)

 

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Tags: Equations for Velocity Equations for Pipe