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Poiseuille's Equation for Compressible Fluids

          

Poiseuille's Velocity Equation for Compressible Fluids formula

\( v \;=\;    \dfrac{ r^2 }{ 16 \cdot \eta \cdot  l }  \cdot   \dfrac{ p_1^2 - p_2^2 }{ p_1 } \) 
Symbol English Metric
\( v \) = velocity of fluid  \(ft\;/\;sec\)  \(m\;/\;s\)
\( r \) = radius of tube \(in\) \(mm\)
\( \eta \)  (Greek symbol eta) = viscosity of fluid \(lbf - sec\;/\;ft^2\) \(Pa - s \)
\( l \) = length of tube \(ft\) \(m\)
\( p_1 \) = input pressure \(lbf\;/\;in^2\) \(Pa\)
\( p_2 \) = output pressure \(lbf\;/\;in^2\) \(Pa\)

 

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