Bejan Number - Fluid Mechanics

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Bejan number - fluid mechanics, abbreviated as Be, a dimensionless number, is the pressure drop along a length of channel.

 

Bejan Number - Fluid Transfer formula

\( Be =   \Delta p \; l^2 \;/\; \mu \; \nu \)     (Bejan Number - Fluid Mechanics)

\( \Delta p =   Be \; \mu \; \nu \;/\; l^2 \)

\( l = \sqrt{  Be \; \mu \; \nu \;/\; \Delta p } \)

\( \mu =  \Delta p \; l^2 \;/\; Be \; \nu \)

\( \nu =  \Delta p \; l^2 \;/\; Be \; \mu \)

Symbol English Metric
\( Be \) = Bejan number \(dimensionless\)
\( \Delta p \) = pressure drop \(lbf\;/\;in^2\) \(Pa\)
\( l \) = length of channel \(ft\) \(m\)
\( \mu \)  (Greek symbol mu) = dynamic viscosity \(lbf-sec\;/\;ft^2\) \( Pa-s \)
\( \nu \)  (Greek symbol nu) = momentum diffusivity (kinematic viscosity) \(ft^2\;/\;sec\) \(m^2\;/\;s\)

 

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Tags: Open Channel Pressure Loss