Bejan Number - Fluid Mechanics

on 09 December 2019. Posted in Dimensionless Numbers

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	\(dimensionless\)	\(dimensionless\)
\( \Delta p \) = 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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