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Bejan Number - Heat Transfer

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

 

Bejan Number - Heat Transfer formula

\( Be \;=\;  \dfrac{ \Delta p \cdot l^2 }{ \mu \cdot \alpha }\)     (Bejan Number - Heat Transfer)

\( \Delta p \;=\;   \dfrac{ Be \cdot l^2 }{ \mu \cdot \alpha }\)

\( l \;=\; \sqrt{  \dfrac{ Be \cdot \mu \cdot \alpha }{ \Delta p }  }\)

\( \mu \;=\;   \dfrac{  \Delta p \cdot l^2 }{ Be \cdot \alpha }\)

\( \alpha \;=\;  \dfrac{  \Delta p \cdot l^2 }{ Be \cdot \mu }\)

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 \(lbf-sec\;/\;ft^2\) \( Pa-s \)
\( \alpha \)  (Greek symbol alpha) = Thermal Diffusivity \(ft^2\;/\;sec\)  \(m^2\;/\;s\) 

 

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