Bejan Number - Heat Transfer

on . Posted in Dimensionless Numbers

Tags: Heat Transfer Open Channel Pressure Loss

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

 

Bejan Number - Heat Transfer formula

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

\(\large{ \Delta p =  \frac{ Be \; l^2 }{ \mu \; \alpha }  }\)

\(\large{ l =  \sqrt{ \frac{ Be \; \mu \; \alpha }{ \Delta p }   }  }\)

\(\large{ \mu =  \frac{ \Delta p \; l^2 }{ Be \; \alpha }  }\)

\(\large{ \alpha =  \frac{ \Delta p \; l^2 }{ Be \; \mu }  }\)

Symbol English Metric
\(\large{ Be }\) = Bejan number \(\large{dimensionless}\)
\(\large{ \Delta p }\) = pressure drop \(\large{\frac{lbf}{in^2}}\) \(\large{Pa}\)
\(\large{ l }\) = length of channel \(\large{ft}\) \(\large{m}\)
\(\large{ \mu }\)  (Greek symbol mu) = dynamic viscosity \(\large{\frac{lbf-sec}{ft^2}}\) \(\large{ Pa-s }\)
\(\large{ \alpha }\)  (Greek symbol alpha) = thermal diffusivity \(\large{\frac{ft^2}{sec}}\)  \(\large{\frac{m^2}{s}}\) 

 

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Tags: Heat Transfer Open Channel Pressure Loss