Bejan number - fluid mechanics, abbreviated as Be, a dimensionless number, is the pressure drop along a length of channel.
Bejan Number - Fluid Transfer formula |
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\( Be \;=\; \dfrac{ \Delta p \cdot l^2 }{ \mu \cdot \nu }\) (Bejan Number - Fluid Mechanics) \( \Delta p \;=\; \dfrac{ Be \cdot \mu \cdot \nu }{ l^2 }\) \( l \;=\; \sqrt{ \dfrac{ Be \cdot \mu \cdot \nu }{ \Delta p } }\) \( \mu \;=\; \dfrac{ \Delta p \cdot l^2 }{ Be \cdot \nu }\) \( \nu \;=\; \dfrac{ \Delta p \cdot l^2 }{ Be \cdot \mu }\) |
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| 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) | \(ft^2\;/\;sec\) | \(m^2\;/\;s\) |
