Bejan Number - Fluid Mechanics, Heat Transfer and Mass Transfer

Fluid Mechanics, Heat Transfer and Mass Transfer

In the context of fluid mechanics. the Bejan number is the dimensionless pressure drop along a channel of length :

where

is the dynamic viscosity
is the momentum diffusivity

In the context of heat transfer. the Bejan number is the dimensionless pressure drop along a channel of length :

where

is the dynamic viscosity
is the thermal diffusivity

The Be number plays in forced convection the same role that the Rayleigh number plays in natural convection.

In the context of mass transfer. the Bejan number is the dimensionless pressure drop along a channel of length :

where

is the dynamic viscosity
is the mass diffusivity

For the case of Reynolds analogy (Le = Pr = Sc = 1), it is clear that all three definitions of Bejan number are the same.

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