Blake Number

Blake number, abbreviated as Bl, a dimensionless number, is proportional to inertial force and viscous force and is used in momentum transfer and flow through beds of solids.

 

Blake Number formula

\(\large{ B =  \frac{ v \; \rho \; d_h }{ \mu \; \left( 1\;-\; \epsilon \right) }  }\)

Where:

\(\large{ Bl }\) = Blake number

\(\large{ \rho }\)   (Greek symbol rho) = density of fluid

\(\large{ \mu }\)  (Greek symbol mu) = dynamic viscosity of fluid

\(\large{ d_h }\) = hydraulic diameter

\(\large{ v }\) = velocity of fluid

\(\large{ \epsilon }\)   (Greek symbol epsilon) = void fraction