Blake Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Blake Number

Blake number ( \(Bl\) ) (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

\( Blake \; number  \;=\;    \frac {  velocity  \;\;x\;\;  density }  { viscosity \; \left( \;1 \;-\; void \; friction  \; \right ) \; particle \; area} \)

\(Bl = \frac {V \rho}  {\mu \left( 1- \epsilon  \right) s} \)

\(Bl = \frac {G}  {\mu \left( 1- \epsilon  \right) s} \)

Where:

\(Bl\) = Blake number

\(\epsilon\) (Greek symbol epsilon) = void fraction

\(G\) = mass velocity

\(\rho\) (Greek symbol rho) = density

\(s\) = particle area or volume

\(\mu\) (Greek symbol mu) = viscosity

\(V\) = velocity

 

Tags: Equations for Force