The Blake number in fluid mechanics is a nondimensional number showing the ratio of inertial force to viscous force. It is used in momentum transfer in general and in particular for flow of a fluid through beds of solids. It is a generalisation of the Reynolds number for flow through porous media.

Expressed mathematically the Blake number \(B\) is:

\[B = \frac{V \rho}{\mu ( 1-\epsilon) D}\]

where

\(\epsilon\) = void fraction
\(\mu\) = dynamic viscosity
\(\rho\) = fluid density
\(D\) = characteristic particle diameter
\(V\) = flow velocity

External links

fa:عدد بلاک