In fluid mechanics, the Blake number 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. It is named after the US chemist Frank C. Blake (1892–1926). Expressed mathematically the Blake number B is:
B = u ρ D h μ ( 1 − ϵ ) {\displaystyle B={\frac {u\rho D_{h}}{\mu (1-\epsilon )}}}
where
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