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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:

${\displaystyle B={\frac {u\rho D_{h}}{\mu (1-\epsilon )}}}$

where

ε	=	void fraction
μ	=	dynamic viscosity
ρ	=	fluid density
Dh	=	hydraulic diameter
u	=	flow velocity

References

1. Massey, Bernard Stanford (1986). Measures in Science and Engineering: Their Expression, Relation, and Interpretation. E. Horwood. ISBN 978-0-470-20331-6.
2. Tomas, J. (2010). "Mechanical Process Engineering – Particle Technology" (PDF). Otto von Guericke University of Magdeburg. Archived from the original (PDF) on 19 July 2011. Retrieved 11 February 2011.

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