Blake number

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Short description: Dimensionless number in fluid dynamics

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).[1]

Expressed mathematically the Blake number B is:[2]

B=uρDhμ(1ϵ)

where

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

References