Blake number
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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 Template:Math is:
where
Template:Math = void fraction Template:Math = dynamic viscosity Template:Math = fluid density Template:Math = hydraulic diameter Template:Math = flow velocity