Modeling of solid-gas flow fields via a correlation study

A non-dimensional mode parameter P* is defined using well-known permeability parameter Pf, mixture density ρm and a time parameter t* as an original contribution. The proposed relationships of P* with air flow Froude Number, Fr and solid particle Froude number Frs determine the limits of the flow fields. The magnitude of P* is 1150 for stationary packed solid particles with Fr≤2. Meanwhile P*≤2 corresponds to the dilute phase flow of solid particles in air for Frs≤60. The proposed equations can also be used for the determination of solids velocity Us, U and Umf in the cited limits of Frs, Fr with an acceptable error margin of <±24%.