Mass conservation equation dense-phase solid

Mass conservation equation for the dense-phase solid ... 

Here, and x f refer to the mass fractions of species w in the solids of the dense and the dilute phases, and x h is the mass fiaction of species w in the phase where T, comes from. And the source term ofthe speciesj or w caused by the heterogeneous reaction in the dilute and dense phase in the above species conservation equations are Rjc, Rj(, Rji -Rwo - wf. and R. ... 

A model has been developed to simulate the non-suspension moving-bed type of flow in pneumatic conveying systems. The flow is modelled as two layers a dilute gas-solids mixture flowing above a dense gas-solids mixture. For each layer the conservation equations for mass, momentum and energy were solved for both the gas and solids phases. In addition mass, momentum and energy transfers between the two layers were modelled. The prediction of pressure profile and the depth of the dense layer showed good agreement with experimental observations. 

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