Local volume-averaged transport equations for multiphase flow in regions containing distributed solid structures

Local volume averaged conservation equations for multiphase flow in regions containing a distributed fixed solid structure with heat transfer are treated. In addition to the usual concept of volume porosity and distributed resistance, the anisotropic nature of the porous media is accounted for by formulating the equations in terms of velocities of phases associated with directional surface permeability. The resulting basic equations are in the form of differential integral transport equations with probability integrals based on the configurations and velocities of the interface. Limiting cases of pure stratified flow and highly dispersed mixture flow are noted. Validity and basis of the governing equations used in the COMMIX-2 code at its present stage of development are demonstrated.