Two-velocity mechanics of granular porous media (Q1082909)

A two-phase mixture of a porous or granular solid phase and liquid or gas filling the pores or the intergranular spaces, is considered. Two limiting structures of the mixture are specified: 1) the solid phase represents dense packing of spherical particles (grains) in intergranular point contact; 2) the pores represent channels, almost cylindrical in form. Expressions for the interphase forces and equations of the two- velocity motion of the phases are studied within these two structures. Different development of the interphase forces depending on the structure of the mixture is noted, the forces arising from the force of inertia and in particular from the Archimedes and the attached-mass forces.