Boundary condition of fluid flow for diffused wall interface with finite width

Abstract

The unified fluid interface model, which is also related to the viscous solution of the level-set function and the phase-field method, provides a physical model of the fluidinterface phenomena such as the gas-liquid in terface and the reaction interface. We investigated how to apply the fluid phenomena modeling by the diffused interface with such a finite width to the solid wall boundary. By assuming a porous flow as a fluid solution in a solid, the flow field equations immersed in the solid are derived using the unified fluid interface model approach.