Numerical Calculation of the Pressure Drop and Saturation of Two-PhaseFlow Through Porous Medium

摘要

Two-phase flow through a fibrous porous medium is numerically simulated.The goal of the study is toinvestigate the effect of numerical slip length on variation of pressure drop and saturation.The simulation is based on the numerical solution of incompressible Navier-Stokes equations for two-phase flow around a circular cylinder with radii in the ranges from 0.1 to 0.4.Variations of pressure dropand saturation in time are numerically calculated on simple and snap meshes for different values of surfacetension(σ),viscosity ratio(M = μ_(nw)/μw),and mesh sizes.Also,numerical results using simple and snapmeshes are compared.Numerical calculations are performed using the interFoam solver in OpenFOAM~Rfinite volume library.The presented results show that solutions of saturation and pressure drop in time vary with meshrefinement,so the numerical slip length significantly affects the flow.For a coarser mesh the influenceof numerical slip length is less than for a finer mesh,also as bigger the value of the viscosity ratio orsurface tension as lower the influence of numerical slip length.The results show that the contact line motionsignificantly depends not only on the microstructure of the porous media,but also on the fluid properties(viscosity ratio,surface tension and etc.).