A phase field model for mass transport with semi-permeable interfaces

In this paper, a thermal-dynamical consistent model for mass transfer across permeable moving interfaces is proposed by using the energy variation method. We consider restricted diffusion problem where flux interface depends on its conductance and difference of concentration each side. The diffusive phase-field framework used here has several advantages over sharp First all, explicit tracking no longer necessary. Secondly, interfacial condition can be incorporated with variable coefficient. A detailed asymptotic analysis confirms converges to existing as thickness goes zero. decoupled stable numerical scheme developed solve system efficiently. Numerical simulations first illustrate consistency theoretical results limit. Then convergence study decay test are conducted ensure efficiency stability scheme. To effectiveness our approach, examples provided, including two-phase drops deformable suspended in fluid.