Transport of solute and solvent driven by lubrication pressure through non-deformable permeable membranes

Abstract A discrete-forcing immersed boundary method with permeable membranes is developed to investigate the effect of lubrication on permeations solute and solvent through membrane. The permeation models are incorporated into discretisation at fluid cells including membrane, discretised equations for pressure Poisson equation convection–diffusion represented discontinuities validity proposed established by convergence numerical results permeate fluxes (solute solvent) higher-order analytical in a lubrication-dominated flow field. As model mass exchange between inside outside biological cell flowing capillary, circular membrane placed parallel flat plates, investigated varying distance walls. discontinuity near wall larger than that stagnation point, which highlighted lubrication. In case small gap, transport dominated convection diffusion outside. Through time variation concentration shown enhance from/to