Flow Rate Prediction for a Semi-permeable Membrane at Low Reynolds Number in a Circular Pipe

Abstract A concise and accurate prediction method is required for membrane permeability in chemical engineering biological fields. As a preliminary study on this topic, we propose the concentration polarization model (CPM) of permeate flux flow rate under dominant effects viscosity solute diffusion. In model, incorporated solution through semi-permeable (i.e., permeable solvent but not solute) circular pipe. The effect field pipe viscous-dominant condition at low Reynolds number) discussed by comparing CPM with numerical simulation results infinitesimal Péclet number (IPM) permeability, strength osmotic pressure, number. IPM are confirmed to be reasonable extension pure fluid, which was proposed previously. application range narrow because advection considered, whereas demonstrates superior applicability wide parameters, including coefficient, This suggests necessity considering polarization. Although mathematical expression more complex than that IPM, exhibits potential accurately predict parameters large pressure occur.