Calculation of Industrial Membrane Processes Based on Mathematical Modeling

The paper presents a brief analysis of the existing mathematical models of membrane processes, allowing to obtain the dependence of the solvent volume flow and the concentration of the separated solution on the time of the membrane separation process. The models allowing to calculate the concentration and solvent specific flow at the membrane devices exit for industrial membrane processes are also considered. One of the considered models is modified due to the introduction of Reynolds criterion and the energy consumption for membrane separation with the application of electric fields. The electro-membrane process is widely used in the food industry, in particular in the production of whey protein concentrates from secondary dairy raw materials.