MODELING CONCENTRATION POLARIZATION PHENOMENA FOR MEMBRANE CHANNEL WITH CYLINDRICAL GEOMETRY IN AN ULTRAFILTRATION PROCESS

A correlation for longitudinal mass flow of dissolved component agains t degree of concentration polarization has been developed. The develop ed solution is applicable to tube-side flow and based on the assumptio ns that the flow is to be isothermal, laminar, incompressible and stea dy state. Balance equations for viscous and diffusion boundary layers are the core of the model. Integration of these equations over the con trol volume of the cylindrical configuration has been carried out. Thi s model permits the analysis of the influence of mass flow, bulk conce ntration, and velocity on the degree of concentration polarization. It can also give mass flow using the degree of concentration polarizatio n as an input variable. The presented solution can be segmented and bu ilt into a complicated algorithm of a membrane-based process. The solu tion does not contain digital integration and permits simulation and a nalysis of the influence of various factors. The calculated data are i ncluded.