Adaptation of the diffusion mathematical model to describe process microfiltration process fluids food production

• Main Authors: S. T. Antipov, A. I. Klyuchnikov
• Format: Article
• Language: Russian
• Published: Voronezh state university of engineering technologies 2019-07-01
• Series: Vestnik Voronežskogo Gosudarstvennogo Universiteta Inženernyh Tehnologij
• Subjects: mathematical modeling, microfiltration, membrane module, concentration polarization, specific permeability, equations of motion of a viscous incompressible fluid, diffusion model, hydrodynamic structure of the flow
• Online Access: https://www.vestnik-vsuet.ru/vguit/article/view/2151
• ISSN: 2226-910X; 2310-1202

The article shows the possibility of adapting a one-parameter diffusion model to the membrane separation process by taking into account the permeability of one of the walls of the channel of rectangular cross section under consideration. The structure of the hydrodynamic flow is studied, which allows determining the behavior of the solute concentration field on the membrane surface and evaluating the effectiveness of the measures used to reduce the concentration polarization using hydrodynamic methods due to velocity variations. Investigations of the process of microfiltration of unfiltered unpasteurized beer were carried out on an experimental installation of flow microfiltration. The microfiltration of beer under the flow-through mode of the organization of the process was carried out at the following technological parameters: temperature 2–60 °C, working pressure 0.08–0.25 MPa, speed of the divided flow above the membrane surface 2–3 m/s. The study of hydrodynamics of membrane processes, in view of their highest complexity and specificity, makes it possible today to create a theoretical description in general form and only for one phase or component. It is most convenient to use the diffusion mathematical model for the theoretical description. In mathematical modeling of hydrodynamic processes involving membranes, it is impossible to objectively quantitatively take into account most of the factors due to their large diversity and variability. It should be noted the absence of a unified and generally accepted theory of mass transfer in the study of membrane processes, which is a significant deterrent. The particular complexity of transmembrane transport arises in the case of the imposition of hydrodynamic instabilities of variable intensity, since Any (even insignificant) change in the regime parameters of the microfiltration process leads to different conditions for the formation (or destruction) of the surface layer, which inevitably affects the boundary conditions.