Original scientific paper

Mathematical modelling of the separation of emulsions through membranes

Elena Verboloz ; ITMO University, Pulkovskoye Road 9/2, apt#189, 196240, Saint-Petersburg, RUSSIA
Borukh Voronenko ; ITMO University, Pulkovskoye Road 9/2, apt#189, 196240, Saint-Petersburg, RUSSIA
Artem Pastukhov orcid.org/0000-0002-5282-4816 ; ITMO University, Pulkovskoye Road 9/2, apt#189, 196240, Saint-Petersburg, RUSSIA
Gennadi Alekseev ; ITMO University, Pulkovskoye Road 9/2, apt#189, 196240, Saint-Petersburg, RUSSIA
Valeriy Pelenko ; ITMO University, Pulkovskoye Road 9/2, apt#189, 196240, Saint-Petersburg, RUSSIA
Sergey Polyakov ; ITMO University, Pulkovskoye Road 9/2, apt#189, 196240, Saint-Petersburg, RUSSIA

Abstract

For the prediction of the process of separation of emulsions and selection of optimal conditions for these processes an appropriate mathematical description is required. Thereby, a mathematical model of the convective diffusion of the continuous process in the space between the membrane and the impermeable wall, and the molecular diffusion in membrane was developed in the form of an analytical solution of the corresponding differential equations of transient diffusion for substance transfer in the moving fluid in the membrane, where due to membrane’s selective properties the constant separation of substances takes place. In this study authors addressed and analytically solved a diffusion boundary-value problem describing the mechanism of baromembrane emulsions separation. This value problem may find an application in the study of confectioner's cream production cycle.

Keywords

mathematical description; membrane; emulsion; convection and molecular mass transfer; microfiltration; permeate

Hrčak ID:

185755

URI

https://hrcak.srce.hr/185755

Publication date:

31.3.2015.

Visits: 370 *