Mathematical modelling

A short review of the different approaches to the mechanism of oscillations of electric potential difference between aqueous phases of liquid membrane oscillators is presented. More attention is paid to the mechanisms of oscillations proposed in our laboratory. For systems with cationic surfactant a

The start-up of a pilot-scale membrane bioreactor equipped with submerged ultrafiltration membranes to treat municipal wastewater has been studied. Attention has been paid to determine membrane separation effects on biomass development in a reactor operated without inoculation. Moreover, the activat

Two 2D models of non-stationary and non-isothermal transfer of a strong binary electrolyte in a rectangular electrodialysis desalination cell formed by anion- and cation-exchange membranes are developed. Both gravitational and forced convection occurring in underlimiting current mode are taken into

The aim of this work is to improve a mathematical model to describe the volume-decreasing diafiltration process by including macrosolute rejection. Water consumption in this continuous process was analyzed and a significant advantage when comparing both the classical diafiltration process and multi-

A review of works resulting in development of a hierarchic system of mathematical models is presented. Different scales of ion transport are considered: 1) in the membrane, where two approaches are used, the irreversible thermodynamics and modelling of the membrane material, the last permits to link