Наукова періодика України Ukrainian food journal


Obodovich O. 
Mathematical modeling of mass transfer in baromembrane processes / O. Obodovich, O. Ustinov, V. Zaharov // Ukrainian food journal. - 2018. - Vol. 7, Issue 2. - С. 303-310. - Режим доступу: http://nbuv.gov.ua/UJRN/UFJ_2018_7_2_13
Introduction. To determine the optimal modes of rational exploitation of membranes the phenomena of concentration polarization was studied here. Materials and methods. Distribution of the concentration of the dissolved substance in solvent by height of the channel of the baromembrane apparatus was obtained by the method of mathematical modeling. Membrane channels were represented as a rectangular grid with a predetermined step. The stability condition of the solutions was verified using the Courant criterion. Results and discussion. Applying the corresponding boundary conditions characterizing the physical essence of the baromembrane processes, as well as numerical methods for solving differential equations, we obtain a system of algebraic kinetic equations that allow us determine the distribution of concentration of the dissolved substance by the height of the pressure channels, which is practically impossible to do experimentally. To simulate the real processes of separation, we used geometric, physical and mass-exchange characteristics of the real membrane systems. It is established that due to the semi-permeable properties of membranes, the amount of the dissolved substance at its surface over time increases, that is, the phenomenon of concentration polarization appears. Depending on the pressure, membrane characteristics and flow turbulence, the value of the concentration polarization may exceed the value of 10, which must be taken into account in order to prevent the formation of sediment on the surface of the membrane. The character of the obtained dependencies is in good agreement with the theoretical foundations of the membrane processes and allows us apply the proposed algorithm for the preliminary analysis of the phenomena occurring in the pressure channels in the division of complex multicomponent liquid systems. Conclusions. The level of concentration polarization in the membrane channels of barometric apparatuses at separations processes of food industry liquids may exceed 10 and depends upon the parameters of the process.
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Цитованість авторів публікації:
  • Obodovich O.
  • Ustinov O.
  • Zaharov V.

  • Бібліографічний опис для цитування:

    Obodovich O. Mathematical modeling of mass transfer in baromembrane processes / O. Obodovich, O. Ustinov, V. Zaharov // Ukrainian food journal. - 2018. - Vol. 7, Issue 2. - С. 303-310. - Режим доступу: http://nbuv.gov.ua/UJRN/UFJ_2018_7_2_13.

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