On influence of geometrical parameters and flow rate on mass transfer through interface of two binary mixtures

Описание

Тип публикации: статья из журнала

Год издания: 2020

Идентификатор DOI: 10.1615/InterfacPhenomHeatTransfer.2020035410

Ключевые слова: binary mixture, exact solution, interface, oberbeck–boussinesq approximation

Аннотация: A new exact solution of the Oberbeck–Boussinesq equations is constructed for the description of convection in a horizontal channel filled by two-layer system of two binary mixtures with a sharp interface where the phase transition can occur. The presented mathematical model takes into account the linear dependence of the density onПоказать полностьюtemperature and mass fraction of the light component of the mixture and thermal diffusion effect in the both layers as well. The posed boundary conditions allow us to consider evaporation from the lower liquid layer into the upper gas layer through the sharp interface. The constructed exact solution of the posed boundary problem is applied for the study of influence of the channel geometry and gas flow rate in the upper layer on characteristics (velocities, temperatures, concentrations) of the motion and evaporation mass flow rate. The different widths of the lower and upper layers and intensity of given gas flow rate in the upper layer are analyzed. It is shown that the constructed solution is available for the description of the evaporation and condensation processes. The main features of the motion are adequately caught by the presented solution. It can be utilized for mathematical modeling of convective flows of two-layers binary mixtures in long narrow channels where the low wall is heated with respect to the quadratic law along the longitudinal coordinate. © 2020 by Begell House, Inc.

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Издание

Журнал: Interfacial Phenomena and Heat Transfer

Выпуск журнала: Vol. 8, Is. 4

Номера страниц: 273-290

ISSN журнала: 21692785

Издатель: Begell House Inc.

Персоны

  • Stepanova I.V. (Institute of Computational Modeling SB RAS, Krasnoyarsk, 660036, Russian Federation, Siberian Federal University, Krasnoyarsk, 660041, Russian Federation)