Publication:
Mathematical modeling of mass transfer of liquid mixes in capillaries under action of external forces with the use the Abel equation

Дата
2019
Авторы
Kalutskov, O. A.
Uvarova, L. A.
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Организационные подразделения
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Аннотация
© 2019 Author(s).It is known that a mass transfer in porous media has an important for a solution of different applied problems. In this paper is considered evaporation from capillaries at the given temperature and the electrical and magnetic fields. It is assumed that mathematical model of porous media is alone cylindrical capillary. The evaporation of liquid mixtures is considered. The mixtures contain the components which differ in the properties (volatiles, weight, electromagnetic properties) is significant. The velocity of the evaporation v less than sound velocity vc (v<<vc). Therefore it is possible to believe that the evaporation is quasi stationary process. The capillary length is L, the position of the phase transition boundary (from mouth) is l, l<<L. The movement of molecules in a gas phase is described by the Maxwell - Stefan equations for a multi-component gas mix in view of external forces. The solution is received with use of the Abel equation. In this work the external forces are the electromagnetic forces. In particular the acting of the external force on less volatile component only (the component under number 2) is considered. The analysis of models has shown that the behavior of concentrations can differs qualitatively depending on magnitudes the acting forces, the temperature, diffusion coefficients and the way of filling of a capillary by components of a binary mix.
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Kalutskov, O. A. Mathematical modeling of mass transfer of liquid mixes in capillaries under action of external forces with the use the Abel equation / Kalutskov, O.A., Uvarova, L.A. // AIP Conference Proceedings. - 2019. - 2116. - 10.1063/1.5114028
URI
https://www.doi.org/10.1063/1.5114028
 https://www.scopus.com/record/display.uri?eid=2-s2.0-85069960234&origin=resultslist
 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000521108600046
 https://openrepository.mephi.ru/handle/123456789/18454
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