Rotationally-axisymmetric motion of a binary mixture with a flat free boundary at small Marangoni numbers

Описание

Тип публикации: статья из журнала

Год издания: 2020

Идентификатор DOI: 10.17516/1997-1397-2020-13-2-197-212

Ключевые слова: Binary mixture, Free boundary, Inverse problem, Laplace transformation, The pressure gradient, The stationary solu-tion, Thermal Marangoni number, binary mixture; free boundary; inverse problem; the pressure gradient; the stationary solution; Laplace transformation; thermal Marangoni number

Аннотация: Rotationally-axisymmetric motion of a binary mixture with a flat free boundary at small Marangoni numbers is investigated. The problem is reduced to the inverse linear initial-boundary value problem for parabolic equations. Using Laplace transformation properties the exact analytical solution is obtained. It is shown that a stationПоказать полностьюary solution is the limiting one with the growth of time if there is a certain relationship between the temperature of the solid wall and the external temperature of the gas. If there is no connection, the convergence to the stationary solution is broken. Some examples of numerical reconstruction of the temperature, concentration and velocity fields are given, which confirm the theoretical conclusions. © Siberian Federal University.

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Издание

Журнал: Journal of Siberian Federal University - Mathematics and Physics

Выпуск журнала: Vol. 13, Is. 2

Номера страниц: 197-212

ISSN журнала: 19971397

Издатель: Siberian Federal University

Авторы

  • Andreev V.K. (Institute of Computational Modelling SB RAS, Krasnoyarsk, Russian Federation, Siberian Federal University, Krasnoyarsk, Russian Federation)
  • Sobachkina N.L. (Siberian Federal University, Krasnoyarsk, Russian Federation)

Вхождение в базы данных

  • Scopus
  • Web of Science Core Collection