Theoretical Analysis of the Gravity Impact on the Parameters of Flow Regimes with Inhomogeneous Evaporation Based on an Exact Solution of Convection Equations


Тип публикации: статья из журнала

Год издания: 2022

Идентификатор DOI: 10.1007/s12217-022-10006-z

Ключевые слова: evaporative convection, exact solution, interface, mathematical model

Аннотация: A partially-invariant exact solution of equations of thermosolutal convection is derived to analyze combined steady-state flows of a liquid and a co-current gas flux in a flat horizontal channel occurring under the Boussinesq conditions. In the framework of the two-dimensional problem statement the solution allows one to correctly Показать полностьюconsider non-uniform evaporation of the diffusive type at the liquid-gas interface and thermodiffusion effects appearing in the gas phase due to the presence of a vaporized component. It is supposed that the mass transfer through the interface is caused by the combined action of the gas flux and thermal load applied on the outer solid boundaries of the flow domain. Analytical representations of the required functions for various types of the boundary conditions for the vapor concentration function set on the upper channel wall are obtained. The influence of the gravitation intensity and external thermal load on changes in the velocity and temperature fields, on evaporation mass flow rate and vapor content in the gas layer is investigated at an example of the ethanol-air system. The applicability area of the exact solution for modeling the steady-state stratified convective flows in the two-phase system is discussed based on the comparison of the calculated and known experimental data. The solution correctly predicts the behavior of the hydrodynamic, temperature and concentration characteristics of convective regimes appearing in the two-phase system both in microgravity and terrestrial conditions. Instability forms forecasted by the solution are confirmed by experimental observations. Quantitative coincidence between the theoretical and experimental results for evaporation rate variations is found, offering new insights for various physical mechanisms which can be difficult to obtain experimentally. © 2022, The Author(s), under exclusive licence to Springer Nature B.V.

Ссылки на полный текст


Журнал: Microgravity Science and Technology

Выпуск журнала: Vol. 34, Is. 5

Номера страниц: 88

ISSN журнала: 09380108

Издатель: Springer Science and Business Media B.V.


  • Bekezhanova V. (Department of Differential Equations of Mechanics, Institute of Computational Modeling SB RAS, Akademgorodok 50/44, Krasnoyarsk, 660036, Russian Federation, Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny 79, Krasnoyarsk, 660041, Russian Federation)
  • Goncharova O. (Institute of Mathematics and Information Technologies, Altai State University, Lenin ave. 61, Barnaul, 656049, Russian Federation)

Вхождение в базы данных