Evaporation convection in two-layers binary mixtures: equations, structure of solution, study of gravity and thermal diffusion effects on the motion

VB Bekezhanova, IV Stepanova - Applied Mathematics and Computation, 2022 - Elsevier
The theoretical approach for mathematical modeling of the evaporative convection in a
multiphase system with interface based on the use of an exact solution of governing …

Study of the gas flow rate effect on the parameters of evaporative convection regimes using an exact solution

VB Bekezhanova, ON Goncharova… - International Journal of …, 2024 - Elsevier
Abstract The Oberbeck–Boussinesq equations and boundary conditions resulting from the
conservation laws and thermodynamics principles provide the basis for mathematical …

Theoretical analysis of the gravity impact on the parameters of flow regimes with inhomogeneous evaporation based on an exact solution of convection equations

V Bekezhanova, O Goncharova - Microgravity Science and Technology, 2022 - Springer
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 …

Numerical solution of nonstationary problem for convection of binary mixture in horizontal layer

IV Stepanova, VE Zalizniak - Vestnik Udmurtskogo Universiteta …, 2023 - mathnet.ru
IV Stepanova, VE Zalizniak, “Numerical solution of nonstationary problem for convection of
binary mixture in horizontal layer”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 33:2 (2023) …

Modeling of stratified two‐phase flows with non‐uniform evaporation based on the exact solution of convection equations

VB Bekezhanova… - Mathematical Methods in …, 2024 - Wiley Online Library
Within the framework of the Oberbeck–Boussinesq approximation, the exact solution of
equations of thermoconcentration convection is studied, which has the group origin. The …

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

I Stepanova - Interfacial Phenomena and Heat Transfer, 2020 - dl.begellhouse.com
ABSTRACT 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 …

Численное решение задачи нестационарной конвекции бинарной смеси в горизонтальном слое

ИВ Степанова, ВЕ Зализняк - Вестник Удмуртского университета …, 2023 - mathnet.ru
Рассматривается нестационарное движение жидкой бинарной смеси в узком
протяженном горизонтальном канале с твердыми стенками, нагревающимися по …

The Study of Three-Dimensional Fluid Flow Regimes on the Basis of the Exact Solution to the Convection Equations

ON Goncharova - Journal of Mathematical Sciences, 2023 - Springer
We consider the evaporation/condensation process of diffusion type in two-layer fluid flows
under the assumption that both viscous heat-conducting incompressible fluids, a liquid and …

CHARACTERISTICS OF WEAK EVAPORATIVE CONVECTION IN DEPENDENCE ON THERMAL LOAD OFWALLS OF CHANNEL FILLED BY TWO BINARY FLUIDS

I Stepanova - Interfacial Phenomena and Heat Transfer, 2024 - dl.begellhouse.com
The paper is devoted to description of evaporative convection in a long narrow horizontal
channel filled by two binary mixtures contacting through the interface. The parameters of …

Модель эволюции пленки бинарного гомогенного раствора при тепловом воздействии

КА Бородина - … моделирование. Нефть, газ, энергетика.–2020.–Т. 6 …, 2020 - elib.utmn.ru
Изучение движения жидких пленок в последнее время приобретает всё большую
актуальность, что связано с расширяющейся областью их практического применения. К …