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Numerical simulation of the dynamics of a locally heated bilayer system under weak evaporation Full article

Journal International Journal of Heat and Mass Transfer
ISSN: 0017-9310
Output data Year: 2022, Number: 185, Article number : 122329, Pages count : DOI: 10.1016/j.ijheatmasstransfer.2021.122329
Tags Thermocapillary convection Thermodiffusion Two-layer system Interface Numerical simulation Local thermal load
Authors Bekezhanova V.B. 1,3 , Goncharova O.N. 2,3 , Ovcharova A.S. 4
Affiliations
1 Institute of Computational Modeling SB RAS,
2 Altai State University
3 Tyumen State University
4 Lavrentyev Institute of Hydrodynamics

Funding (1)

1 Министерство науки и высшего образования Российской Федерации FWGG-2021-0001

Abstract: The problem of thermocapillary convection under the conditions of weak evaporation in a plane con- fined volume is studied. The mathematical model to investigate the processes of heat- and mass trans- fer and phase transition parameters in a bilayer system subjected to local heating is suggested. A two- sided model based on the Boussinesq approximation of the Navier–Stokes equations is formulated in the “stream function–vorticity”terms. It includes governing equations and boundary conditions on the in- terface which are the consequences of the conservation laws and conditions on the outer boundaries of a cuvette. Special attention is given to the study of the effects of evaporation at the thermocapillary interface. The conditions of the heat and mass balance at the deformable interface with respect to the diffusive-type evaporation are assumed to be fulfilled. The temperature relations on the solid walls of a cell take into account the presence of thermal elements of finite size. The Dufour and Soret effects are considered in the interface conditions and in the governing equations describing the fluid motion in a gas-vapor mixture. A numerical algorithm is developed to calculate the basic characteristics of the liquid–gas system and interface location at any time. The results of the numerical study of the inter- face evolution and non-stationary flows in a cavity being under normal gravity conditions are presented. The possibility of intensifying the evaporation due to the arrangement of additional thermal elements is discussed. The proposed approach allows one to reliably feature the basic characteristics of convective regimes, to evaluate amplitude of the interface deformations and to forecast parameters of vapor content in a gas phase.
Cite: Bekezhanova V.B. , Goncharova O.N. , Ovcharova A.S.
Numerical simulation of the dynamics of a locally heated bilayer system under weak evaporation
International Journal of Heat and Mass Transfer. 2022. N185. 122329 . DOI: 10.1016/j.ijheatmasstransfer.2021.122329 WOS Scopus РИНЦ OpenAlex
Dates:
Submitted: Sep 13, 2021
Accepted: Nov 26, 2021
Published online: Dec 5, 2021
Identifiers:
Web of science: WOS:000755345600005
Scopus: 2-s2.0-85120704041
Elibrary: 47535806
OpenAlex: W4200287437
Citing:
DB Citing
OpenAlex 3
Elibrary 1
Scopus 2
Web of science 1
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