Geodesic
On one exact solution of an evaporative convection problem with the Dirichlet boundary conditions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 2, pp. 207-219

Voir la notice de l'article provenant de la source Math-Net.Ru

Characteristics of steady-state convective flows of a liquid and a co-current gas flux under the conditions of inhomogeneous evaporation of the diffusive type in a flat horizontal channel are studied. A partially-invariant exact solution of equations of the thermosolutal convection is used to describe the flows within the framework of the Oberbeck – Boussinesq approximation. It is derived as the solution of the evaporative convection problem with the Dirichlet boundary conditions on the outer channel walls. The influence of the external thermal load on the structure of the velocity and temperature fields, evaporation mass flow rate and vapor content in the gas layer was investigated in the HFE-7100 – nitrogen system.
Keywords: mathematical model, boundary-value problem, evaporative convection.
Mots-clés : exact solution 
@article{JSFU_2024_17_2_a6,
     author = {Victoria B. Bekezhanova and Olga N. Goncharova},
     title = {On one exact solution of an evaporative convection problem with the {Dirichlet} boundary conditions},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {207--219},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2024_17_2_a6/}
}
TY  - JOUR
AU  - Victoria B. Bekezhanova
AU  - Olga N. Goncharova
TI  - On one exact solution of an evaporative convection problem with the Dirichlet boundary conditions
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2024
SP  - 207
EP  - 219
VL  - 17
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2024_17_2_a6/
LA  - en
ID  - JSFU_2024_17_2_a6
ER  - 
%0 Journal Article
%A Victoria B. Bekezhanova
%A Olga N. Goncharova
%T On one exact solution of an evaporative convection problem with the Dirichlet boundary conditions
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2024
%P 207-219
%V 17
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2024_17_2_a6/
%G en
%F JSFU_2024_17_2_a6
Victoria B. Bekezhanova; Olga N. Goncharova. On one exact solution of an evaporative convection problem with the Dirichlet boundary conditions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 2, pp. 207-219. http://geodesic.mathdoc.fr/item/JSFU_2024_17_2_a6/