Binary mixture convection in a horizontal channel under the Soret effect action
The mathematical model describing stationary flow of binary liquid mixture is under consideration. The exact solution of the equations of convective heat and mass transfer is constructed for the special form of the functions of temperature and concentration. All possible statements of boundary value...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
2024-01-01
|
| Series: | Theoretical and Applied Mechanics |
| Subjects: | |
| Online Access: | https://doiserbia.nb.rs/img/doi/1450-5584/2024/1450-55842400004S.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832581999798255616 |
|---|---|
| author | Stepanova Irina |
| author_facet | Stepanova Irina |
| author_sort | Stepanova Irina |
| collection | DOAJ |
| description | The mathematical model describing stationary flow of binary liquid mixture is under consideration. The exact solution of the equations of convective heat and mass transfer is constructed for the special form of the functions of temperature and concentration. All possible statements of boundary value problems are studied in order to analyse thermal diffusion separation of binary mixture in a long horizontal channel with rigid walls. It is discovered that only one of the statements (at inhomogeneous heating of both rigid walls) leads to feasible results. With the help of the constructed solution for the mentioned boundary value problem the effect of layer thickness, given flow rate and action of gravity force on the separation process, is analysed. |
| format | Article |
| id | doaj-art-fcef7ba3de0a4dd589f3365fa2be93b8 |
| institution | Kabale University |
| issn | 1450-5584 2406-0925 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade |
| record_format | Article |
| series | Theoretical and Applied Mechanics |
| spelling | doaj-art-fcef7ba3de0a4dd589f3365fa2be93b82025-01-30T06:46:38ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842406-09252024-01-01512577310.2298/TAM231019004S1450-55842400004SBinary mixture convection in a horizontal channel under the Soret effect actionStepanova Irina0https://orcid.org/0000-0003-4255-2762Department of Differential Equations in Mechanics, Institute of Computational Modelling, Siberian Branch of Russian Academy of Sciences, Krasnoyarsk, RussiaThe mathematical model describing stationary flow of binary liquid mixture is under consideration. The exact solution of the equations of convective heat and mass transfer is constructed for the special form of the functions of temperature and concentration. All possible statements of boundary value problems are studied in order to analyse thermal diffusion separation of binary mixture in a long horizontal channel with rigid walls. It is discovered that only one of the statements (at inhomogeneous heating of both rigid walls) leads to feasible results. With the help of the constructed solution for the mentioned boundary value problem the effect of layer thickness, given flow rate and action of gravity force on the separation process, is analysed.https://doiserbia.nb.rs/img/doi/1450-5584/2024/1450-55842400004S.pdfbinary liquid mixturethermodiffusion separationconvection equationsexact solution |
| spellingShingle | Stepanova Irina Binary mixture convection in a horizontal channel under the Soret effect action Theoretical and Applied Mechanics binary liquid mixture thermodiffusion separation convection equations exact solution |
| title | Binary mixture convection in a horizontal channel under the Soret effect action |
| title_full | Binary mixture convection in a horizontal channel under the Soret effect action |
| title_fullStr | Binary mixture convection in a horizontal channel under the Soret effect action |
| title_full_unstemmed | Binary mixture convection in a horizontal channel under the Soret effect action |
| title_short | Binary mixture convection in a horizontal channel under the Soret effect action |
| title_sort | binary mixture convection in a horizontal channel under the soret effect action |
| topic | binary liquid mixture thermodiffusion separation convection equations exact solution |
| url | https://doiserbia.nb.rs/img/doi/1450-5584/2024/1450-55842400004S.pdf |
| work_keys_str_mv | AT stepanovairina binarymixtureconvectioninahorizontalchannelunderthesoreteffectaction |