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Double-diffusive convection in Jeffery–Hamel flow

In this paper, double-diffusive convection in flow of viscous fluid is investigated inside a horizontal channel. It has heated, inclined and rectangular plane walls. The upper wall has non-uniform temperature and variable species concentration. Note that the Jeffery–Hamel flow depends upon the radia...

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Autores principales: Noureen, Marwat, Dil Nawaz Khan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9160243/
https://www.ncbi.nlm.nih.gov/pubmed/35650290
http://dx.doi.org/10.1038/s41598-022-12908-9
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author Noureen
Marwat, Dil Nawaz Khan
author_facet Noureen
Marwat, Dil Nawaz Khan
author_sort Noureen
collection PubMed
description In this paper, double-diffusive convection in flow of viscous fluid is investigated inside a horizontal channel. It has heated, inclined and rectangular plane walls. The upper wall has non-uniform temperature and variable species concentration. Note that the Jeffery–Hamel flow depends upon the radial component of velocity, whereas, the peripheral velocity is taken zero. However, the current simulation has been accomplished in view of new procedures and we dealt with two non-zero components of velocity. The problem has been described in a set of four PDEs and the relevant BCs, whereas, the whole set of BVP is taken in Cartesian Coordinates. A set of proper transformation is formed, which reduces the system of PDEs into a new system of ODEs. The system of ODEs is solved with the help of several methods in order to check the validity of the solution. An approximate analytical solution is provided for small values of inclination parameter. An accurate numerical solution of the modelled equations is also given. Moreover, skin friction, rate of the two diffusions are investigated for all different cases of assisting (opposing) and converging (diverging) flows. Thus, the current modelled problem perfectly describes the physical problems of real world in such special circumstances.
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spelling pubmed-91602432022-06-03 Double-diffusive convection in Jeffery–Hamel flow Noureen Marwat, Dil Nawaz Khan Sci Rep Article In this paper, double-diffusive convection in flow of viscous fluid is investigated inside a horizontal channel. It has heated, inclined and rectangular plane walls. The upper wall has non-uniform temperature and variable species concentration. Note that the Jeffery–Hamel flow depends upon the radial component of velocity, whereas, the peripheral velocity is taken zero. However, the current simulation has been accomplished in view of new procedures and we dealt with two non-zero components of velocity. The problem has been described in a set of four PDEs and the relevant BCs, whereas, the whole set of BVP is taken in Cartesian Coordinates. A set of proper transformation is formed, which reduces the system of PDEs into a new system of ODEs. The system of ODEs is solved with the help of several methods in order to check the validity of the solution. An approximate analytical solution is provided for small values of inclination parameter. An accurate numerical solution of the modelled equations is also given. Moreover, skin friction, rate of the two diffusions are investigated for all different cases of assisting (opposing) and converging (diverging) flows. Thus, the current modelled problem perfectly describes the physical problems of real world in such special circumstances. Nature Publishing Group UK 2022-06-01 /pmc/articles/PMC9160243/ /pubmed/35650290 http://dx.doi.org/10.1038/s41598-022-12908-9 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Noureen
Marwat, Dil Nawaz Khan
Double-diffusive convection in Jeffery–Hamel flow
title Double-diffusive convection in Jeffery–Hamel flow
title_full Double-diffusive convection in Jeffery–Hamel flow
title_fullStr Double-diffusive convection in Jeffery–Hamel flow
title_full_unstemmed Double-diffusive convection in Jeffery–Hamel flow
title_short Double-diffusive convection in Jeffery–Hamel flow
title_sort double-diffusive convection in jeffery–hamel flow
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9160243/
https://www.ncbi.nlm.nih.gov/pubmed/35650290
http://dx.doi.org/10.1038/s41598-022-12908-9
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