Confined Non-Newtonian Fluid Flow and Heat and Mass Transfers Induced by both Thermal and Solutal Buoyancy Forces of Equal Intensities
In this paper is reported an analytical and numerical study on double-diffusive natural convection in a non-Newtonian power-law fluid confined in a shallow horizontal rectangular enclosure submitted to uniform heat and mass fluxes along its short vertical sides, while the horizontal ones are insul...
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Format: | Article |
Language: | English |
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Isfahan University of Technology
2011-01-01
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Series: | Journal of Applied Fluid Mechanics |
Subjects: | |
Online Access: | http://jafmonline.net/JournalArchive/download?file_ID=15276&issue_ID=203 |
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author | T. Makayssi M. Naïmi M. Lamsaadi M. Hasnaoui A. Raji A. Bahlaoui |
author_facet | T. Makayssi M. Naïmi M. Lamsaadi M. Hasnaoui A. Raji A. Bahlaoui |
author_sort | T. Makayssi |
collection | DOAJ |
description | In this paper is reported an analytical and numerical study on double-diffusive natural convection in a non-Newtonian
power-law fluid confined in a shallow horizontal rectangular enclosure submitted to uniform heat and mass fluxes
along its short vertical sides, while the horizontal ones are insulated and impermeable. Here, the cases of aiding and
opposing thermal and solutal buoyancy forces of equal intensities are considered. In the first part of the work the full
governing equations are solved and the effects of the power-law behavior index, n, and the generalized thermal
Rayleigh number, RaT , are examined and analyzed. In the second part, an analytical solution, based on the parallel
flow approximation valid in the case of a shallow cavity, is proposed and an excellent agreement of results between
the two approaches is observed, which validates them mutually. |
first_indexed | 2024-04-13T17:11:54Z |
format | Article |
id | doaj.art-718873a99eb541e9bbbb8490d3f78c34 |
institution | Directory Open Access Journal |
issn | 1735-3645 |
language | English |
last_indexed | 2024-04-13T17:11:54Z |
publishDate | 2011-01-01 |
publisher | Isfahan University of Technology |
record_format | Article |
series | Journal of Applied Fluid Mechanics |
spelling | doaj.art-718873a99eb541e9bbbb8490d3f78c342022-12-22T02:38:15ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-36452011-01-014197106.Confined Non-Newtonian Fluid Flow and Heat and Mass Transfers Induced by both Thermal and Solutal Buoyancy Forces of Equal IntensitiesT. MakayssiM. NaïmiM. LamsaadiM. HasnaouiA. RajiA. BahlaouiIn this paper is reported an analytical and numerical study on double-diffusive natural convection in a non-Newtonian power-law fluid confined in a shallow horizontal rectangular enclosure submitted to uniform heat and mass fluxes along its short vertical sides, while the horizontal ones are insulated and impermeable. Here, the cases of aiding and opposing thermal and solutal buoyancy forces of equal intensities are considered. In the first part of the work the full governing equations are solved and the effects of the power-law behavior index, n, and the generalized thermal Rayleigh number, RaT , are examined and analyzed. In the second part, an analytical solution, based on the parallel flow approximation valid in the case of a shallow cavity, is proposed and an excellent agreement of results between the two approaches is observed, which validates them mutually.http://jafmonline.net/JournalArchive/download?file_ID=15276&issue_ID=203Double-diffusive natural convection; Heat and mass transfers; Non-Newtonian fluids; Rectangular shallow enclosures |
spellingShingle | T. Makayssi M. Naïmi M. Lamsaadi M. Hasnaoui A. Raji A. Bahlaoui Confined Non-Newtonian Fluid Flow and Heat and Mass Transfers Induced by both Thermal and Solutal Buoyancy Forces of Equal Intensities Journal of Applied Fluid Mechanics Double-diffusive natural convection; Heat and mass transfers; Non-Newtonian fluids; Rectangular shallow enclosures |
title | Confined Non-Newtonian Fluid Flow and Heat and Mass Transfers Induced by both Thermal and Solutal Buoyancy Forces of Equal Intensities |
title_full | Confined Non-Newtonian Fluid Flow and Heat and Mass Transfers Induced by both Thermal and Solutal Buoyancy Forces of Equal Intensities |
title_fullStr | Confined Non-Newtonian Fluid Flow and Heat and Mass Transfers Induced by both Thermal and Solutal Buoyancy Forces of Equal Intensities |
title_full_unstemmed | Confined Non-Newtonian Fluid Flow and Heat and Mass Transfers Induced by both Thermal and Solutal Buoyancy Forces of Equal Intensities |
title_short | Confined Non-Newtonian Fluid Flow and Heat and Mass Transfers Induced by both Thermal and Solutal Buoyancy Forces of Equal Intensities |
title_sort | confined non newtonian fluid flow and heat and mass transfers induced by both thermal and solutal buoyancy forces of equal intensities |
topic | Double-diffusive natural convection; Heat and mass transfers; Non-Newtonian fluids; Rectangular shallow enclosures |
url | http://jafmonline.net/JournalArchive/download?file_ID=15276&issue_ID=203 |
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