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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Main Authors: T. Makayssi, M. Naïmi, M. Lamsaadi, M. Hasnaoui, A. Raji, A. Bahlaoui
Format: Article
Language:English
Published: Isfahan University of Technology 2011-01-01
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.
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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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