Role of thermal diffusion on double-diffusive natural convection in a vertical annular porous medium

This paper derives analytical solutions of fully developed natural convection heat and mass transfer in a vertical annular non-Darcy porous medium. This investigation extends the work of Cheng (2006) to a situation where Soret effect is present and the flow is both aided and opposed. The influence o...

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Main Authors: Basant Kumar Jha, Sylvester Bakut Joseph, Abiodun Olusegun Ajibade
Format: Article
Language:English
Published: Elsevier 2015-06-01
Series:Ain Shams Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447914001609
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author Basant Kumar Jha
Sylvester Bakut Joseph
Abiodun Olusegun Ajibade
author_facet Basant Kumar Jha
Sylvester Bakut Joseph
Abiodun Olusegun Ajibade
author_sort Basant Kumar Jha
collection DOAJ
description This paper derives analytical solutions of fully developed natural convection heat and mass transfer in a vertical annular non-Darcy porous medium. This investigation extends the work of Cheng (2006) to a situation where Soret effect is present and the flow is both aided and opposed. The influence of the controlling parameters on the flow characteristics has been seen to be higher for double diffusion in the absence of Soret effect than in the presence of Soret effect. It is found that the presence of Soret effect reduces the dependence of the volume flow rate, the total heat rate and the total species rate on the inner radius-gap ratio and on the modified Darcy number.
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spelling doaj.art-bd031491875447418067a2526e302cd62022-12-21T22:52:17ZengElsevierAin Shams Engineering Journal2090-44792015-06-016262963710.1016/j.asej.2014.11.004Role of thermal diffusion on double-diffusive natural convection in a vertical annular porous mediumBasant Kumar Jha0Sylvester Bakut Joseph1Abiodun Olusegun Ajibade2Department of Mathematics, Ahmadu Bello University, Zaria, NigeriaDepartment of Mathematics and Statistics, Nuhu Bamalli Polytechnic, Zaria, NigeriaDepartment of Mathematics, Ahmadu Bello University, Zaria, NigeriaThis paper derives analytical solutions of fully developed natural convection heat and mass transfer in a vertical annular non-Darcy porous medium. This investigation extends the work of Cheng (2006) to a situation where Soret effect is present and the flow is both aided and opposed. The influence of the controlling parameters on the flow characteristics has been seen to be higher for double diffusion in the absence of Soret effect than in the presence of Soret effect. It is found that the presence of Soret effect reduces the dependence of the volume flow rate, the total heat rate and the total species rate on the inner radius-gap ratio and on the modified Darcy number.http://www.sciencedirect.com/science/article/pii/S2090447914001609Modified Darcy numberNatural convectionAnnular ductPorous mediumDouble diffusionSoret effect
spellingShingle Basant Kumar Jha
Sylvester Bakut Joseph
Abiodun Olusegun Ajibade
Role of thermal diffusion on double-diffusive natural convection in a vertical annular porous medium
Ain Shams Engineering Journal
Modified Darcy number
Natural convection
Annular duct
Porous medium
Double diffusion
Soret effect
title Role of thermal diffusion on double-diffusive natural convection in a vertical annular porous medium
title_full Role of thermal diffusion on double-diffusive natural convection in a vertical annular porous medium
title_fullStr Role of thermal diffusion on double-diffusive natural convection in a vertical annular porous medium
title_full_unstemmed Role of thermal diffusion on double-diffusive natural convection in a vertical annular porous medium
title_short Role of thermal diffusion on double-diffusive natural convection in a vertical annular porous medium
title_sort role of thermal diffusion on double diffusive natural convection in a vertical annular porous medium
topic Modified Darcy number
Natural convection
Annular duct
Porous medium
Double diffusion
Soret effect
url http://www.sciencedirect.com/science/article/pii/S2090447914001609
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