Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium.

Linear stability analysis is applied to investigate the effect of internal heat generation on Marangoni convection in a two-layer system comprising an incompressible fluid-saturated porous layer over which lies a layer of the same fluid. The lower rigid surface and the upper non-deformable surface a...

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Main Authors: Mohd Mokhtar, Nor Fadzillah, Md. Arifin, Norihan, Nazar, Roslinda, Ismail, Fudziah, Suleiman, Mohamed
Format: Article
Language:English
English
Published: Academic Publications 2011
Online Access:http://psasir.upm.edu.my/id/eprint/24746/1/Effect%20of%20heat%20generation%20on%20the%20onset%20of%20Marangoni%20convection%20in%20superposed%20layers%20of%20fluid%20and%20saturated%20porous%20medium.pdf
http://psasir.upm.edu.my/id/eprint/24746/
http://www.acadpubl.eu/
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Institution: Universiti Putra Malaysia
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spelling my.upm.eprints.247462015-10-16T08:54:00Z http://psasir.upm.edu.my/id/eprint/24746/ Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium. Mohd Mokhtar, Nor Fadzillah Md. Arifin, Norihan Nazar, Roslinda Ismail, Fudziah Suleiman, Mohamed Linear stability analysis is applied to investigate the effect of internal heat generation on Marangoni convection in a two-layer system comprising an incompressible fluid-saturated porous layer over which lies a layer of the same fluid. The lower rigid surface and the upper non-deformable surface are assumed to be perfectly insulating. The critical eigenvalues are solved exactly and the asymptotic solution of the long wavelength is also obtained using regular perturbation technique. The effect of variation of different physical parameters on the onset of Marangoni convection in the presence of heat generation is investigated in details. The internal heating in the fluid layer and the porous layer are found to decrease the critical conditions. Academic Publications 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24746/1/Effect%20of%20heat%20generation%20on%20the%20onset%20of%20Marangoni%20convection%20in%20superposed%20layers%20of%20fluid%20and%20saturated%20porous%20medium.pdf Mohd Mokhtar, Nor Fadzillah and Md. Arifin, Norihan and Nazar, Roslinda and Ismail, Fudziah and Suleiman, Mohamed (2011) Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium. International Journal of Pure and Applied Mathematics, 67 (4). pp. 387-405. ISSN 1311-8080 http://www.acadpubl.eu/ English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description Linear stability analysis is applied to investigate the effect of internal heat generation on Marangoni convection in a two-layer system comprising an incompressible fluid-saturated porous layer over which lies a layer of the same fluid. The lower rigid surface and the upper non-deformable surface are assumed to be perfectly insulating. The critical eigenvalues are solved exactly and the asymptotic solution of the long wavelength is also obtained using regular perturbation technique. The effect of variation of different physical parameters on the onset of Marangoni convection in the presence of heat generation is investigated in details. The internal heating in the fluid layer and the porous layer are found to decrease the critical conditions.
format Article
author Mohd Mokhtar, Nor Fadzillah
Md. Arifin, Norihan
Nazar, Roslinda
Ismail, Fudziah
Suleiman, Mohamed
spellingShingle Mohd Mokhtar, Nor Fadzillah
Md. Arifin, Norihan
Nazar, Roslinda
Ismail, Fudziah
Suleiman, Mohamed
Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium.
author_facet Mohd Mokhtar, Nor Fadzillah
Md. Arifin, Norihan
Nazar, Roslinda
Ismail, Fudziah
Suleiman, Mohamed
author_sort Mohd Mokhtar, Nor Fadzillah
title Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium.
title_short Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium.
title_full Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium.
title_fullStr Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium.
title_full_unstemmed Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium.
title_sort effect of heat generation on the onset of marangoni convection in superposed layers of fluid and saturated porous medium.
publisher Academic Publications
publishDate 2011
url http://psasir.upm.edu.my/id/eprint/24746/1/Effect%20of%20heat%20generation%20on%20the%20onset%20of%20Marangoni%20convection%20in%20superposed%20layers%20of%20fluid%20and%20saturated%20porous%20medium.pdf
http://psasir.upm.edu.my/id/eprint/24746/
http://www.acadpubl.eu/
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