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Stability of Marangoni convection in a composite porous-fluid with a boundary slab of finite conductivity

A linear stability analysis is used to investigate the onset of Marangoni convection in a three-layer system comprising an incompressible fluid saturated porous layer over which lies a layer of the same fluid and below which lies a solid layer. The lower boundary is subjected to a fixed heat flux, w...

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Main Authors: Md Arifin, Norihan, Pop, Ioan
Format: Article
Language:English
English
Published: Tech Science Press 2008
Online Access:http://psasir.upm.edu.my/id/eprint/7054/1/Stability%20of%20Marangoni%20convection%20in%20a%20composite%20porous.pdf
http://psasir.upm.edu.my/id/eprint/7054/
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spelling my.upm.eprints.70542015-10-26T00:53:27Z http://psasir.upm.edu.my/id/eprint/7054/ Stability of Marangoni convection in a composite porous-fluid with a boundary slab of finite conductivity Md Arifin, Norihan Pop, Ioan A linear stability analysis is used to investigate the onset of Marangoni convection in a three-layer system comprising an incompressible fluid saturated porous layer over which lies a layer of the same fluid and below which lies a solid layer. The lower boundary is subjected to a fixed heat flux, while the upper free surface of the fluid is non-deformable. At the interface between the fluid and the porous layer, the Beavers-Joseph slip condition is used and the Darcy law is employed to describe the flow in the porous medium. The asymptotic analysis of the long-wavelength is performed and the results are compared with those for the case of porous-fluid layer system. The effects of the thermal conductivity and the thickness of the solid plate on the onset of convective instability are studied. It is found that the solid plate with a higher relative thermal conductivity or higher thickness ratio tends to stabilize the system. Tech Science Press 2008 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/7054/1/Stability%20of%20Marangoni%20convection%20in%20a%20composite%20porous.pdf Md Arifin, Norihan and Pop, Ioan (2008) Stability of Marangoni convection in a composite porous-fluid with a boundary slab of finite conductivity. Fluid Dynamics Research and Materials Processing, 138 (1). pp. 1-7. ISSN 1555-256X 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 A linear stability analysis is used to investigate the onset of Marangoni convection in a three-layer system comprising an incompressible fluid saturated porous layer over which lies a layer of the same fluid and below which lies a solid layer. The lower boundary is subjected to a fixed heat flux, while the upper free surface of the fluid is non-deformable. At the interface between the fluid and the porous layer, the Beavers-Joseph slip condition is used and the Darcy law is employed to describe the flow in the porous medium. The asymptotic analysis of the long-wavelength is performed and the results are compared with those for the case of porous-fluid layer system. The effects of the thermal conductivity and the thickness of the solid plate on the onset of convective instability are studied. It is found that the solid plate with a higher relative thermal conductivity or higher thickness ratio tends to stabilize the system.
format Article
author Md Arifin, Norihan
Pop, Ioan
spellingShingle Md Arifin, Norihan
Pop, Ioan
Stability of Marangoni convection in a composite porous-fluid with a boundary slab of finite conductivity
author_facet Md Arifin, Norihan
Pop, Ioan
author_sort Md Arifin, Norihan
title Stability of Marangoni convection in a composite porous-fluid with a boundary slab of finite conductivity
title_short Stability of Marangoni convection in a composite porous-fluid with a boundary slab of finite conductivity
title_full Stability of Marangoni convection in a composite porous-fluid with a boundary slab of finite conductivity
title_fullStr Stability of Marangoni convection in a composite porous-fluid with a boundary slab of finite conductivity
title_full_unstemmed Stability of Marangoni convection in a composite porous-fluid with a boundary slab of finite conductivity
title_sort stability of marangoni convection in a composite porous-fluid with a boundary slab of finite conductivity
publisher Tech Science Press
publishDate 2008
url http://psasir.upm.edu.my/id/eprint/7054/1/Stability%20of%20Marangoni%20convection%20in%20a%20composite%20porous.pdf
http://psasir.upm.edu.my/id/eprint/7054/
_version_ 1643823609417826304
score 13.211869

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