Effects of Magnetic Field and Nonlinear Temperature Profile on Marangoni Convection in Micropolar Fluid

Effects of Magnetic Field and Nonlinear Temperature Profile on Marangoni Convection in Micropolar Fluid

The combined effects of a uniform vertical magnetic field and a nonuniform basic temperature profile on the onset of steady Marangoni convection in a horizontal layer of micropolar fluid are studied. The closed-form expression for the Marangoni number M for the onset of convection, valid for polynom...

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Main Authors: M. N. Mahmud, R. Idris, I. Hashim
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Differential Equations and Nonlinear Mechanics
Online Access:http://dx.doi.org/10.1155/2009/748794
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spelling doaj-16cf2d8d49f54765b03b219dc54abf482020-11-25T01:05:18ZengHindawi LimitedDifferential Equations and Nonlinear Mechanics1687-40991687-41022009-01-01200910.1155/2009/748794748794Effects of Magnetic Field and Nonlinear Temperature Profile on Marangoni Convection in Micropolar FluidM. N. Mahmud0R. Idris1I. Hashim2Malaysian Institute of Chemical & Bioengineering Technology, Universiti Kuala Lumpur, 78000 Alor Gajah Melaka, MalaysiaDepartment of Mathematics, Faculty of Science & Technology, Universiti Malaysia Terengganu, 21030 Kuala Terengganu, MalaysiaCentre for Modelling & Data Analysis, School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor, MalaysiaThe combined effects of a uniform vertical magnetic field and a nonuniform basic temperature profile on the onset of steady Marangoni convection in a horizontal layer of micropolar fluid are studied. The closed-form expression for the Marangoni number M for the onset of convection, valid for polynomial-type basic temperature profiles upto a third order, is obtained by the use of the single-term Galerkin technique. The critical conditions for the onset of convection have been presented graphically.http://dx.doi.org/10.1155/2009/748794
collection DOAJ
language English
format Article
sources DOAJ
author M. N. Mahmud
R. Idris
I. Hashim
spellingShingle M. N. Mahmud
R. Idris
I. Hashim
Effects of Magnetic Field and Nonlinear Temperature Profile on Marangoni Convection in Micropolar Fluid
Differential Equations and Nonlinear Mechanics
author_facet M. N. Mahmud
R. Idris
I. Hashim
author_sort M. N. Mahmud
title Effects of Magnetic Field and Nonlinear Temperature Profile on Marangoni Convection in Micropolar Fluid
title_short Effects of Magnetic Field and Nonlinear Temperature Profile on Marangoni Convection in Micropolar Fluid
title_full Effects of Magnetic Field and Nonlinear Temperature Profile on Marangoni Convection in Micropolar Fluid
title_fullStr Effects of Magnetic Field and Nonlinear Temperature Profile on Marangoni Convection in Micropolar Fluid
title_full_unstemmed Effects of Magnetic Field and Nonlinear Temperature Profile on Marangoni Convection in Micropolar Fluid
title_sort effects of magnetic field and nonlinear temperature profile on marangoni convection in micropolar fluid
publisher Hindawi Limited
series Differential Equations and Nonlinear Mechanics
issn 1687-4099
1687-4102
publishDate 2009-01-01
description The combined effects of a uniform vertical magnetic field and a nonuniform basic temperature profile on the onset of steady Marangoni convection in a horizontal layer of micropolar fluid are studied. The closed-form expression for the Marangoni number M for the onset of convection, valid for polynomial-type basic temperature profiles upto a third order, is obtained by the use of the single-term Galerkin technique. The critical conditions for the onset of convection have been presented graphically.
url http://dx.doi.org/10.1155/2009/748794
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AT ridris effectsofmagneticfieldandnonlineartemperatureprofileonmarangoniconvectioninmicropolarfluid
AT ihashim effectsofmagneticfieldandnonlineartemperatureprofileonmarangoniconvectioninmicropolarfluid
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