Lie symmetry group transformation for MHD natural convection flow of nanofluid over linearly porous stretching sheet in presence of thermal stratification

Abdul Kahar, Rosmila and Kandasamy, Ramasamy and Muhaimin, Ismoen (2012) Lie symmetry group transformation for MHD natural convection flow of nanofluid over linearly porous stretching sheet in presence of thermal stratification. Applied Mathematics and Mechanics, 33 (5). pp. 593-604. ISSN 0253-4827

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Official URL: http://dx.doi.org/10.1007/s10483-012-1573-9

Abstract

The magnetohydrodynamics (MHD) convection flow and heat transfer of an incompressible viscous nanofluid past a semi-infinite vertical stretching sheet in the presence of thermal stratification are examined. The partial differential equations governing the problem under consideration are transformed by a special form of the Lie symmetry group transformations, i.e., a one-parameter group of transformations into a system of ordinary differential equations which are numerically solved using the Runge-Kutta-Gill-based shooting method. It is concluded that the flow field, temperature, and nanoparticle volume fraction profiles are significantly influenced by the thermal stratification and the magnetic field.

Item Type:Article
Uncontrolled Keywords:lie symmetry group transformation; nanofluid; porous medium; thermal stratification; magnetic field
Subjects:Q Science > QC Physics
Divisions:Faculty of Science, Technology and Human Development > Department of Science and Mathematics
ID Code:3907
Deposited By:Normajihan Abd. Rahman
Deposited On:21 Jun 2013 17:07
Last Modified:21 Jan 2015 16:30

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