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

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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.

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Authors and Affiliations

  1. Research Centre for Computational Mathematics, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, Johor, 86400, Malaysia

    A. B. Rosmila, R. Kandasamy & I. Muhaimin

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  1. A. B. Rosmila
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  2. R. Kandasamy
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  3. I. Muhaimin
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Correspondence to R. Kandasamy.

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Rosmila, A.B., Kandasamy, R. & Muhaimin, I. Lie symmetry group transformation for MHD natural convection flow of nanofluid over linearly porous stretching sheet in presence of thermal stratification. Appl. Math. Mech.-Engl. Ed. 33, 593–604 (2012). https://doi.org/10.1007/s10483-012-1573-9

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  • DOI: https://doi.org/10.1007/s10483-012-1573-9

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