Lie Symmetry Group Transformation for MHD Natural Convection Flow of a Nanofluid Over a Linearly Porous Stretching Sheet in the Presence of Thermal Stratification

Abdul-Kahar Rosmila; Ramasamy Kandasamy; Ismoen Muhaimin

doi:10.3879/j.issn.1000-0887.2012.05.005

Volume 33 Issue 5

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Abdul-Kahar Rosmila, Ramasamy Kandasamy, Ismoen Muhaimin. Lie Symmetry Group Transformation for MHD Natural Convection Flow of a Nanofluid Over a Linearly Porous Stretching Sheet in the Presence of Thermal Stratification[J]. Applied Mathematics and Mechanics, 2012, 33(5): 562-573. doi: 10.3879/j.issn.1000-0887.2012.05.005

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Lie Symmetry Group Transformation for MHD Natural Convection Flow of a Nanofluid Over a Linearly Porous Stretching Sheet in the Presence of Thermal Stratification

doi: 10.3879/j.issn.1000-0887.2012.05.005

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

Received Date: 2011-03-23
Rev Recd Date: 2011-12-21
Publish Date: 2012-05-15

Abstract

Abstract

The MHD convective flow and heat transfer of an incompressible viscous nanofluid past a semi infinite vertical stretching sheet in the presence of thermal stratification were examined. The partial differential equations governing the problem under consideration were transformed by a special form of Lie symmetry group transformations viz oneparameter group of transformation into a system of ordinary differential equations which were solved numerically using Runge Kutta Gill based shooting method. The conclusion is drawn that the flow field and temperature and nanoparticle volume fraction profiles are significantly influenced by thermal stratification and magnetic field.
- Lie symmetry group transformation,
- nanofluids,
- porous media,
- thermal stratification,
- magnetic field

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References

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