Symmetries and similarity solutions for the axisymmetric spreading under gravity of a thin power-law liquid drop on a horizontal plane |
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| Authors: | S.N. Neossi Nguetchue S. Abelman E. Momoniat |
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| Affiliation: | aCentre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa |
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| Abstract: | We perform a complete analysis of all the Lie point symmetries admitted by the equation describing the axisymmetric spreading under gravity of a thin power-law liquid drop on a horizontal plane. We then investigate the existence of group-invariant solutions for particular values of the power-law parameter β. |
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| Keywords: | Power-law fluids Lie point symmetries Invariant solutions |
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