Axisymmetric spreading of a thin power-law fluid under gravity on a horizontal plane |
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| Authors: | Serge N. Neossi Nguetchue E. Momoniat |
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| Affiliation: | (1) Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, 2050 Wits, South Africa |
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| Abstract: | Separable solutions admitted by a nonlinear partial differential equation modeling the axisymmetric spreading under gravity of a thin power-law fluid on a horizontal plane are investigated. The model equation is reduced to a highly nonlinear second-order ordinary differential equation for the spatial variable. Using the techniques of Lie group analysis, the nonlinear ordinary differential equation is linearized and solved. As a consequence of this linearization, new results are obtained. |
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| Keywords: | Nonlinear diffusion equation Linearization Lie point symmetries |
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