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Axisymmetric spreading of a thin power-law fluid under gravity on a horizontal plane

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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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Authors and Affiliations

  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

    Serge N. Neossi Nguetchue & E. Momoniat

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  1. Serge N. Neossi Nguetchue
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  2. E. Momoniat
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Correspondence to Serge N. Neossi Nguetchue.

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Neossi Nguetchue, S.N., Momoniat, E. Axisymmetric spreading of a thin power-law fluid under gravity on a horizontal plane. Nonlinear Dyn 52, 361–366 (2008). https://doi.org/10.1007/s11071-007-9284-4

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  • DOI: https://doi.org/10.1007/s11071-007-9284-4

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