Axisymmetric spreading of a thin drop under gravity and time-dependent non-uniform surface tension |
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| Authors: | E Momoniat |
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| Institution: | Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa |
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| Abstract: | A second-order non-linear partial differential equation modelling the gravity driven spreading of a thin viscous liquid film with time-dependent non-uniform surface tension Σ(t,r) is considered. The problem is specified in cylindrical polar coordinates where we assume the flow is axisymmetric. Similarity solutions describing the spreading of a thin drop and the flattening of a thin bubble are investigated. |
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| Keywords: | Thin film Non-uniform surface tension Similarity solutions |
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