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An Approximate Lie Group Investigation into the Spreading of a Liquid Drop on a Slowly Dropping Flat Plane

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Abstract

The approximate Lie group method is used to investigate the evolutionof the free surface of a thin liquid drop on a slowly dropping flat plane. Surfacetension effects are ignored. A group classification is performed to determine the rateat which the plane drops. An approximate group invariant solution is then calculatedfor the free surface of an evolving liquid drop on the slowly dropping flat plane. Animportant parameter in the solution is the initial angle of the plane. For small anglesthere is no significant difference in the drop profile. For larger angles, changes in thedrop profile and rate of spreading are significant.

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Authors and Affiliations

  1. Centre for Differential Equations, Continuum Mechanics and Applications, Department of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa

    E. Momoniat

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  1. E. Momoniat
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Momoniat, E. An Approximate Lie Group Investigation into the Spreading of a Liquid Drop on a Slowly Dropping Flat Plane. Nonlinear Dynamics 28, 167–173 (2002). https://doi.org/10.1023/A:1015013217499

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