Symmetries and similarity solutions for the axisymmetric spreading under gravity of a thin power-law liquid drop on a horizontal plane

S. N. Neossi Nguetchue; S. Abelman; E. Momoniat

doi:10.1016/j.apm.2009.03.026

Symmetries and similarity solutions for the axisymmetric spreading under gravity of a thin power-law liquid drop on a horizontal plane

S. N. Neossi Nguetchue, S. Abelman, E. Momoniat

University of the Witwatersrand

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	4364-4377
Number of pages	14
Journal	Applied Mathematical Modelling
Volume	33
Issue number	12
DOIs	https://doi.org/10.1016/j.apm.2009.03.026
Publication status	Published - Dec 2009
Externally published	Yes

Keywords

Invariant solutions
Lie point symmetries
Power-law fluids

ASJC Scopus subject areas

Modeling and Simulation
Applied Mathematics

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10.1016/j.apm.2009.03.026

Cite this

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title = "Symmetries and similarity solutions for the axisymmetric spreading under gravity of a thin power-law liquid drop on a horizontal plane",

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.",

keywords = "Invariant solutions, Lie point symmetries, Power-law fluids",

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year = "2009",

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AB - 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.

KW - Invariant solutions

KW - Lie point symmetries

KW - Power-law fluids

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Symmetries and similarity solutions for the axisymmetric spreading under gravity of a thin power-law liquid drop on a horizontal plane

Abstract

Keywords

ASJC Scopus subject areas

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