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

DOI10.1016/J.APM.2009.03.026zbMath1172.76002OpenAlexW1984068457MaRDI QIDQ733470

Ebrahim Momoniat, Serge N. Neossi Nguetchue, Shirley Abelman

Publication date: 16 October 2009

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2009.03.026

zbMATH Keywords

existencegroup-invariant solutionsLie point symmetries

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Cites Work

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• Axisymmetric spreading of a thin power-law fluid under gravity on a horizontal plane
• Non-linear diffusion of an axisymmetric thin liquid drop: group-invariant solution and conservation law
• Axisymmetric spreading of a thin liquid drop with suction or blowing at the horizontal base
• Spreading of non-Newtonian fluid drops on a horizontal plane
• Capillarity driven spreading of power-law fluids

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