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

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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

机译：稀薄幂律液滴在水平面上的重力作用下的轴对称扩展的对称性和相似性解

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摘要

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.

机译：我们对方程描述的所有李点对称性进行了完整的分析，该方程描述了在水平面上的薄幂律液滴在重力作用下的轴对称扩展。然后，我们研究幂律参数β特定值的组不变解的存在。

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来源
《Applied Mathematical Modelling》 |2009年第12期|4364-4377|共14页
作者
S.N. Neossi Nguetchue; S. Abelman; E. Momoniat;
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作者单位

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

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

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

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
power-law fluids; lie point symmetries; invariant solutions;

机译：幂律流体;谎言点对称性不变解;

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专利

1. Axisymmetric spreading of a thin power-law fluid under gravity on a horizontal plane [J] . Serge N. Neossi Nguetchue, E. Momoniat Nonlinear Dynamics . 2008,第4期

机译：稀薄幂律流体在重力作用下在水平面上的轴对称扩展
2. Axisymmetric spreading of a thin power-law fluid under gravity on a horizontal plane [J] . Nguetchue SNN, Momoniat E Nonlinear dynamics . 2008,第4期

机译：稀薄的幂律流体在重力作用下在水平面上的轴对称扩展
3. Corrigenda: " Similarity solutions for spreading of a two-dimensional non-Newtonian gravity current in a porous layer" [J. Non-Newton. Fluid Mech. 177-178 (2012) 46-53] and " Spreading of axisymmetric non-Newtonian power-law gravity currents in porous media" [J. Non-Newton. Fluid Mech. 1 [J] . Di Federico V., Archetti R., Longo S. Journal of Non-Newtonian Fluid Mechanics . 2013,第Null期

机译：勘误：“在多孔层中二维非牛顿重力流扩散的相似解” [J．非牛顿。流体机械。 177-178（2012）46-53]和“轴对称非牛顿幂律引力流在多孔介质中的扩散” [J.非牛顿。流体机械。 1个
4. SPREADING OF A THIN LIQUID DROP UNDER THE INFLUENCE OF GRAVITY, ROTATION AND NON-UNIFORM SURFACE TENSION [C] . Ebrahim Momoniat International workshop on materials processing at high gravity . 2001

机译：在重力，旋转和非均匀表面张力的影响下缩小液滴
5. AN EXPERIMENTAL STUDY ON NATURAL CONVECTION HEAT TRANSFER OF NON-NEWTONIAN FLUIDS FROM HORIZONTAL WIRES (RHEOLOGY, POLYMER SOLUTION, POWER-LAW, PURELY VISCOUS, VISCOELASTIC). [D] . NG, MOSES LUNGFAI. 1985

机译：水平线非牛顿流体自然对流传热的实验研究（流变学，聚合物溶液，幂律，纯粘性，粘弹性）。
6. The Effect of Surface Tension on the Gravity-driven Thin Film Flow of Newtonian and Power-law Fluids [O] . Bin Hu, Sarah L. Kieweg -1

机译：表面张力对牛顿和动力法流体重力驱动的薄膜流动的影响
7. Symmetries and similarity solutions for the axisymmetric spreading under gravity of a thin power-law liquid drop on a horizontal plane [O] . Neossi Nguetchue S.N., Abelman S., Momoniat E. 2009

机译：稀薄幂律液滴在重力作用下在重力作用下轴对称扩展的对称性和相似性解
8. The Spreading of a Liquid Drop on a Plane Solid (l'Etendue d'une Goutte Liquide sur une Surface Plate et Solide). [R] . Drummond, A. M. 1975

机译：液滴在平面固体上的扩散（l'Etendue d'une Goutte Liquide sur une surface plate et solide）。

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

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