Axisymmetric spreading of a thin power-law fluid under gravity on a horizontal plane

Serge N. Neossi Nguetchue; E. Momoniat

doi:10.1007/s11071-007-9284-4

Axisymmetric spreading of a thin power-law fluid under gravity on a horizontal plane

Serge N. Neossi Nguetchue
, E. Momoniat

University of the Witwatersrand

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

7 Citations (Scopus)

Abstract

Separable solutions admitted by a nonlinear partial differential equation modeling the axisymmetric spreading under gravity of a thin power-law fluid on a horizontal plane are investigated. The model equation is reduced to a highly nonlinear second-order ordinary differential equation for the spatial variable. Using the techniques of Lie group analysis, the nonlinear ordinary differential equation is linearized and solved. As a consequence of this linearization, new results are obtained.

Original language	English
Pages (from-to)	361-366
Number of pages	6
Journal	Nonlinear Dynamics
Volume	52
Issue number	4
DOIs	https://doi.org/10.1007/s11071-007-9284-4
Publication status	Published - Jun 2008
Externally published	Yes

Keywords

Lie point symmetries
Linearization
Nonlinear diffusion equation

ASJC Scopus subject areas

Control and Systems Engineering
Aerospace Engineering
Ocean Engineering
Mechanical Engineering
Electrical and Electronic Engineering
Applied Mathematics

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10.1007/s11071-007-9284-4

Cite this

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abstract = "Separable solutions admitted by a nonlinear partial differential equation modeling the axisymmetric spreading under gravity of a thin power-law fluid on a horizontal plane are investigated. The model equation is reduced to a highly nonlinear second-order ordinary differential equation for the spatial variable. Using the techniques of Lie group analysis, the nonlinear ordinary differential equation is linearized and solved. As a consequence of this linearization, new results are obtained.",

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AB - Separable solutions admitted by a nonlinear partial differential equation modeling the axisymmetric spreading under gravity of a thin power-law fluid on a horizontal plane are investigated. The model equation is reduced to a highly nonlinear second-order ordinary differential equation for the spatial variable. Using the techniques of Lie group analysis, the nonlinear ordinary differential equation is linearized and solved. As a consequence of this linearization, new results are obtained.

KW - Lie point symmetries

KW - Linearization

KW - Nonlinear diffusion equation

UR - https://www.scopus.com/pages/publications/42449158103

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ER -

Axisymmetric spreading of a thin power-law fluid under gravity on a horizontal plane

Abstract

Keywords

ASJC Scopus subject areas

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