Symmetry reductions of a flow with power law fluid and contaminant-modified viscosity

R. J. Moitsheki; S. Abelman; T. Hayat

doi:10.3390/mca15040685

Symmetry reductions of a flow with power law fluid and contaminant-modified viscosity

R. J. Moitsheki
, S. Abelman
, T. Hayat

University of the Witwatersrand
Quaid-I-Azam University
King Saud University

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

3 Scopus citations

Abstract

In this study symmetry analysis is carried out for a system dealing with nonreactive pollutant transport along a single channel. Constitutive equations obeying a power law fluid are used in the description of the mathematical problem. We obtain forms of the source term for which the governing system admits extra point symmetries. Invariant solutions which satisfy physical boundary conditions are constructed. In some cases we resort to numerical methods to obtain approximate solutions.

Original language	English
Pages (from-to)	685-696
Number of pages	12
Journal	Mathematical and Computational Applications
Volume	15
Issue number	4
DOIs	https://doi.org/10.3390/mca15040685
State	Published - 2010
Externally published	Yes

Keywords

Invariant and numerical solutions
Nonlinear system
Power law fluid
Symmetry reductions

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10.3390/mca15040685

Cite this

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AU - Moitsheki, R. J.

AU - Abelman, S.

AU - Hayat, T.

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Y1 - 2010

N2 - In this study symmetry analysis is carried out for a system dealing with nonreactive pollutant transport along a single channel. Constitutive equations obeying a power law fluid are used in the description of the mathematical problem. We obtain forms of the source term for which the governing system admits extra point symmetries. Invariant solutions which satisfy physical boundary conditions are constructed. In some cases we resort to numerical methods to obtain approximate solutions.

AB - In this study symmetry analysis is carried out for a system dealing with nonreactive pollutant transport along a single channel. Constitutive equations obeying a power law fluid are used in the description of the mathematical problem. We obtain forms of the source term for which the governing system admits extra point symmetries. Invariant solutions which satisfy physical boundary conditions are constructed. In some cases we resort to numerical methods to obtain approximate solutions.

KW - Invariant and numerical solutions

KW - Nonlinear system

KW - Power law fluid

KW - Symmetry reductions

UR - https://www.scopus.com/pages/publications/78650390208

U2 - 10.3390/mca15040685

DO - 10.3390/mca15040685

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EP - 696

JO - Mathematical and Computational Applications

JF - Mathematical and Computational Applications

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ER -

Symmetry reductions of a flow with power law fluid and contaminant-modified viscosity

Abstract

Keywords

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