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Article

Symmetry Reductions of a Flow with Power Law Fluid and Contaminant-Modified Viscosity

by
R. J. Moitsheki
*,
S. Abelman
* and
T. Hayat
*
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
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2010, 15(4), 685-696; https://doi.org/10.3390/mca15040685
Published: 1 December 2010
Versions Notes

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.
Keywords: Power law fluid; nonlinear system; symmetry reductions; invariant and numerical solutions Power law fluid; nonlinear system; symmetry reductions; invariant and numerical solutions

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MDPI and ACS Style

Moitsheki, R.J.; Abelman, S.; Hayat, T. Symmetry Reductions of a Flow with Power Law Fluid and Contaminant-Modified Viscosity. Math. Comput. Appl. 2010, 15, 685-696. https://doi.org/10.3390/mca15040685

AMA Style

Moitsheki RJ, Abelman S, Hayat T. Symmetry Reductions of a Flow with Power Law Fluid and Contaminant-Modified Viscosity. Mathematical and Computational Applications. 2010; 15(4):685-696. https://doi.org/10.3390/mca15040685

Chicago/Turabian Style

Moitsheki, R. J., S. Abelman, and T. Hayat. 2010. "Symmetry Reductions of a Flow with Power Law Fluid and Contaminant-Modified Viscosity" Mathematical and Computational Applications 15, no. 4: 685-696. https://doi.org/10.3390/mca15040685

APA Style

Moitsheki, R. J., Abelman, S., & Hayat, T. (2010). Symmetry Reductions of a Flow with Power Law Fluid and Contaminant-Modified Viscosity. Mathematical and Computational Applications, 15(4), 685-696. https://doi.org/10.3390/mca15040685

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