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Applications of Group Theoretical Methods to Non-Newtonian Fluid Flow Models: Survey of Results

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  • Taha Aziz
  • F. M. Mahomed

Abstract

The present review is intended to encompass the applications of symmetry based approaches for solving non-Newtonian fluid flow problems in various physical situations. Works which deal with the fundamental science of non-Newtonian fluids that are analyzed using the Lie group method and conditional symmetries are reviewed. We provide the mathematical modelling, the symmetries deduced, and the solutions obtained for all the models considered. This survey includes, as far as possible, all the articles published until . Only papers published by a process of peer review in archival journals are reviewed and are grouped together according to the specific non-Newtonian models under investigation.

Suggested Citation

  • Taha Aziz & F. M. Mahomed, 2017. "Applications of Group Theoretical Methods to Non-Newtonian Fluid Flow Models: Survey of Results," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-43, August.
    • Handle: RePEc:hin:jnlmpe:6847647
    DOI: 10.1155/2017/6847647
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    Cited by:

    1. Saleem, Musharafa & Chaudhry, Qasim Ali & Almatroud, A. Othman, 2021. "One-parameter lie scaling study of carreau fluid flow with thermal radiation effects," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).

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