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Semi Analytical Solutions of a Heat-Mass Transfer Problem Via Group Theoretic Approach

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Algebra, Geometry and Mathematical Physics

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 85))

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Abstract

Problem of heat-mass transfer in non-Newtonian power law, two-dimensional, laminar, boundary layer flow of a viscous incompressible fluid over an inclined plate has been studied by applying the method of group theoretic approach. The governing system of nonlinear partial differential equation describing the flow and heat transfer problem are transformed into a system of nonlinear ordinary differential equation which has been solved semi analytically. Exact solutions for the dimensionless temperature and concentration profiles, are presented graphically for different physical parameters and for the different power law exponents \(n\in (0,0.5)\) and for \(n>0.5.\) Also the effect of n, the Prandtl number, and the heat generation parameter on both the temperature and the concentration of the fluid inside the boundary layer have been studied.

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Acknowledgments

The authors would like to express their gratitude and appreciations to the professional reviewers for their valuable comments that improved the results and contents of the paper to the present form.

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Authors and Affiliations

  1. Department of Engineering Mathematics and Physics, Faculty of Engineering, Alexandria University, Alexandria, 21544, Egypt

    Mina B. Abd-el-Malek

  2. Department of Mathematics and Actuarial Sciences, The American University in Cairo, Cairo, Egypt

    Mina B. Abd-el-Malek

  3. Department of Engineering Mathematics and Physics, Faculty of Engineering, Zagazig University, Zagazig, Egypt

    Medhat M. Helal

Authors
  1. Mina B. Abd-el-Malek
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  2. Medhat M. Helal
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Corresponding author

Correspondence to Mina B. Abd-el-Malek .

Editor information

Editors and Affiliations

  1. Informatique et Applications, Université of Haute Alsace, Laboratoire de Mathématiques, Mulhouse, France

    Abdenacer Makhlouf

  2. Tallinn University of Technology, Dept. Mathematics, Tallinn, Estonia

    Eugen Paal

  3. Culture and Communication (UKK) Division of Applied Mathematics, Mälardalen University, The School of Education, Västerås, Sweden

    Sergei D. Silvestrov

  4. Dept. Mathematical Sciences, University of Göteborg, Göteborg, Sweden

    Alexander Stolin

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Abd-el-Malek, M.B., Helal, M.M. (2014). Semi Analytical Solutions of a Heat-Mass Transfer Problem Via Group Theoretic Approach. In: Makhlouf, A., Paal, E., Silvestrov, S., Stolin, A. (eds) Algebra, Geometry and Mathematical Physics. Springer Proceedings in Mathematics & Statistics, vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55361-5_35

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