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Nanofluid flow towards a convectively heated stretching surface with heat source/sink: a lie group analysis

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Abstract

This paper considers the steady two dimensional flow of an electrically conducting nanofluid over a vertical convectively heated permeable stretching surface with variable stream conditions in presence of a uniform transverse magnetic field and internal heat source/sink. The transport equations include the effects of Brownian motion and thermophoresis. The governing partial differential equations are converted to ordinary differential equations via Lie group analysis. We employ an extensively validated, highly efficient symbolic software MATHEMATICA using finite difference code to study the problem numerically. The influences of various relevant parameters on the temperature and nanoparticle volume fraction as well as wall heat flux and wall mass flux are elucidated through graphs and tables.

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Acknowledgments

The authors wish to express their very sincere thanks to the honorable referees for the valuable comments and suggestions to improve the quality of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, 700032, West Bengal, India

    Prabir Kumar Kundu & Subrata Jana

  2. Department of Mathematics, Kalyani Government Engineering College, Kalyani, 741235, West Bengal, India

    Kalidas Das

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  1. Prabir Kumar Kundu
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  2. Kalidas Das
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  3. Subrata Jana
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Correspondence to Kalidas Das.

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Kundu, P.K., Das, K. & Jana, S. Nanofluid flow towards a convectively heated stretching surface with heat source/sink: a lie group analysis. Afr. Mat. 25, 363–377 (2014). https://doi.org/10.1007/s13370-012-0124-4

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  • DOI: https://doi.org/10.1007/s13370-012-0124-4

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