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Heat Generation/Absorption Effects in a Boundary Layer Stretched Flow of Maxwell Nanofluid: Analytic and Numeric Solutions

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  • Muhammad Awais
  • Tasawar Hayat
  • Sania Irum
  • Ahmed Alsaedi

Abstract

Analysis has been done to investigate the heat generation/absorption effects in a steady flow of non-Newtonian nanofluid over a surface which is stretching linearly in its own plane. An upper convected Maxwell model (UCM) has been utilized as the non-Newtonian fluid model in view of the fact that it can predict relaxation time phenomenon which the Newtonian model cannot. Behavior of the relaxations phenomenon has been presented in terms of Deborah number. Transport phenomenon with convective cooling process has been analyzed. Brownian motion “Db” and thermophoresis effects “Dt” occur in the transport equations. The momentum, energy and nanoparticle concentration profiles are examined with respect to the involved rheological parameters namely the Deborah number, source/sink parameter, the Brownian motion parameters, thermophoresis parameter and Biot number. Both numerical and analytic solutions are presented and found in nice agreement. Comparison with the published data is also made to ensure the validity. Stream lines for Maxwell and Newtonian fluid models are presented in the analysis.

Suggested Citation

  • Muhammad Awais & Tasawar Hayat & Sania Irum & Ahmed Alsaedi, 2015. "Heat Generation/Absorption Effects in a Boundary Layer Stretched Flow of Maxwell Nanofluid: Analytic and Numeric Solutions," PLOS ONE, Public Library of Science, vol. 10(6), pages 1-18, June.
    • Handle: RePEc:plo:pone00:0129814
    DOI: 10.1371/journal.pone.0129814
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    Cited by:

    1. Anwar Shahid & Hulin Huang & Muhammad Mubashir Bhatti & Lijun Zhang & Rahmat Ellahi, 2020. "Numerical Investigation on the Swimming of Gyrotactic Microorganisms in Nanofluids through Porous Medium over a Stretched Surface," Mathematics, MDPI, vol. 8(3), pages 1-18, March.
    2. Haifaa Alrihieli & Mohammed Alrehili & Ahmed M. Megahed, 2022. "Radiative MHD Nanofluid Flow Due to a Linearly Stretching Sheet with Convective Heating and Viscous Dissipation," Mathematics, MDPI, vol. 10(24), pages 1-13, December.

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