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Exact solutions for free convection flow of nanofluids with ramped wall temperature

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Abstract

This article aims to study the unsteady convection flow of nanofluids induced by free convection and the oscillating plate condition. The fluid is confined to the region over an infinite vertical flat plate with ramped wall temperature. Five different types of water-based nanofluids containing copper (Cu), silver (Ag), copper oxide (CuO), alumina ( Al2O3 and titanium oxide (TiO2 are chosen for this analysis. The Laplace transform technique is applied to obtain exact solutions of velocity and temperature for both cases of ramp and isothermal plate conditions. Ramp and isothermal solutions are compared graphically and it is found that the ramp velocity and the temperature are smaller in magnitude than isothermal velocity and temperature. Corresponding expressions for skin-friction and Nusselt number are also evaluated. The results are plotted for various physical parameters contained in the governing equations and discussed in details. Comparison with earlier results provides an excellent agreement.

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Authors and Affiliations

  1. Department of Mathematics, SBK Women’s University, 87300, Quetta, Pakistan

    Asma Khalid

  2. Basic Sciences Department, College of Engineering, Majmaah University, 11952, Majmaah, Saudi Arabia

    Ilyas Khan

  3. Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310, UTM Skudai, Malaysia

    Asma Khalid & Sharidan Shafie

Authors
  1. Asma Khalid
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  2. Ilyas Khan
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  3. Sharidan Shafie
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Correspondence to Asma Khalid.

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Khalid, A., Khan, I. & Shafie, S. Exact solutions for free convection flow of nanofluids with ramped wall temperature. Eur. Phys. J. Plus 130, 57 (2015). https://doi.org/10.1140/epjp/i2015-15057-9

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  • DOI: https://doi.org/10.1140/epjp/i2015-15057-9

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