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Similarity Solution of Marangoni Convection Boundary Layer Flow over a Flat Surface in a Nanofluid

Author

Listed:
  • Norihan Md. Arifin
  • Roslinda Nazar
  • Ioan Pop

Abstract

The problem of steady Marangoni boundary layer flow and heat transfer over a flat plate in a nanofluid is studied using different types of nanoparticles. The general governing partial differential equations are transformed into a set of two nonlinear ordinary differential equations using unique similarity transformation. Numerical solutions of the similarity equations are obtained using the Runge‐Kutta‐Fehlberg (RKF) method. Three different types of nanoparticles are considered, namely, Cu, Al2O3, and TiO2, by using water as a base fluid with Prandtl number Pr = 6.2. The effects of the nanoparticle volume fraction ϕ and the constant exponent m on the flow and heat transfer characteristics are obtained and discussed.

Suggested Citation

  • Norihan Md. Arifin & Roslinda Nazar & Ioan Pop, 2013. "Similarity Solution of Marangoni Convection Boundary Layer Flow over a Flat Surface in a Nanofluid," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
  • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:634746
    DOI: 10.1155/2013/634746
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    References listed on IDEAS

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    1. R. A. Hamid & W. M. K. A. Wan Zaimi & N. M. Arifin & N. A. A. Bakar & B. Bidin, 2012. "Thermal Diffusion and Diffusion Thermo Effects on MHD Thermosolutal Marangoni Convection Boundary Layer Flow over a Permeable Surface," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. R. A. Hamid & W. M. K. A. Wan Zaimi & N. M. Arifin & N. A. A. Bakar & B. Bidin, 2012. "Thermal Diffusion and Diffusion Thermo Effects on MHD Thermosolutal Marangoni Convection Boundary Layer Flow over a Permeable Surface," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, May.
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    Cited by:

    1. Domingo A. Tarzia, 2015. "Explicit Solutions for the Solomon‐Wilson‐Alexiades’s Mushy Zone Model with Convective or Heat Flux Boundary Conditions," Journal of Applied Mathematics, John Wiley & Sons, vol. 2015(1).

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