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

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  • 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, Al 2 O 3 , and TiO 2 , by using water as a base fluid with Prandtl number . The effects of the nanoparticle volume fraction 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, Hindawi, vol. 2013, pages 1-8, December.
    • Handle: RePEc:hin:jnljam:634746
    DOI: 10.1155/2013/634746
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