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

Norihan Md. Arifin, Roslinda Nazar and Ioan Pop

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/634746

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:634746

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