Stagnation-point flow past a shrinking sheet in a nanofluid

• Authors: Roslinda Nazar , Mihaela Jaradat , Norihan Arifin , Ioan Pop
• Languages of publication: EN

Abstracts

EN

In this paper, the stagnation-point flow and heat transfer towards a shrinking sheet in a nanofluid is considered. The nonlinear system of coupled partial differential equations was transformed and reduced to a nonlinear system of coupled ordinary differential equations, which was solved numerically using the shooting method. Numerical results were obtained for the skin friction coefficient, the local Nusselt number as well as the velocity and temperature profiles for some values of the governing parameters, namely the nanoparticle volume fraction φ, the shrinking parameter λand the Prandtl number Pr. Three different types of nanoparticles are considered, namely Cu, Al2O3 and TiO2. It was found that nanoparticles of low thermal conductivity, TiO2, have better enhancement on heat transfer compared to nanoparticles Al2O3 and Cu. For a particular nanoparticle, increasing the volume fraction φ results in an increase of the skin friction coefficient and the heat transfer rate at the surface. It is also found that solutions do not exist for larger shrinking rates and dual solutions exist when λ < −1.0.

Keywords

EN

nanofluid; boundary layer; stagnation-point flow; shrinking sheet; dual solutions

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2011
• Volume: 9
• Issue: 5
• Pages: 1195-1202

Dates

published

1 - 10 - 2011

online

15 - 9 - 2011

Contributors

author

Roslinda Nazar

• Centre for Modelling & Data Analysis, School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600, UKM Bangi, Selangor, Malaysia

author

Mihaela Jaradat

• Faculty of Mathematics, University of Cluj, R-3400, Cluj, CP 253, Romania

author

Norihan Arifin

• Institute for Mathematical Research & Department of Mathematics, Universiti Putra Malaysia, 43400, UPM Serdang, Selangor, Malaysia

author

Ioan Pop

• Faculty of Mathematics, University of Cluj, R-3400, Cluj, CP 253, Romania

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Identifiers

DOI

10.2478/s11534-011-0024-5