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Open Access Nano Express

Stagnation-point flow over a stretching/shrinking sheet in a nanofluid

Norfifah Bachok1, Anuar Ishak2* and Ioan Pop3

Author Affiliations

1 Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia

2 School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia

3 Faculty of Mathematics, University of Cluj, CP 253, 3400 Cluj, Romania

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Nanoscale Research Letters 2011, 6:623  doi:10.1186/1556-276X-6-623

Published: 8 December 2011

Abstract

An analysis is carried out to study the steady two-dimensional stagnation-point flow of a nanofluid over a stretching/shrinking sheet in its own plane. The stretching/shrinking velocity and the ambient fluid velocity are assumed to vary linearly with the distance from the stagnation point. The similarity equations are solved numerically for three types of nanoparticles, namely copper, alumina, and titania in the water-based fluid with Prandtl number Pr = 6.2. The skin friction coefficient, Nusselt number, and the velocity and temperature profiles are presented graphically and discussed. Effects of the solid volume fraction φ on the fluid flow and heat transfer characteristics are thoroughly examined. Different from a stretching sheet, it is found that the solutions for a shrinking sheet are non-unique.

Keywords:
nanofluids; stagnation-point flow; heat transfer; stretching/shrinking sheet; dual solutions.