Stagnation-point flow past a shrinking sheet in a nanofluid

Roslinda Mohd. Nazar, Mihaela Jaradat, Norihan M. Arifin, Ioan Pop

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1195-1202
Number of pages8
JournalCentral European Journal of Physics
Volume9
Issue number5
DOIs
Publication statusPublished - Oct 2011

Fingerprint

stagnation point
nanoparticles
skin friction
heat transfer
nonlinear systems
coefficient of friction
Prandtl number
Nusselt number
partial differential equations
temperature profiles
differential equations
thermal conductivity
velocity distribution
augmentation

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Stagnation-point flow past a shrinking sheet in a nanofluid. / Mohd. Nazar, Roslinda; Jaradat, Mihaela; Arifin, Norihan M.; Pop, Ioan.

In: Central European Journal of Physics, Vol. 9, No. 5, 10.2011, p. 1195-1202.

Research output: Contribution to journalArticle

Mohd. Nazar, Roslinda ; Jaradat, Mihaela ; Arifin, Norihan M. ; Pop, Ioan. / Stagnation-point flow past a shrinking sheet in a nanofluid. In: Central European Journal of Physics. 2011 ; Vol. 9, No. 5. pp. 1195-1202.
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