Unsteady boundary layer flow of a nanofluid over a stretching/shrinking sheet with a convective boundary condition

Authors

1 Department of Mathematics and Statistics, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, 86400 Parit Raja, Batu Pahat, Johor, Malaysia

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

10.1016/j.joems.2015.11.004

Abstract

The unsteady boundary layer flow of a nanofluid past a stretching/shrinking sheet with a
convective surface boundary condition is studied. The effects of the unsteadiness parameter, stretch-
ing/shrinking parameter, convective parameter, Brownian motion parameter and thermophoresis
parameter on the local Nusselt number are investigated. Numerical solutions to the governing equations
are obtained using a shooting method. The results for the local Nusselt number are presented
for different values of the governing parameters. The local Nusselt number decreases as the stretch-
ing/shrinking parameter increases. The local Nusselt number is consistently higher for higher values
of the convective parameter but lower for higher values of the unsteadiness parameter, Brownian
motion parameter and thermophoresis parameter.

Keywords