Abstract
The steady two-dimensional flow and heat transfer over a stretching/shrinking sheet in a nanofluid is investigated using Buongiorno’s nanofluid model. Different from the previously published papers, in the present study we consider the case when the nanofluid particle fraction on the boundary is passively rather than actively controlled, which make the model more physically realistic. The governing partial differential equations are transformed into nonlinear ordinary differential equations by a similarity transformation, before being solved numerically by a shooting method. The effects of some governing parameters on the fluid flow and heat transfer characteristics are graphically presented and discussed. Dual solutions are found to exist in a certain range of the suction and stretching/shrinking parameters. Results also indicate that both the skin friction coefficient and the local Nusselt number increase with increasing values of the suction parameter.
Highlights
The analysis of boundary layer flow and heat transfer of an incompressible fluid across a stretching sheet has gained attention of many researchers
The study of flow over a stretching sheet was pioneered by Crane [1] who solved analytically the steady two-dimensional flow past a linearly stretching plate
We aim to investigate the problem of fluid flow due to a permeable stretching/shrinking sheet in a nanofluid
Summary
The analysis of boundary layer flow and heat transfer of an incompressible fluid across a stretching sheet has gained attention of many researchers. Since many researchers have investigated various aspects of this type of flow such as Ibrahim and Shankar [3], Rosca and Pop [4], Nandy and Mahapatra [5], Kumaran et al [6], Turkyilmazoglu [7], Ishak et al [8,9,10], Yacob et al [11] and Hussain et al [12], among others They have studied the fluid flow and some characteristics of heat transfer towards a stretching sheet in the presence of magnetic field, slip effect, convective boundary conditions, suction/injection, viscous dissipation, radiation effect and heat generation/absorption considering different types of fluid such as nanofluid, viscoelastic fluid and micropolar fluid
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