Computational Modelling of Nanofluids Flow Over a Convectively Heated Unsteady Stretching Sheet

Oluwole   Daniel   Makinde

doi:10.2174/15734137113099990068

Abstract

The thermal boundary layer of nanofluids over an unsteady stretching sheet with a convective surface boundary condition is investigated. Two types of water based Newtonian nanofluids containing metallic or nonmetallic nanoparticles such as Copper (Cu) and Alumina (Al₂O₃) are considered from a theoretical viewpoint and for a range of nanoparticle volume fractions. Using a similarity transformation the governing time dependent nonlinear boundary layer equations for momentum and thermal energy are reduced to a set of nonlinear ordinary differential equations. The resulting four-parameter problem is solved numerically using fourth order Runge-Kutta integration scheme with shooting technique for some representative values of the unsteadiness parameter (A), the Prandtl number (Pr), local Biot number (Bi) and solid volume fraction parameter (Φ). It is shown the both the shear stress and heat transfer rate at the sheet surface are higher for Cu-water as compared to Al₂O₃-water. Besides, it is found that the heat transfer rate at the surface decreases with increasing flow unsteadiness (A) and increases with increasing with increasing Bi and Φ. A comparison with a previous study available in the literature has been done and we found an excellent agreement with them.

Keywords: Unsteady stretching sheet, nanofluids, convective heating, thermal boundary layer.

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