Numerical Investigation of Transient Natural Convection of Viscoelastic Fluid Due to a Nonlinearly Stretching Surfaces with a Power-Law Surface Temperature

Mohammed      Q. Al-Odat

doi:10.2174/2212797611205030184

Abstract

Transient boundary layer flow and heat transfer of a viscoelastic fluid due to non-linearly stretching surface subject to a power-law surface temperature are investigated numerically. The dimensionless unsteady, coupled and nonlinear partial governing differential equations are solved by an implicit finite difference scheme of Crank-Nicolson type. The effects of various parameters entering into the problem on the flow and heat transfer transient characteristics are studied. It was found that, the velocity inside the boundary layer increases as the viscoelastic parameter increases, and accordingly the skin friction coefficient increases. Meanwhile, an opposite behavior is observed for the temperature profiles. The power-law index has significant influences on the temperature profiles and the Nusselt. The computed numerically results are compared with previously reported work and were found to be in excellent agreement. This paper is the first attempt in introducing the heat transfer of a viscoelastic fluid due to non-linearly stretching surface subject to a power-law surface temperature and this model is essential in many patents based on drawing devices for viscoelastic fluid over a non-linearly stretching surface subject to a power-law surface temperature.

Keywords: Non-linearly stretching surfaces, numerical solution, transient free convection, viscoelastic fluid, viscous dissipation, transient natural convection, mathematical analysis, visco-elastic parameter, power-law surface, temperature parameters.