Laminar thermal boundary layer model for power-law fluids over a permeable surface with convective boundary condition

摘要

In this paper, numerical solutions are obtained for the steady laminar boundary layer non-Newtonian flow on a horizontal plate with convective boundary condition. We adopt for the non-Newtonian fluid the well-known model of a power-law fluid. The governing non-dimensional boundary layer equations are transformed into ordinary differential equations using similarity transformation which are then solved numerically. The numerical results for different values of the constant n representing the power-law index, the Prandtl number, the convective parameter and the transpiration rate at the surface are obtained. The effects of various values on the velocity profiles, temperature profiles, surface temperature and thermal boundary layer thickness are presented and discussed.