This paper is focused on the study for the
effects of constant heat flux and thermal buoyancy on
the steady two-dimensional flow and heat transfer of a
non-Newtonian power-law fluid over a non-linearly
stretching vertical surface in the presence of thermal
radiation. Highly nonlinear momentum and thermal
boundary layer equations which governing the flow
and heat transfer are reduced to a set of nonlinear
ordinary differential equations by appropriate transformation.
The resulting ODEs are successfully solved
numerically with the help of fourth order Runge–Kutta
method coupled with the shooting technique. The
effects of various parameters like the buoyancy
(mixed convection) parameter, the radiation parameter,
power-law index parameter and the local
Prandtl number on the flow and temperature profiles as
well as on the local skin-friction coefficient and the
local Nusselt number are presented and discussed.
Favorable comparisons of numerical results with
previously published work on various special cases
of the problem are obtained.