An analysis was carried out to describe the problem
of flow and heat transfer of Powell–Eyring fluid in
boundary layers on an exponentially stretching continuous
permeable surface with an exponential temperature
distribution in the presence of heat flux and variable thermal
conductivity. The governing partial differential equations
describing the problem were transformed into a set
of coupled non-linear ordinary differential equations and
then solved with a numerical technique using appropriate
boundary conditions for various physical parameters. The
numerical solution for the governing non-linear boundary
value problem is based on applying the shooting method
over the entire range of physical parameters. The effects of
various parameters like the thermal conductivity parameter,
suction parameter, dimensionless Powell–Eyring
parameters and the 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. In this work, special attention was given to
investigate the effect of the thermal conductivity parameter
on the velocity and temperature fields above the sheet
in the presence of heat flux. The numerical results were
also validated with results from a previously published
work on various special cases of the problem, and good
agreements were seen. |
