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Variable viscosity and slip velocity effects on the flow and heat transfer of a power-law fluid over a non-linearly stretching surface with heat flux and thermal radiation

Rheol Acta • 2012
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Publication Information
Authors Ahmed M. Megahed
Keywords Not Available
Journal Rheol Acta
Publisher Not Available
Volume Not Available
Issue Not Available
Pages Not Available
publication.type International
Paper Link Not Available
Supplementary Materials Not Available
Abstract
The flow and heat transfer of a non-
Newtonian power-law fluid over a non-linearly stretching
surface has been studied numerically under conditions
of constant heat flux and thermal radiation and
evaluated for the effect of wall slip. The governing
partial differential equations are transformed into a set
of coupled non-linear ordinary differential equations
which are using appropriate boundary conditions for
various physical parameters. The remaining set of ordinary
differential equations is solved numerically by
fourth-order Runge–Kutta method using the shooting
technique. The effects of the viscosity, the slip velocity,
the radiation parameter, power-law index, and the
Prandtl number on the flow and temperature profiles
are presented. Moreover, the local skin friction and
Nusselt numbers are presented. Comparison of numerical
results is made with the earlier published results
under limiting cases.