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
Publication Information
Authors
Ahmed M. Megahed
Keywords
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Journal
Rheol Acta
Publisher
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Volume
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Issue
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Pages
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publication.type
International
Paper Link
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Supplementary Materials
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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.
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.
Staff Members - Benha University