NUMERICAL SOLUTION FOR VARIABLE VISCOSITY AND INTERNAL HEAT GENERATION EFFECTS ON BOUNDARY LAYER FLOW OVER AN EXPONENTIALLY STRETCHING POROUS SHEET WITH CONSTANT HEAT FLUX AND THERMAL RADIATION
Journal of Mechanics • 2014
Publication Information
Authors
Ahmed M. Megahed
Keywords
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Journal
Journal of Mechanics
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Pages
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publication.type
International
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Supplementary Materials
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Abstract
A numerical study has been carried out to analyze the constant heat flux, internal heat generation, variable
viscosity and thermal radiation effects on the flow and heat transfer of a Newtonian fluid over an
exponentially stretching porous sheet. Using a similarity transformation, the governing partial differential
equations are transformed into coupled, non-linear ordinary differential equations with variable coefficients.
Numerical solutions to these equations subject to appropriate boundary conditions are obtained
by using an efficient Chebyshev spectral method. The effects of various physical parameters such as
viscosity parameter, the suction parameter, the radiation parameter, internal heat generation or absorption
parameter and the Prandtl number on velocity and temperature are discussed by using graphical approach.
Moreover, numerical results indicate that in the presence of constant heat flux, the skin-friction coefficient
as well as Nusselt number is strongly affected by the viscosity parameter, suction parameter, radiation
parameter and the internal heat generation parameter.
viscosity and thermal radiation effects on the flow and heat transfer of a Newtonian fluid over an
exponentially stretching porous sheet. Using a similarity transformation, the governing partial differential
equations are transformed into coupled, non-linear ordinary differential equations with variable coefficients.
Numerical solutions to these equations subject to appropriate boundary conditions are obtained
by using an efficient Chebyshev spectral method. The effects of various physical parameters such as
viscosity parameter, the suction parameter, the radiation parameter, internal heat generation or absorption
parameter and the Prandtl number on velocity and temperature are discussed by using graphical approach.
Moreover, numerical results indicate that in the presence of constant heat flux, the skin-friction coefficient
as well as Nusselt number is strongly affected by the viscosity parameter, suction parameter, radiation
parameter and the internal heat generation parameter.
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