Homotopy Perturbation Method for Thin Film Flow and Heat Transfer over an Unsteady Stretching Sheet with Internal Heating and Variable Heat Flux
Journal of Applied Mathematics • 2012
Publication Information
Authors
I-Chung Liu and Ahmed M. Megahed
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Journal
Journal of Applied Mathematics
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publication.type
International
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Abstract
We have analyzed the effects of variable heat flux and internal heat generation on the flow and
heat transfer in a thin film on a horizontal sheet in the presence of thermal radiation. Similarity
transformations are used to transform the governing equations to a set of coupled nonlinear
ordinary differential equations. The obtained differential equations are solved approximately by
the homotopy perturbation method HPM. The effects of various parameters governing the flow
and heat transfer in this study are discussed and presented graphically. Comparison of numerical
results is made with the earlier published results under limiting cases.
heat transfer in a thin film on a horizontal sheet in the presence of thermal radiation. Similarity
transformations are used to transform the governing equations to a set of coupled nonlinear
ordinary differential equations. The obtained differential equations are solved approximately by
the homotopy perturbation method HPM. The effects of various parameters governing the flow
and heat transfer in this study are discussed and presented graphically. Comparison of numerical
results is made with the earlier published results under limiting cases.
Staff Members - Benha University