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HPM for the slip velocity effect on a liquid film over an unsteady stretching surface with variable heat flux

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Abstract

This article presents a numerical solution for the unsteady slip velocity flow of a thin viscous liquid film over a heated horizontal stretching surface in the presence of variable heat flux. Similarity transformations are used to transform the governing equations to a set of coupled non-linear 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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt

    Ahmed M. Megahed

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  1. Ahmed M. Megahed
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Correspondence to Ahmed M. Megahed.

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Megahed, A.M. HPM for the slip velocity effect on a liquid film over an unsteady stretching surface with variable heat flux. Eur. Phys. J. Plus 126, 82 (2011). https://doi.org/10.1140/epjp/i2011-11082-0

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  • DOI: https://doi.org/10.1140/epjp/i2011-11082-0

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