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Slip Flow of Powell-Eyring Liquid Film Due to an Unsteady Stretching Sheet with Heat Generation

  • General and Applied Physics
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Abstract

This paper is focused on the study of the viscous Powell-Eyring liquid thin film flow and heat transfer driven by an unsteady stretching sheet in the presence of slip velocity and non-uniform heat generation. A system of equations for momentum and thermal energy are reduced to a set of coupled non-linear ordinary differential equations with the aid of dimensionless transformation. The resulting seven-parameter problem has been solved numerically by using an efficient shooting technique coupled with the fourth-order Runge-Kutta algorithm over the entire range of physical parameters. To interpret various physical parameters governing the flow and heat transfer which appear in the momentum and energy equations, the results are presented graphically. The present results are compared with some of the earlier published work in some limiting cases and are found to be in an excellent agreement. This favorable comparison lends confidence in the numerical results to be reported in the present work. Furthermore, the effects of the parameters governing the thin film flow and heat transfer are examined and discussed through graphs and tables. Also, the values of the local skin-friction coefficient and the local Nusselt number for different values of physical parameters are presented through tables. Additionally, the obtained results for some particular cases of the present problem appear in good agreement with the literature review.

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Acknowledgments

The authors wishes to express their sincere thanks to the honorable editor and referees for their valuable comments and suggestions which led to definite improvement of the paper.

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Authors and Affiliations

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

    Mostafa A. A. Mahmoud & Ahmed M. Megahed

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  1. Mostafa A. A. Mahmoud
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  2. Ahmed M. Megahed
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Correspondence to Ahmed M. Megahed.

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Mahmoud, M.A.A., Megahed, A.M. Slip Flow of Powell-Eyring Liquid Film Due to an Unsteady Stretching Sheet with Heat Generation. Braz J Phys 46, 299–307 (2016). https://doi.org/10.1007/s13538-016-0412-9

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  • DOI: https://doi.org/10.1007/s13538-016-0412-9

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