Analytical and numerical simulation investigation in effects of radiation and porosity on a non-orthogonal stagnation-point flow towards a stretching sheet

D. D. Ganji, S. Jafarmadar, B. Jalilpour, R. Rahimi, A. B. Shotorban () and Seyed H. Hashemi Kachapi
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D. D. Ganji: Babol Noshirvani University of Technology
S. Jafarmadar: Urmia University
B. Jalilpour: Urmia University
R. Rahimi: Urmia University
A. B. Shotorban: Islamic Azad University
Seyed H. Hashemi Kachapi: Babol Noshirvani University of Technology

Indian Journal of Pure and Applied Mathematics, 2014, vol. 45, issue 4, 415-432

Abstract: Abstract The steady two-dimensional non-orthogonal flow near the stagnation point on a stretching sheet embedded in a porous medium in the presence of radiation effects is studied. Using similarity variables, the nonlinear boundary-layer equations are solved analytically by homotopy perturbation method (HPM) employing Padé technique. Comparison between the results of HPM-Padé solution and numerical simulation as well as some other results which are available in the literature, demonstrates a very good agreement between them and the HPM-Padé solution provides a convenient way to control and adjust the convergence region of a system of nonlinear boundary-layer problems with high accurate. The effect of involved parameters such as striking angle, radiation parameter, porosity parameter and the Prandtl number on flow and heat transfer characteristics have been discussed with more details.

Keywords: Nonlinear boundary-layer problem; HPM-Padé; stagnation point; non-orthogonal flow; stretching sheet; heat transfer (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s13226-014-0071-x

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