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Dr. Ahmed Mostafa Abdel Bakey Megahed :: Publications:

Title:
ON THE NUMERICAL SOLUTION FOR THE FLOW AND HEAT TRANSFER IN A THIN LIQUID FILM OVER AN UNSTEADY STRETCHING SHEET IN A SATURATED POROUS MEDIUM IN THE PRESENCE OF THERMAL RADIATION
Authors: M. M. Khader and Ahmed M. Megahed
Year: 2012
Keywords: Not Available
Journal: Journal of Applied Mechanics and Technical Physics, Vol. 53, No. 5, pp. 710–721, 2012.
Volume: Not Available
Issue: Not Available
Pages: Not Available
Publisher: Not Available
Local/International: International
Paper Link: Not Available
Full paper Not Available
Supplementary materials Not Available
Abstract:

The problem of the flow and heat transfer over an unsteady stretching sheet embedded in a porous medium in the presence of thermal radiation is studied theoretically and numerically. The continuity, momentum, and energy equations, which are coupled nonlinear partial differential equations, are reduced to a set of two nonlinear ordinary differential equations. Special attention is given to study the convergence of the proposed method. The error estimation is also given. The effects of various parameters, such as the Darcy parameter, the radiation parameter, and the Prandtl number, on the flow and temperature profiles, as well as on the local skin-friction coefficient and the local Nusselt number are presented and discussed. The results obtained agree very well with the data obtained by the Runge–Kutta method coupled with the shooting technique.

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