Staff Members - Benha University
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
Journal of Applied Mechanics and Technical Physics, Vol. 53, No. 5, pp. 710–721, 2012. • 2012
Publication Information
Authors
M. M. Khader and Ahmed M. Megahed
Keywords
Not Available
Journal
Journal of Applied Mechanics and Technical Physics, Vol. 53, No. 5, pp. 710–721, 2012.
Publisher
Not Available
Volume
Not Available
Issue
Not Available
Pages
Not Available
publication.type
International
Paper Link
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.
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.