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Full Length Research Paper
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Heat transfer over an unsteady porous stretching surface
embedded in a porous medium with variable heat flux in the
presence of heat source or sink
E. M. A.
Elbashbeshy1*, D. M. Yassmin2 and A.
A. Dalia3
1Department
of mathematics, Faculty of Science, Ain-Shams University,
Cairo, Egypt.
2Department
of Mathematics, Faculty of Science, Al-Ismailia, Suez Canal
University, Egypt.
3Department
of Mathematics, Faculty of Science, Port Said, Suez Canal
University, Egypt.
*Corresponding author. E-mail:
elbashbeshy10@hotmail.com.
Accepted 21 April, 2010 |
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Abstract |
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The unsteady boundary layer flow over a porous stretching
surface embedded in a porous medium in the presence of heat
source or sink is studied. The unsteadiness in the flow and
temperature fields is caused by the time dependence of the
stretching velocity and the surface heat flux. The governing
partial differential equations are transformed into a system of
ordinary differential equations, which is then solved
numerically by applying shooting method using Runge-Kutta
method. The solution is found to be dependent on the governing
parameters including the Prandtl number, porous parameter, heat
source /sink parameter, suction or injection parameter and
unsteadiness parameter. Comparison of numerical results is made
with previously published results under the special cases, and
found to be in good agreement. Effects of the Prandtl number,
porous parameter, heat source /sink parameter, suction or
injection parameter and unsteadiness parameter on the flow and
heat transfer are examined.
Key words: Unsteady flow, boundary layer flow, stretching
surface, heat transfer,
porous medium and
source /sink, suction or injection.
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