Flow and heat transfer in a Maxwell liquid film over an unsteady stretching sheet in a porous medium with radiation
SpringerPlus • 2016
Publication Information
Authors
shimaa e waheed
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Journal
SpringerPlus
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publication.type
International
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Abstract
A problem of flow and heat transfer in a non-Newtonian Maxwell liquid film over an
unsteady stretching sheet embedded in a porous medium in the presence of a thermal
radiation is investigated. The unsteady boundary layer equations describing the problem
are transformed to a system of non-linear ordinary differential equations which is
solved numerically using the shooting method. The effects of various parameters like
the Darcy parameter, the radiation parameter, the Deborah number 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. It is observed that
increasing values of the Darcy parameter and the Deborah number cause an increase
of the local skin-friction coefficient values and decrease in the values of the local Nusselt
number. Also, it is noticed that the local Nusselt number increases as the Prandtl
number increases and it decreases with increasing the radiation parameter. However, it
is found that the free surface temperature increases by increasing the Darcy parameter,
the radiation parameter and the Deborah number whereas it decreases by increasing
the Prandtl number.
unsteady stretching sheet embedded in a porous medium in the presence of a thermal
radiation is investigated. The unsteady boundary layer equations describing the problem
are transformed to a system of non-linear ordinary differential equations which is
solved numerically using the shooting method. The effects of various parameters like
the Darcy parameter, the radiation parameter, the Deborah number 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. It is observed that
increasing values of the Darcy parameter and the Deborah number cause an increase
of the local skin-friction coefficient values and decrease in the values of the local Nusselt
number. Also, it is noticed that the local Nusselt number increases as the Prandtl
number increases and it decreases with increasing the radiation parameter. However, it
is found that the free surface temperature increases by increasing the Darcy parameter,
the radiation parameter and the Deborah number whereas it decreases by increasing
the Prandtl number.
Staff Members - Benha University