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Numerical Study for the Flow and Heat Transfer in a Thin Liquid Film Over an Unsteady Stretching Sheet with Variable Fluid Properties in the Presence of Thermal Radiation

Published online by Cambridge University Press:  08 May 2012

I-C. Liu  and
A. M. Megahed
I-C. Liu*
Affiliation:
Department of Civil Engineering, National Chi Nan University, Nantou, Taiwan 54561, R.O.C
A. M. Megahed
Affiliation:
Department of Mathematics, Faculty of Science, Benha University, Benha, Al Qalyobia 13518, Egypt
*
*Corresponding author (icliu@ncnu.edu.tw)
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Abstract

In this paper, the effect of thermal radiation, variable viscosity and variable thermal conductivity on the flow and heat transfer of a thin liquid film over an unsteady stretching sheet is analyzed. The continuity, momentum and energy equations, which are coupled nonlinear partial differential equations, are reduced to a set of two non-linear ordinary differential equations, before being solved numerically. Results for the skin-friction coefficient, local Nusselt number, velocity profiles as well as temperature profiles are presented for different values of the governing parameters. It is found that increasing the viscosity parameter leads to a rise in the velocity near the surface of the sheet and a fall in the temperature. Furthermore, it is shown that the temperature increases due to an increase in the values of the thermal conductivity parameter and the thermal radiation parameter, while it decreases with an increase of the Prandtl number.

Keywords

Liquid filmUnsteady stretching sheetThermal radiationVariable fluid propertiesSimilarity transformation

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Type
Articles
Information
Journal of Mechanics , Volume 28 , Issue 2 , June 2012 , pp. 291 - 297
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

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