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Heat Transfer of an Electrically Conducting Viscoelastic Fluid Over a Stretching Sheet

Published online by Cambridge University Press:  05 May 2011

I-C. Liu  and
C.-H. Kong
I-C. Liu*
Affiliation:
Department of Civil Engineering, National Chi Nan University, Nantou, Taiwan 545, R.O.C.
C.-H. Kong*
Affiliation:
Department of Engineering Science and Ocean Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
* Associate Professor
** Professor
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Abstract

The solutions for flow and heat transfer in a steady laminar boundary layer flow are presented analytically for an electrically conducting viscoelastic fluid, subject to a transverse uniform magnetic field, past a semi-infinite stretching sheet. The temperature profiles and thermal characteristics at the wall are drawn and tabulated for selected parameters with prescribed surface temperature (PST) and prescribed surface heat flux (PHF) conditions. We also give the asymptotic solutions for temperature when the Prandtl number is very large. It is found that the inclusion of Joule heating has a significant influence on the thermal characteristics at the wall and the wall heat transfer strongly depends on the Prandtl number Pr as well as the Eckert number Ec. The heat flow may transfer from the fluid to the wall when Ec is large rather than from wall to the fluid when Ec is small. A physical argument about the thermal characteristics at the wall is proposed.

Keywords

Viscoelastic fluidBoundary layer flowPST and PHFStretching sheet
Type
Articles
Information
Journal of Mechanics , Volume 21 , Issue 1 , March 2005 , pp. 5 - 13
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2005

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