A theoretical analysis for the laminar momentum and energy boundary layer on a moving flat surface in power law fluids is made. The results indicate that while the plate moves in the direction of the flow, the boundary layer problem has a unique solution. Both skin friction and shear stress decrease with the increase of the ratio of the surface velocity to the free stream velocity and the power law n, the thermal diffusion ratio increases with the increase of n and ξ. However, in the case of the plate moving opposite to the flow, it is shown that the boundary layer solutions do not exist when velocity ratio ξ is larger than a positive critical value ξ*. For 0 < ξ < ξ*, the boundary layer solutions are found to be non-unique. Both superior and inferior solutions are noticeable. Skin friction and shear force for the superior solution decrease with the increase of the velocity ratio ξ. This is opposite for the inferior solution. The skin friction for both superior solution and inferior solution decrease with the increase of power law n. The result reveal the relations between momentum and thermal transfer, as well as the effects of parameters Pr, n and ξ on the transport process.
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ASME 2003 Heat Transfer Summer Conference
July 21–23, 2003
Las Vegas, Nevada, USA
Conference Sponsors:
- Heat Transfer Division
ISBN:
0-7918-3693-2
PROCEEDINGS PAPER
Skin Friction and Heat Transfer on a Continuous Moving Flat Surface in Power Fluids
Xinxin Zhang,
Xinxin Zhang
Beijing University of Science and Technology, Beijing, China
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Liancun Zheng,
Liancun Zheng
Beijing University of Science and Technology, Beijing, China
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Jicheng He
Jicheng He
Northeastern University, Shenyang, China
Search for other works by this author on:
Xinxin Zhang
Beijing University of Science and Technology, Beijing, China
Liancun Zheng
Beijing University of Science and Technology, Beijing, China
Jicheng He
Northeastern University, Shenyang, China
Paper No:
HT2003-47339, pp. 419-425; 7 pages
Published Online:
December 17, 2008
Citation
Zhang, X, Zheng, L, & He, J. "Skin Friction and Heat Transfer on a Continuous Moving Flat Surface in Power Fluids." Proceedings of the ASME 2003 Heat Transfer Summer Conference. Heat Transfer: Volume 1. Las Vegas, Nevada, USA. July 21–23, 2003. pp. 419-425. ASME. https://doi.org/10.1115/HT2003-47339
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