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Heat transfer in a power-law fluid film over a unsteady stretching sheet

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Abstract

In this paper the problem of momentum and heat transfer in a thin liquid film of power-law fluid on an unsteady stretching surface has been studied. Numerical solutions are obtained for some representative values of the unsteadiness parameter S and the power-law index n for a wide range of the generalized Prandtl number, 0.001 ≤ Pr ≤ 1000. Typical temperature and velocity profiles, the dimensionless film thickness, free-surface temperature, and the surface heat fluxes are presented at selected controlling parameters. The results show that increasing the value of n tends to increase the boundary-layer thickness and broadens the temperature distributions. The free-surface temperature of a shear thinning fluid is larger than that of a Newtonian fluid, but the opposite trend is true for a shear thickening fluid. For small generalized Prandtl numbers, the surface heat flux increases with a decrease in n, but the impacts of n on the heat transfer diminish for Pr greater than a moderate value (approximately 1 ≤ Pr ≤ 10, depending on the magnitude of S).

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Acknowledgements

This study was supported by a grant from the National Science Council of Republic of China (NSC 89–2212–E–150–045). Also, the author would like to thank the reviewer for his constructive suggestions.

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  1. Department of Mechanical Design Engineering, National Huwei Institute of Technology, Huwei, Yunlin, 632 Taiwan, Taiwan

    Chien-Hsin Chen

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  1. Chien-Hsin Chen
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Correspondence to Chien-Hsin Chen.

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Chen, CH. Heat transfer in a power-law fluid film over a unsteady stretching sheet. Heat and Mass Transfer 39, 791–796 (2003). https://doi.org/10.1007/s00231-002-0363-2

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  • DOI: https://doi.org/10.1007/s00231-002-0363-2

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