期刊
HEAT AND MASS TRANSFER
卷 39, 期 8-9, 页码 791-796出版社
SPRINGER-VERLAG
DOI: 10.1007/S00231-002-0363-2
关键词
stretching surfaces; liquid film; power-law fluid
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 less than or equal to Pr less than or equal to 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 less than or equal to Pr less than or equal to 10, depending on the magnitude of S).
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