期刊
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
卷 43, 期 1, 页码 69-74出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0017-9310(99)00123-4
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The momentum and heat transfer in a laminar liquid film on a horizontal stretching sheet is analysed. The governing time-dependent boundary layer equations are reduced to a set of ordinary differential equations by means of an exact similarity transformation. The resulting two-parameter problem is solved numerically for some representative values of the unsteadiness parameter S for Prandtl numbers from 0.001 to 1000. The temperature is observed to increase monotonically from the elastic sheet towards the free surface except in the high diffusivity limit Pr --> 0 where the surface temperature approaches that of the sheet. A low stretching rate, i.e. high values of S, tends to reduce the surface temperature for all Prandtl numbers. The heat flux from the liquid to the elastic sheet decreases with S for Pr less than or similar to 0.1 and increases with increased unsteadiness for Pr greater than or similar to 1. (C) 1999 Elsevier Science Ltd. All rights reserved.
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