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Large-Biot-number non-isothermal flow of a thin film on a stationary or rotating cylinder

Duffy, B.R. and Wilson, S.K. (2009) Large-Biot-number non-isothermal flow of a thin film on a stationary or rotating cylinder. European Physical Journal - Special Topics, 166. pp. 147-150. ISSN 1951-6355

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    Abstract

    Using the lubrication approximation we investigate two-dimensional steady flow of a thin film of fluid with temperature-dependent viscosity on a uniformly heated or cooled horizontal cylinder, which may be stationary or rotating about its axis, in the case when the Biot number (a measure of heat transfer at the free surface) is large. We show that the film thickness (but not the fluid velocity) may be obtained from that in the isothermal case by a simple re-scaling.

    Item type: Article
    ID code: 14240
    Keywords: two-dimensional steady flow, non-isothermal flow, Biot number, Mathematics
    Subjects: Science > Mathematics
    Department: Faculty of Science > Mathematics and Statistics
    Related URLs:
    Depositing user: Mrs Mary McAuley
    Date Deposited: 21 Jan 2010 12:57
    Last modified: 14 Mar 2012 20:22
    URI: http://strathprints.strath.ac.uk/id/eprint/14240

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