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Driving innovations in manufacturing: Open Access research from DMEM

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Centred on the vision of 'Delivering Total Engineering', DMEM is a centre for excellence in the processes, systems and technologies needed to support and enable engineering from concept to remanufacture. From user-centred design to sustainable design, from manufacturing operations to remanufacturing, from advanced materials research to systems engineering.

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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.