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

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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.
Original languageEnglish
Pages (from-to)147-150
Number of pages4
JournalEuropean Physical Journal - Special Topics
Volume166
DOIs
Publication statusPublished - 2009

Keywords

  • two-dimensional steady flow
  • non-isothermal flow
  • Biot number

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