Duffy, B.R. and Wilson, S.K. (2007) *Non-isothermal thin-film flow on a stationary or rotating cylinder.* In: Proceedings of the 10th UK national conference on heat transfer. International Society of Coating Science and Technology, Corning.

## Abstract

We investigate steady two-dimensional °ow of a thin ¯lm of °uid with temperature-dependent vis-cosity on a uniformly heated or cooled horizontal cylinder, which may be stationary or rotating about its axis. We show that increasing (decreasing) the ambient temperature has the e®ect of making the ¯lm thinner (thicker). For °ow on a rotating cylinder we determine the critical mass Mc beyond which a continuous solution is not possible. Also we show that at large Biot number the ¯lm thickness (but not the °uid velocity) can be obtained from that in the isothermal case by a simple re-scaling

Item type: | Book Section |
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ID code: | 34332 |

Keywords: | non-isothermal , thin-film flow, stationary, rotating cylinder, Probabilities. Mathematical statistics |

Subjects: | Science > Mathematics > Probabilities. Mathematical statistics |

Department: | Faculty of Science > Mathematics and Statistics |

Related URLs: | |

Depositing user: | Pure Administrator |

Date Deposited: | 18 Nov 2011 16:58 |

Last modified: | 06 Sep 2014 07:24 |

URI: | http://strathprints.strath.ac.uk/id/eprint/34332 |

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