## 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

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

Original language | English |
---|---|

Title of host publication | Proceedings of the 10th UK national conference on heat transfer |

Place of Publication | Corning |

Publication status | Published - 2007 |

## Keywords

- non-isothermal
- thin-film flow
- stationary
- rotating cylinder