### Abstract

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

Place of Publication | Corning |

Publication status | Published - 2007 |

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### Keywords

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

### Cite this

*Proceedings of the 10th UK national conference on heat transfer*Corning.

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*Proceedings of the 10th UK national conference on heat transfer.*Corning.

**Non-isothermal thin-film flow on a stationary or rotating cylinder.** / Duffy, B.R.; Wilson, S.K.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book

TY - GEN

T1 - Non-isothermal thin-film flow on a stationary or rotating cylinder

AU - Duffy, B.R.

AU - Wilson, S.K.

PY - 2007

Y1 - 2007

N2 - 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

AB - 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

KW - non-isothermal

KW - thin-film flow

KW - stationary

KW - rotating cylinder

UR - http://www.iscst.org/pages/ECSConf/ECS2007/Posters/Duffy_07.pdf

M3 - Conference contribution book

BT - Proceedings of the 10th UK national conference on heat transfer

CY - Corning

ER -