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

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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
LanguageEnglish
Title of host publicationProceedings of the 10th UK national conference on heat transfer
Place of PublicationCorning
Publication statusPublished - 2007

Fingerprint

Biot number
critical mass
rotating cylinders
ambient temperature
scaling
thin films
temperature

Keywords

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

Cite this

Duffy, B. R., & 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 Corning.
Duffy, B.R. ; Wilson, S.K. / Non-isothermal thin-film flow on a stationary or rotating cylinder. Proceedings of the 10th UK national conference on heat transfer. Corning, 2007.
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Duffy, BR & Wilson, SK 2007, Non-isothermal thin-film flow on a stationary or rotating cylinder. in 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.

Proceedings of the 10th UK national conference on heat transfer. Corning, 2007.

Research output: Chapter in Book/Report/Conference proceedingConference 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 -

Duffy BR, Wilson SK. Non-isothermal thin-film flow on a stationary or rotating cylinder. In Proceedings of the 10th UK national conference on heat transfer. Corning. 2007