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.
Similar content being viewed by others
References
S.F. Kistler, P.M. Schweizer (eds.), Liquid Film Coating (Chapman & Hall, 1997)
W. Nusselt, Z. Vereines, Deutsch. Ing. 60, 541 (1916)
W. Nusselt, Z. Vereines, Deutsch. Ing. 60, 569 (1916)
H.K. Moffatt, J. Méc. 16, 651 (1977)
R.E. Johnson, J. Fluid Mech. 190, 321 (1988)
S.K. Wilson, B.R. Duffy, J. Eng. Math. 42, 359 (2002)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Duffy, B., Wilson, S. Large-Biot-number non-isothermal flow of a thin film on a stationary or rotating cylinder. Eur. Phys. J. Spec. Top. 166, 147–150 (2009). https://doi.org/10.1140/epjst/e2009-00896-8
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjst/e2009-00896-8