Large-Biot-number non-isothermal flow of a thin film on a stationary or rotating cylinder

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 tra...

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Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2009, Vol.166 (1), p.147-150
Main Authors: Duffy, B. R., Wilson, S. K.
Format: Article
Language:English
Subjects:
Applied fluid mechanics
Atomic
Classical and Continuum Physics
Condensed Matter Physics
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Hydrodynamics, hydraulics, hydrostatics
Materials Science
Measurement Science and Instrumentation
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Regular Article
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Summary: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.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2009-00896-8