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

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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.
LanguageEnglish
Pages147-150
Number of pages4
JournalEuropean Physical Journal - Special Topics
Volume166
DOIs
Publication statusPublished - 2009

Fingerprint

Biot number
rotating cylinders
Fluids
fluids
steady flow
Steady flow
lubrication
Lubrication
Film thickness
film thickness
heat transfer
Viscosity
viscosity
Heat transfer
scaling
Thin films
thin films
approximation
Temperature
temperature

Keywords

  • two-dimensional steady flow
  • non-isothermal flow
  • Biot number

Cite this

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title = "Large-Biot-number non-isothermal flow of a thin film on a stationary or rotating cylinder",
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.",
keywords = "two-dimensional steady flow, non-isothermal flow, Biot number",
author = "B.R. Duffy and S.K. Wilson",
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doi = "10.1140/epjst/e2009-00896-8",
language = "English",
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pages = "147--150",
journal = "European Physical Journal - Special Topics",
issn = "1951-6355",

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T1 - Large-Biot-number non-isothermal flow of a thin film on a stationary or rotating cylinder

AU - Duffy, B.R.

AU - Wilson, S.K.

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

KW - two-dimensional steady flow

KW - non-isothermal flow

KW - Biot number

U2 - 10.1140/epjst/e2009-00896-8

DO - 10.1140/epjst/e2009-00896-8

M3 - Article

VL - 166

SP - 147

EP - 150

JO - European Physical Journal - Special Topics

T2 - European Physical Journal - Special Topics

JF - European Physical Journal - Special Topics

SN - 1951-6355

ER -