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Dynamics of a thin film with temperature-dependent viscosity on a rotating disk
Published in
2005
Volume: 179
   
Issue: 1-2
Pages: 25 - 39
Abstract
The thermal effects on the dynamics of an axisymmetric flow of a non-volatile incompressible viscous thin liquid film on a rotating disk due to viscosity variation depending exponentially on temperature are considered. The nonlinear evolution equation is solved numerically. The numerical results reveal that heating the film from below enhances the rate of thinning. The increase in Biot number increases the film thickness, when the film is heated from below. Further, the relative amount of fluid retained on the substrate decreases as the film is heated from below. The results are reversed for the case of a film which is cooled from below. The rate of thinning of the film is more (less) for the case of temperature dependent viscosity when the film is heated (cooled) from below than for the case of constant viscosity of the fluid. © Springer-Verlag 2005.
About the journal
JournalActa Mechanica
ISSN00015970
Open AccessNo
Concepts (11)
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    FLUID DYNAMICS
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    Nonlinear equations
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    Rotating disks
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    Substrates
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    Thermal effects
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    Thickness measurement
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    Viscosity
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    AXISYMMETRIC FLOW
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    BIOT NUMBERS
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    Thin liquid films
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    Thin films