Nonlinear Sideband Thermocapillary Instability of a Thin Film Coating the Inside of a Thick Walled Cylinder with Finite Thermal Conductivity in the Absence of Gravity

The nonlinear sideband thermocapillary instability of a thin liquid film coating the inside of a heated cylinder in the absence of gravity is investigated. It is shown that for a newtonian fluid and under the approximation of small wavenumber and large radius of the cylinder, the axial and all azimu...

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Bibliographic Details
Published in:Microgravity science and technology 2020-04, Vol.32 (2), p.105-117
Main Author: Dávalos-Orozco, L. A.
Format: Article
Language:English
Subjects:
Aerospace Technology and Astronautics
Classical and Continuum Physics
Cylinders
Engineering
Gravitation
Instability
Newtonian fluids
Original Article
Space Exploration and Astronautics
Space Sciences (including Extraterrestrial Physics
Stability
Thermal conductivity
Thermal energy
Thin film coatings
Thin films
Wavelengths
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Summary:The nonlinear sideband thermocapillary instability of a thin liquid film coating the inside of a heated cylinder in the absence of gravity is investigated. It is shown that for a newtonian fluid and under the approximation of small wavenumber and large radius of the cylinder, the axial and all azimuthal modes with wavenumber k m a x > 0 have the same linear maximum growth rate, in the same way as in a previous papers for flow outside the cylinder. Here, this indeterminacy of the linear problem is resolved nonlinearly looking for the parameters’ range where the axial mode prevails and where it is unstable against the first azimuthal mode of thermocapillary instability.
ISSN:0938-0108
1875-0494
DOI:10.1007/s12217-019-09751-5