Thermocapillary rivulets in the uniformly heated liquid film

Abstract

The set of equations which describes a non-steady 3D flow of non-isothermal liquid film in the presence of thermocapillary effect is deduced in the long-wave approach. The used model is applicable for moderate Reynolds's numbers Re∼10 and does not imply in advance set the profile of temperature in a film. The linear analysis of a stability of a film in relation to perturbations in spanwise direction is carried out and dispersion relations are gained. Nonlinear development of instability is investigated numerically in cases of 2D and 3D flow and appearance of quasistationary rivulet structure. Influence of dimensionless parameteres on characteristic scales of rivulet structures is revealed.

Original language	English
Article number	012023
Journal	Journal of Physics: Conference Series
Volume	891
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/891/1/012023
Publication status	Published - 10 Nov 2017
Event	International Conference on Problems of Thermal Physics and Power Engineering 2017, PTPPE 2017 - Moscow, Russian Federation Duration: 9 Oct 2017 → 11 Oct 2017

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1088/1742-6596/891/1/012023

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title = "Thermocapillary rivulets in the uniformly heated liquid film",

abstract = "The set of equations which describes a non-steady 3D flow of non-isothermal liquid film in the presence of thermocapillary effect is deduced in the long-wave approach. The used model is applicable for moderate Reynolds's numbers Re∼10 and does not imply in advance set the profile of temperature in a film. The linear analysis of a stability of a film in relation to perturbations in spanwise direction is carried out and dispersion relations are gained. Nonlinear development of instability is investigated numerically in cases of 2D and 3D flow and appearance of quasistationary rivulet structure. Influence of dimensionless parameteres on characteristic scales of rivulet structures is revealed.",

author = "Aktershev, {S. P.} and Alekseenko, {S. V.}",

year = "2017",

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doi = "10.1088/1742-6596/891/1/012023",

language = "English",

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journal = "Journal of Physics: Conference Series",

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note = "International Conference on Problems of Thermal Physics and Power Engineering 2017, PTPPE 2017 ; Conference date: 09-10-2017 Through 11-10-2017",

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TY - JOUR

T1 - Thermocapillary rivulets in the uniformly heated liquid film

AU - Aktershev, S. P.

AU - Alekseenko, S. V.

PY - 2017/11/10

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N2 - The set of equations which describes a non-steady 3D flow of non-isothermal liquid film in the presence of thermocapillary effect is deduced in the long-wave approach. The used model is applicable for moderate Reynolds's numbers Re∼10 and does not imply in advance set the profile of temperature in a film. The linear analysis of a stability of a film in relation to perturbations in spanwise direction is carried out and dispersion relations are gained. Nonlinear development of instability is investigated numerically in cases of 2D and 3D flow and appearance of quasistationary rivulet structure. Influence of dimensionless parameteres on characteristic scales of rivulet structures is revealed.

AB - The set of equations which describes a non-steady 3D flow of non-isothermal liquid film in the presence of thermocapillary effect is deduced in the long-wave approach. The used model is applicable for moderate Reynolds's numbers Re∼10 and does not imply in advance set the profile of temperature in a film. The linear analysis of a stability of a film in relation to perturbations in spanwise direction is carried out and dispersion relations are gained. Nonlinear development of instability is investigated numerically in cases of 2D and 3D flow and appearance of quasistationary rivulet structure. Influence of dimensionless parameteres on characteristic scales of rivulet structures is revealed.

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