Thermocapillary convection in a free liquid layer in the presence of an adjacent gas flow

Abstract

The nonstationary motions of a free heat-conducting liquid layer under conditions of weightlessness are investigated analytically and numerically. To describe the dynamics of a layer with free boundaries subjected to nonhomogeneous heating and to the action of an external gas phase, a special class of the solutions of the Navier-Stokes equations is used. The 2D solutions are characterized by a linear dependence of the longitudinal component of velocity on the longitudinal coordinate. The results allow demonstrating a behavior of free liquid films and to control the mechanisms of the layer deformations at the normal and anomalous thermocapillary effects.

Original language	English
Pages (from-to)	389-396
Number of pages	8
Journal	Computational Thermal Sciences
Volume	3
Issue number	5
DOIs	https://doi.org/10.1615/ComputThermalScien.2011003644
Publication status	Published - 2011

Keywords

Cocurrent gas flow
Convection
Exact solutions
Free boundary

ASJC Scopus subject areas

Energy Engineering and Power Technology
Computational Mathematics
Fluid Flow and Transfer Processes
Surfaces and Interfaces

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10.1615/ComputThermalScien.2011003644

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title = "Thermocapillary convection in a free liquid layer in the presence of an adjacent gas flow",

abstract = "The nonstationary motions of a free heat-conducting liquid layer under conditions of weightlessness are investigated analytically and numerically. To describe the dynamics of a layer with free boundaries subjected to nonhomogeneous heating and to the action of an external gas phase, a special class of the solutions of the Navier-Stokes equations is used. The 2D solutions are characterized by a linear dependence of the longitudinal component of velocity on the longitudinal coordinate. The results allow demonstrating a behavior of free liquid films and to control the mechanisms of the layer deformations at the normal and anomalous thermocapillary effects.",

keywords = "Cocurrent gas flow, Convection, Exact solutions, Free boundary",

author = "Goncharova, {Olga N.} and Kabova, {Yulia O.} and Kabov, {Oleg A.}",

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language = "English",

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pages = "389--396",

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T1 - Thermocapillary convection in a free liquid layer in the presence of an adjacent gas flow

AU - Goncharova, Olga N.

AU - Kabova, Yulia O.

AU - Kabov, Oleg A.

PY - 2011

Y1 - 2011

N2 - The nonstationary motions of a free heat-conducting liquid layer under conditions of weightlessness are investigated analytically and numerically. To describe the dynamics of a layer with free boundaries subjected to nonhomogeneous heating and to the action of an external gas phase, a special class of the solutions of the Navier-Stokes equations is used. The 2D solutions are characterized by a linear dependence of the longitudinal component of velocity on the longitudinal coordinate. The results allow demonstrating a behavior of free liquid films and to control the mechanisms of the layer deformations at the normal and anomalous thermocapillary effects.

AB - The nonstationary motions of a free heat-conducting liquid layer under conditions of weightlessness are investigated analytically and numerically. To describe the dynamics of a layer with free boundaries subjected to nonhomogeneous heating and to the action of an external gas phase, a special class of the solutions of the Navier-Stokes equations is used. The 2D solutions are characterized by a linear dependence of the longitudinal component of velocity on the longitudinal coordinate. The results allow demonstrating a behavior of free liquid films and to control the mechanisms of the layer deformations at the normal and anomalous thermocapillary effects.

KW - Cocurrent gas flow

KW - Convection

KW - Exact solutions

KW - Free boundary

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