Thermocapillary instability and rivulet structure formation in uniformly heated falling liquid film

Abstract

A system of equations is derived to describe the nonstationary three-dimensional flow of non-isothermal liquid film in the presence of thermocapillary effect in long-wave approximation. The developed model is applicable for moderate Reynolds numbers and does not imply an a priori temperature profile in the film. Based on the derived equations the stability of a uniformly heated vertically falling liquid film is considered relative to spanwise perturbations. The linear analysis of the flow stability is carried out, and the dispersion dependences are obtained. A numerical method is used to study the nonlinear development of instabilities in 2D and 3D statements. It is shown that in a 3D statement, a small transverse perturbation evolves into the time-independent rivulet structure. The influence of dimensionless criteria of the problem on characteristic time and spatial scales of instability development and parameters of rivulet structures has been revealed.

Original language	English
Pages (from-to)	115-127
Number of pages	13
Journal	International Journal of Multiphase Flow
DOIs	https://doi.org/10.1016/j.ijmultiphaseflow.2019.02.007
Publication status	Published - 1 May 2019

Keywords

Heated liquid film
Numerical simulation
Rivulet
Thermocapillary instability

ASJC Scopus subject areas

Mechanical Engineering
Physics and Astronomy(all)
Fluid Flow and Transfer Processes

Access to Document

10.1016/j.ijmultiphaseflow.2019.02.007

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title = "Thermocapillary instability and rivulet structure formation in uniformly heated falling liquid film",

abstract = "A system of equations is derived to describe the nonstationary three-dimensional flow of non-isothermal liquid film in the presence of thermocapillary effect in long-wave approximation. The developed model is applicable for moderate Reynolds numbers and does not imply an a priori temperature profile in the film. Based on the derived equations the stability of a uniformly heated vertically falling liquid film is considered relative to spanwise perturbations. The linear analysis of the flow stability is carried out, and the dispersion dependences are obtained. A numerical method is used to study the nonlinear development of instabilities in 2D and 3D statements. It is shown that in a 3D statement, a small transverse perturbation evolves into the time-independent rivulet structure. The influence of dimensionless criteria of the problem on characteristic time and spatial scales of instability development and parameters of rivulet structures has been revealed.",

keywords = "Heated liquid film, Numerical simulation, Rivulet, Thermocapillary instability",

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

year = "2019",

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doi = "10.1016/j.ijmultiphaseflow.2019.02.007",

language = "English",

pages = "115--127",

journal = "International Journal of Multiphase Flow",

issn = "0301-9322",

publisher = "Elsevier BV",

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TY - JOUR

T1 - Thermocapillary instability and rivulet structure formation in uniformly heated falling liquid film

AU - Aktershev, S. P.

AU - Alekseenko, S. V.

PY - 2019/5/1

Y1 - 2019/5/1

N2 - A system of equations is derived to describe the nonstationary three-dimensional flow of non-isothermal liquid film in the presence of thermocapillary effect in long-wave approximation. The developed model is applicable for moderate Reynolds numbers and does not imply an a priori temperature profile in the film. Based on the derived equations the stability of a uniformly heated vertically falling liquid film is considered relative to spanwise perturbations. The linear analysis of the flow stability is carried out, and the dispersion dependences are obtained. A numerical method is used to study the nonlinear development of instabilities in 2D and 3D statements. It is shown that in a 3D statement, a small transverse perturbation evolves into the time-independent rivulet structure. The influence of dimensionless criteria of the problem on characteristic time and spatial scales of instability development and parameters of rivulet structures has been revealed.

AB - A system of equations is derived to describe the nonstationary three-dimensional flow of non-isothermal liquid film in the presence of thermocapillary effect in long-wave approximation. The developed model is applicable for moderate Reynolds numbers and does not imply an a priori temperature profile in the film. Based on the derived equations the stability of a uniformly heated vertically falling liquid film is considered relative to spanwise perturbations. The linear analysis of the flow stability is carried out, and the dispersion dependences are obtained. A numerical method is used to study the nonlinear development of instabilities in 2D and 3D statements. It is shown that in a 3D statement, a small transverse perturbation evolves into the time-independent rivulet structure. The influence of dimensionless criteria of the problem on characteristic time and spatial scales of instability development and parameters of rivulet structures has been revealed.

KW - Heated liquid film

KW - Numerical simulation

KW - Rivulet

KW - Thermocapillary instability

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JO - International Journal of Multiphase Flow

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