Thermocapillary rivulets in the uniformly heated liquid film

S. P. Aktershev, S. V. Alekseenko

Research output: Contribution to journalConference article

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 languageEnglish
Article number012023
JournalJournal of Physics: Conference Series
Volume891
Issue number1
DOIs
Publication statusPublished - 10 Nov 2017
EventInternational Conference on Problems of Thermal Physics and Power Engineering 2017, PTPPE 2017 - Moscow, Russian Federation
Duration: 9 Oct 201711 Oct 2017

Fingerprint

liquids
planetary waves
Reynolds number
perturbation
profiles
temperature

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Thermocapillary rivulets in the uniformly heated liquid film. / Aktershev, S. P.; Alekseenko, S. V.

In: Journal of Physics: Conference Series, Vol. 891, No. 1, 012023, 10.11.2017.

Research output: Contribution to journalConference article

@article{f7a13d26348649399cab91459562fa1e,
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",
month = "11",
day = "10",
doi = "10.1088/1742-6596/891/1/012023",
language = "English",
volume = "891",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "1",

}

TY - JOUR

T1 - Thermocapillary rivulets in the uniformly heated liquid film

AU - Aktershev, S. P.

AU - Alekseenko, S. V.

PY - 2017/11/10

Y1 - 2017/11/10

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.

UR - http://www.scopus.com/inward/record.url?scp=85037059154&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85037059154&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/891/1/012023

DO - 10.1088/1742-6596/891/1/012023

M3 - Conference article

VL - 891

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012023

ER -