TY - JOUR

T1 - Thermocapillary rivulets in the uniformly heated liquid film

AU - Aktershev, S. P.

AU - Alekseenko, S. V.

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

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.

KW - FALLING FILMS

KW - STABILITY

KW - WAVES

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

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

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

M3 - Article

AN - SCOPUS:85037059154

VL - 891

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012023

ER -