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 | |
| Publication status | Published - 1 May 2019 |
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Keywords
- Heated liquid film
- Numerical simulation
- Rivulet
- Thermocapillary instability
ASJC Scopus subject areas
- Mechanical Engineering
- Physics and Astronomy(all)
- Fluid Flow and Transfer Processes
Cite this
Thermocapillary instability and rivulet structure formation in uniformly heated falling liquid film. / Aktershev, S. P.; Alekseenko, S. V.
In: International Journal of Multiphase Flow, 01.05.2019, p. 115-127.Research output: Contribution to journal › Article
}
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
UR - http://www.scopus.com/inward/record.url?scp=85062643368&partnerID=8YFLogxK
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U2 - 10.1016/j.ijmultiphaseflow.2019.02.007
DO - 10.1016/j.ijmultiphaseflow.2019.02.007
M3 - Article
SP - 115
EP - 127
JO - International Journal of Multiphase Flow
JF - International Journal of Multiphase Flow
SN - 0301-9322
ER -