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Title Three-Dimensional Mathematical Model of the Liquid Film Downflow on a Vertical Surface
Authors Pavlenko, Ivan Volodymyrovych  
Liaposhchenko, Oleksandr Oleksandrovych  
Ochowiak, M.
Olszewski, R.
Demianenko, Maryna Mykolaivna
Starynskyi, Oleksandr Yevhenovych  
Ivanov, Vitalii Oleksandrovych  
Yanovych, V.
Włodarczak, S.
Doligalski, M.
ORCID http://orcid.org/0000-0002-6136-1040
http://orcid.org/0000-0002-6657-7051
http://orcid.org/0000-0002-8437-2578
http://orcid.org/0000-0003-0595-2660
Keywords separation layer
gas-liquid
interfacial surface
velocity field
dimensionless parameters
Type Article
Date of Issue 2020
URI https://essuir.sumdu.edu.ua/handle/123456789/82215
Publisher MDPI
License Creative Commons Attribution 4.0 International License
Citation Pavlenko, I.; Liaposhchenko, O.; Ochowiak, M.; Olszewski, R.; Demianenko, M.; Starynskyi, O.; Ivanov, V.; Yanovych, V.; Włodarczak, S.; Doligalski, M. Three-Dimensional Mathematical Model of the Liquid Film Downflow on a Vertical Surface. Energies 2020, 13, 1938. https://doi.org/10.3390/en13081938
Abstract Film downflow from captured liquid without wave formation and its destruction is one of the most important aspects in the development of separation equipment. Consequently, it is necessary to create well-organized liquid draining in areas of captured liquid. Thus, the proposed 3D mathematical model of film downflow allows for the determination of the hydrodynamic parameters of the liquid film flow and the interfacial surface. As a result, it was discovered that the interfacial surface depends on the proposed dimensionless criterion, which includes internal friction stress, channel length, and fluid density. Additionally, equations for determining the averaged film thickness, the averaged velocity vectors over the film thickness, the longitudinal and vertical velocity components, and the initial angle of streamline deviation from the vertical axis were analytically obtained.
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