Three-Dimensional Mathematical Model of the Liquid Film Downflow on a Vertical Surface

Ivan Pavlenko, Oleksandr Liaposhchenko, Marek Ochowiak, Radosław Olszewski, Maryna Demianenko, Oleksandr Starynskyi, Vitalii Ivanov, Vitalii Yanovych, Sylwia Włodarczak and Michał Doligalski
Additional contact information
Ivan Pavlenko: Faculty of Technical Systems and Energy Efficient Technologies, Sumy State University, 2 Rymskogo-Korsakova St., 40007 Sumy, Ukraine
Oleksandr Liaposhchenko: Faculty of Technical Systems and Energy Efficient Technologies, Sumy State University, 2 Rymskogo-Korsakova St., 40007 Sumy, Ukraine
Marek Ochowiak: Department of Chemical Engineering and Equipment, Poznan University of Technology, 60-965 Poznan, Poland
Radosław Olszewski: Faculty of Chemistry, Adam Mickiewicz University, 61-614 Poznan, Poland
Maryna Demianenko: Faculty of Technical Systems and Energy Efficient Technologies, Sumy State University, 2 Rymskogo-Korsakova St., 40007 Sumy, Ukraine
Oleksandr Starynskyi: Faculty of Technical Systems and Energy Efficient Technologies, Sumy State University, 2 Rymskogo-Korsakova St., 40007 Sumy, Ukraine
Vitalii Ivanov: Faculty of Technical Systems and Energy Efficient Technologies, Sumy State University, 2 Rymskogo-Korsakova St., 40007 Sumy, Ukraine
Vitalii Yanovych: Faculty of Mechanical Engineering, University of West Bohemia, 22 Univerzitni St., 301 00 Pilsen, Czech Republic
Sylwia Włodarczak: Department of Chemical Engineering and Equipment, Poznan University of Technology, 60-965 Poznan, Poland
Michał Doligalski: Faculty of Computer, Electrical and Control Engineering, University of Zielona Góra, 65-516 Zielona Góra, Poland

Energies, 2020, vol. 13, issue 8, 1-15

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.

Keywords: separation layer; gas–liquid; interfacial surface; velocity field; dimensionless parameters (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/1996-1073/13/8/1938/pdf (application/pdf)
https://www.mdpi.com/1996-1073/13/8/1938/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jeners:v:13:y:2020:i:8:p:1938-:d:345708

Access Statistics for this article

Energies is currently edited by Ms. Agatha Cao

More articles in Energies from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().