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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Ivan Pavlenko & Oleksandr Liaposhchenko & Marek Ochowiak & Radosław Olszewski & Maryna Demianenko & Oleksandr Starynskyi & Vitalii Ivanov & Vitalii Yanovych & Sylwia Włodarczak & Michał Doligalski, 2020. "Three-Dimensional Mathematical Model of the Liquid Film Downflow on a Vertical Surface," Energies, MDPI, vol. 13(8), pages 1-15, April.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:8:p:1938-:d:345708
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