IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2023i1p12-d1304027.html
   My bibliography  Save this article

Numerical Modeling of Water Jet Plunging in Molten Heavy Metal Pool

Author

Listed:
  • Sergey E. Yakush

    (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow 119526, Russia)

  • Nikita S. Sivakov

    (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow 119526, Russia)

  • Oleg I. Melikhov

    (National Research University “Moscow Power Engineering Institute”, Moscow 111250, Russia
    JSC “Electrogorsk Research and Development Center for NPP Safety”, Electrogorsk 142530, Russia)

  • Vladimir I. Melikhov

    (National Research University “Moscow Power Engineering Institute”, Moscow 111250, Russia
    JSC “Electrogorsk Research and Development Center for NPP Safety”, Electrogorsk 142530, Russia)

Abstract

The hydrodynamic and thermal interaction of water with the high-temperature melt of a heavy metal was studied via the Volume-of-Fluid (VOF) method formulated for three immiscible phases (liquid melt, water, and water vapor), with account for phase changes. The VOF method relies on a first-principle description of phase interactions, including drag, heat transfer, and water evaporation, in contrast to multifluid models relying on empirical correlations. The verification of the VOF model implemented in OpenFOAM software was performed by solving one- and two-dimensional reference problems. Water jet penetration into a melt pool was first calculated in two-dimensional problem formulation, and the results were compared with analytical models and empirical correlations available, with emphasis on the effects of jet velocity and diameter. Three-dimensional simulations were performed in geometry, corresponding to known experiments performed in a narrow planar vessel with a semi-circular bottom. The VOF results obtained for water jet impact on molten heavy metal (lead–bismuth eutectic alloy at the temperature 820 K) are here presented for a water temperature of 298 K, jet diameter 6 mm, and jet velocity 6.2 m/s. Development of a cavity filled with a three-phase melt–water–vapor mixture is revealed, including its propagation down to the vessel bottom, with lateral displacement of melt, and subsequent detachment from the bottom due to gravitational settling of melt. The best agreement of predicted cavity depth, velocity, and aspect ratio with experiments (within 10%) was achieved at the stage of downward cavity propagation; at the later stages, the differences increased to about 30%. Adequacy of the numerical mesh containing about 5.6 million cells was demonstrated by comparing the penetration dynamics obtained on a sequence of meshes with the cell size ranging from 180 to 350 µm.

Suggested Citation

  • Sergey E. Yakush & Nikita S. Sivakov & Oleg I. Melikhov & Vladimir I. Melikhov, 2023. "Numerical Modeling of Water Jet Plunging in Molten Heavy Metal Pool," Mathematics, MDPI, vol. 12(1), pages 1-24, December.
  • Handle: RePEc:gam:jmathe:v:12:y:2023:i:1:p:12-:d:1304027
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/1/12/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/12/1/12/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Min-Soo Kim & Kwang-Hyun Bang, 2022. "Numerical Simulation of Kelvin–Helmholtz Instability and Boundary Layer Stripping for an Interpretation of Melt Jet Breakup Mechanisms," Energies, MDPI, vol. 15(20), pages 1-15, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      Corrections

      All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:12:y:2023:i:1:p:12-:d:1304027. See general information about how to correct material in RePEc.

      If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

      If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

      For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

      Please note that corrections may take a couple of weeks to filter through the various RePEc services.

      IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.