IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i19p2507-d650954.html
   My bibliography  Save this article

Energy Based Calculation of the Second-Order Levitation in Magnetic Fluid

Author

Listed:
  • Mislav Trbušić

    (Faculty of Electrical Engineering and Computer Science, University of Maribor, Koroska cesta 46, 2000 Maribor, Slovenia)

  • Marko Jesenik

    (Faculty of Electrical Engineering and Computer Science, University of Maribor, Koroska cesta 46, 2000 Maribor, Slovenia)

  • Mladen Trlep

    (Faculty of Electrical Engineering and Computer Science, University of Maribor, Koroska cesta 46, 2000 Maribor, Slovenia)

  • Anton Hamler

    (Faculty of Electrical Engineering and Computer Science, University of Maribor, Koroska cesta 46, 2000 Maribor, Slovenia)

Abstract

A permanent magnet immersed in magnetic fluid experiences magnetic levitation force which is of the buoyant type. This phenomenon commonly refers to self-levitation or second-order buoyancy. The stable levitation height of the permanent magnet can be attained by numerical evaluation of the force. Various authors have proposed different computational methods, but all of them rely on force formulation. This paper presents an alternative energy approach in the equilibrium height calculation, which was settled on the minimum energy principle. The problem, involving a cylindrical magnet suspended in a closed cylindrical container full of magnetic fluid, was considered in the study. The results accomplished by the proposed method were compared with those of the well-established surface integral method already verified by experiments. The difference in the results gained by both methods appears to be under 2.5%.

Suggested Citation

  • Mislav Trbušić & Marko Jesenik & Mladen Trlep & Anton Hamler, 2021. "Energy Based Calculation of the Second-Order Levitation in Magnetic Fluid," Mathematics, MDPI, vol. 9(19), pages 1-25, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:19:p:2507-:d:650954
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/19/2507/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/19/2507/
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mislav Trbušić & Anton Hamler & Viktor Goričan & Marko Jesenik, 2022. "Contactless Determination of a Permanent Magnet’s Stable Position within Ferrofluid," Mathematics, MDPI, vol. 10(14), pages 1-12, July.

    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:9:y:2021:i:19:p:2507-:d:650954. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.