IDEAS home Printed from https://ideas.repec.org/a/arp/ajoams/2022p30-33.html
   My bibliography  Save this article

Rotation Equation of a Point in Air and its Solution

Author

Listed:
  • Tian-Quan Yun

    (School of Civil Engineering and Transportation, South China University of Technology, Wu Shan Lu 381, Tian He Qu, Guangzhou, 510641, P.R. China)

Abstract

Operator ? inner products on both sides of Combination of Boyles’ law and Chares law (“B-C law†in short), we got the “Wind Speed Equation of a Point in Air†(“Wind Speed Equation†in short). It suits for describing straight-line motion, and It states that mu ? is in proportion to ?•T. Operator ? outer products on both sides of “Wind Speed Equation†(where T is replaced by T), we get the “Rotation Equation of a Point in Air†(“Rotation Equation†in short). It is a vector partial differential equation (PDE), suits for describing circular motion. It states that (mu ? ) is in proportion to T. Its solution is found by the method of separating variables. The existence of vector T is proved by the existence of rotation in the atmosphere and the solution of the “Rotation Equation†. It reveals that the vector form of B-C law holds in rotating air. Examples of up-side-down vertical rotation and horizontal rotation are given.

Suggested Citation

  • Tian-Quan Yun, 2022. "Rotation Equation of a Point in Air and its Solution," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 8(2), pages 30-33, 04-2022.
    • Handle: RePEc:arp:ajoams:2022:p:30-33
    DOI: 10.32861/ajams.82.30.33
    as

    Download full text from publisher

    File URL: https://www.arpgweb.com/pdf-files/ajams8(2)30-33.pdf
    Download Restriction: no
    File URL: https://www.arpgweb.com/journal/17/archive/04-2022/2/8
    Download Restriction: no
    File URL: https://libkey.io/10.32861/ajams.82.30.33?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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:arp:ajoams:2022:p:30-33. 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: Managing Editor (email available below). General contact details of provider: http://arpgweb.com/index.php?ic=journal&journal=17&info=aims .

    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.