IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v32y2024i01ns0218348x24500075.html
   My bibliography  Save this article

Fractal Model Of Flow Current In Micro Rough Capillary Tubes

Author

Listed:
  • SHANSHAN YANG

    (Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, Hubei 443002, P. R. China†College of Science, China Three Gorges University, Yichang, Hubei 443002, P. R. China)

  • QIONG SHENG

    (Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, Hubei 443002, P. R. China†College of Science, China Three Gorges University, Yichang, Hubei 443002, P. R. China)

  • MINGCHAO LIANG

    (��School of Physics and Technology, Xinjiang University, Urumqi 830046, P. R. China)

  • MINGQING ZOU

    (�EU Institute for Clean and Renewable Energy, Huazhong of Science and Technology, University Wuhan, Wuhan 430074, P. R. China)

Abstract

Based on the fractal geometry science and the model of flow friction resistance when fluid flows through rough microcapillaries, the formula of diffusion layer thickness and the spatial charge density distribution of the pipe were derived. The relationship between the amount of space charge and the structural parameters of rough elements, relative roughness, liquid conductivity, pipeline diameter, and other physical quantities was discussed. It was found that the height of rough elements is directly proportional to the thickness of the diffusion layer, and also positively proportional to the amount of current. The predicted results of the model are in good agreement with existing models and various published experimental data, verifying the accuracy and reliability of the model.

Suggested Citation

  • Shanshan Yang & Qiong Sheng & Mingchao Liang & Mingqing Zou, 2024. "Fractal Model Of Flow Current In Micro Rough Capillary Tubes," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(01), pages 1-13.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:01:n:s0218348x24500075
    DOI: 10.1142/S0218348X24500075
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X24500075
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X24500075?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:wsi:fracta:v:32:y:2024:i:01:n:s0218348x24500075. 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: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/fractals .

    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.