IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v33y2025i03ns0218348x24501445.html
   My bibliography  Save this article

Mathematical Model For Nanofibers’ Diffusion In A Nanofluid And Numerical Simulation

Author

Listed:
  • XUEJUAN LI

    (School of Science, Xi’an University of Architecture and Technology, Xi’an 710055, P. R. China)

  • XINYUE YANG

    (School of Science, Xi’an University of Architecture and Technology, Xi’an 710055, P. R. China)

  • YE-CHENG LUO

    (��School of Jia Yang, Zhejiang Shuren University, Hangzhou, Zhejiang 310015, P. R. China)

  • YING WANG

    (School of Science, Xi’an University of Architecture and Technology, Xi’an 710055, P. R. China)

Abstract

The diffusion process of the nanofibers in a nanofluid displays a combination of diffusion and wave characteristics. The wave-like behavior is attributed to the large aspect ratio of the nanofiber, which can be modeled as a bead-spring chain system, exhibiting wave-like properties. In order to describe this mixed diffusion-wave phenomenon, a fractional diffusion-wave equation is proposed, wherein multiple time fractional derivatives are employed. By appropriately regulating the fractional time terms, the model can be transformed into either the traditional diffusion equation or the traditional wave equation, as required. A numerical schedule is developed through the implementation of suitable time and space discretization, and a stability analysis is conducted. The numerical results substantiate the reliability of the numerical schedule and its applicability to other fractional differential equations.

Suggested Citation

  • Xuejuan Li & Xinyue Yang & Ye-Cheng Luo & Ying Wang, 2025. "Mathematical Model For Nanofibers’ Diffusion In A Nanofluid And Numerical Simulation," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(03), pages 1-15.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:03:n:s0218348x24501445
    DOI: 10.1142/S0218348X24501445
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X24501445
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X24501445?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:33:y:2025:i:03:n:s0218348x24501445. 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.