IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/2458253.html
   My bibliography  Save this article

Study of Third-Grade Fluid under the Fuzzy Environment with Couette and Poiseuille Flows

Author

Listed:
  • Muhammad Nadeem
  • Imran Siddique
  • Rifaqat Ali
  • Nawa Alshammari
  • Raja Noshad Jamil
  • Nawaf Hamadneh
  • Ilyas Khan
  • Mulugeta Andualem
  • Arunava Majumder

Abstract

In this work, fundamental flow problems, namely, Couette flow, fully developed plane Poiseuille flow, and plane Couette–Poiseuille flow of a third-grade non-Newtonian fluid between two horizontal parallel plates separated by a finite distance in a fuzzy environment are considered. The governing nonlinear differential equations (DEs) are converted into fuzzy differential equations (FDEs) and explain our approach with the help of the membership function (MF) of triangular fuzzy numbers (TFNs). Adomian decomposition method (ADM) is used to solve fundamental flow problems based on FDEs. In a crisp environment, the current findings are in good accord with their previous numerical and analytical results. Finally, the effect of the α-cut α∈0,1 and other engineering constants on fuzzy velocity proï¬ le are invested in graphically and tabular forms. Also, the variability of the uncertainty is studied through the triangular MF.

Suggested Citation

  • Muhammad Nadeem & Imran Siddique & Rifaqat Ali & Nawa Alshammari & Raja Noshad Jamil & Nawaf Hamadneh & Ilyas Khan & Mulugeta Andualem & Arunava Majumder, 2022. "Study of Third-Grade Fluid under the Fuzzy Environment with Couette and Poiseuille Flows," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-19, January.
    • Handle: RePEc:hin:jnlmpe:2458253
    DOI: 10.1155/2022/2458253
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/mpe/2022/2458253.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/mpe/2022/2458253.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/2458253?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
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:hin:jnlmpe:2458253. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.