IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v33y2022i01ns0129183122500139.html
   My bibliography  Save this article

New modeling and analytical solution of fourth grade (non-Newtonian) fluid by a stretchable magnetized Riga device

Author

Listed:
  • Yun-Jie Xu

    (School of Engineering, Huzhou University, Huzhou 313000, P. R. China)

  • Faisal Shah

    (Department of Mathematics, Quaid-I-Azam University, 45320 Islamabad 44000, Pakistan)

  • M. Ijaz Khan

    (Department of Mathematics and Statistics, Riphah International University, I-14, Islamabad 44000, Pakistan4Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

  • R. Naveen Kumar

    (Department of Mathematics, Davangere University, Davangere, Karnataka, India)

  • R. J. Punith Gowda

    (Department of Mathematics, Davangere University, Davangere, Karnataka, India)

  • B. C. Prasannakumara

    (Department of Mathematics, Davangere University, Davangere, Karnataka, India)

  • M. Y. Malik

    (Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Kingdom of Saudi Arabia)

  • Sami Ullah Khan

    (Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan)

Abstract

The aim of this paper is to examine the influence of heat source/sink on boundary layer flow of a fourth-grade liquid over a stretchable Riga plate on taking account of induced magnetic field and mixed convection. Analysis of mass and heat transport is studied through modified Fourier heat flux model. The governing flow issue is demonstrated with the help of momentum, energy, temperature and concentration equation. The modeled equations are reduced into nondimensional ODEs by opting suitable similarity transformations. The analytic solutions are discussed by means of the optimal technique of homotopy analysis. The influence of several nondimensional parameters on velocity, thermal and concentration gradients are deliberated by using suitable graphs. Also, the skin friction is discussed with the help of graphs. The result outcomes reveal that, velocity of fluid diminishes for advanced values of viscoelastic parameter and fourth-grade liquid parameter but contrary movement is seen for third grade fluid parameters. Fluid temperature boosts up for thermal relaxation parameter and concentration is abridged for rising values of solutal concentration parameter and Schmidt number.

Suggested Citation

  • Yun-Jie Xu & Faisal Shah & M. Ijaz Khan & R. Naveen Kumar & R. J. Punith Gowda & B. C. Prasannakumara & M. Y. Malik & Sami Ullah Khan, 2022. "New modeling and analytical solution of fourth grade (non-Newtonian) fluid by a stretchable magnetized Riga device," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 33(01), pages 1-18, January.
    • Handle: RePEc:wsi:ijmpcx:v:33:y:2022:i:01:n:s0129183122500139
    DOI: 10.1142/S0129183122500139
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183122500139
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183122500139?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:ijmpcx:v:33:y:2022:i:01:n:s0129183122500139. 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: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    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.