IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i10p2284-d1146747.html
   My bibliography  Save this article

Novel Aspects of Cilia-Driven Flow of Viscoelastic Fluid through a Non-Darcy Medium under the Influence of an Induced Magnetic Field and Heat Transfer

Author

Listed:
  • Muhammad Mubashir Bhatti

    (College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China)

  • Fehid Ishtiaq

    (Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan)

  • Rahmat Ellahi

    (Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
    Center for Modeling & Computer Simulation, Research Institute, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia)

  • Sadiq M. Sait

    (Department of Computer Engineering, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia
    Interdisciplinary Research Center for Smart Mobility and Logistics, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia)

Abstract

The spontaneous movement of natural motile cilia in the form of metachronal waves is responsible for fluid transport. These cilia, in particular, play important roles in locomotion, feeding, liquid pumping, and cell delivery. On the other hand, artificial cilia can be useful in lab-on-a-chip devices for manipulation processes. In this study, a novel model for the ciliated tapered channel in Sutterby fluid flow under the impact of an induced magnetic field and heat transport is proposed. The Darcy–Brinkman–Forchheimer law for porous media with a viscous dissipation function is considered. With the help of lubrication theory, the simplified non-linear form of the leading equation with cilia-oriented boundary conditions is achieved. The analytical results of differential equations are based on the topological perturbation approach. The numerical simulation is performed to elaborate on the physical interpretations of emerging parameters through computer software.

Suggested Citation

  • Muhammad Mubashir Bhatti & Fehid Ishtiaq & Rahmat Ellahi & Sadiq M. Sait, 2023. "Novel Aspects of Cilia-Driven Flow of Viscoelastic Fluid through a Non-Darcy Medium under the Influence of an Induced Magnetic Field and Heat Transfer," Mathematics, MDPI, vol. 11(10), pages 1-27, May.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:10:p:2284-:d:1146747
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/10/2284/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/11/10/2284/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Fehid Ishtiaq & Rahmat Ellahi & Muhammad Mubashir Bhatti & Sultan Z. Alamri, 2022. "Insight in Thermally Radiative Cilia-Driven Flow of Electrically Conducting Non-Newtonian Jeffrey Fluid under the Influence of Induced Magnetic Field," Mathematics, MDPI, vol. 10(12), pages 1-21, June.
    2. Siddiqui, A.M. & Sohail, Ayesha & Maqbool, Khadija, 2017. "Analysis of a channel and tube flow induced by cilia," Applied Mathematics and Computation, Elsevier, vol. 309(C), pages 133-141.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Farooq, A.A. & Tripathi, D. & Elnaqeeb, Thanaa, 2019. "On the propulsion of micropolar fluid inside a channel due to ciliary induced metachronal wave," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 225-235.
    2. Ponalagusamy, R., 2018. "Mathematical analysis of flow of non-Newtonian fluid due to metachronal beating of cilia in a tube and its physiological applications," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 545-561.

    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:gam:jmathe:v:11:y:2023:i:10:p:2284-:d:1146747. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.