IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i3p380-d330195.html
   My bibliography  Save this article

Numerical Investigation on the Swimming of Gyrotactic Microorganisms in Nanofluids through Porous Medium over a Stretched Surface

Author

Listed:
  • Anwar Shahid

    (College of Astronautics, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China)

  • Hulin Huang

    (College of Astronautics, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China)

  • Muhammad Mubashir Bhatti

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

  • Lijun Zhang

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

  • Rahmat Ellahi

    (Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
    Fulbright Fellow Department of Mechanical Engineering University of California Riverside, Riverside, CA 92521, USA
    Center for Modeling & Computer Simulation, Research Institute, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia)

Abstract

In this article, the effects of swimming gyrotactic microorganisms for magnetohydrodynamics nanofluid using Darcy law are investigated. The numerical results of nonlinear coupled mathematical model are obtained by means of Successive Local Linearization Method. This technique is based on a simple notion of the decoupling systems of equations utilizing the linearization of the unknown functions sequentially according to the order of classifying the system of governing equations. The linearized equations, that developed a sequence of linear differential equations along with variable coefficients, were solved by employing the Chebyshev spectral collocation method. The convergence speed of the SLLM technique can be willingly upgraded by successive applying over relaxation method. The comparison of current study with available published literature has been made for the validation of obtained results. It is found that the reported numerical method is in perfect accord with the said similar methods. The results are displayed through tables and graphs.

Suggested Citation

  • Anwar Shahid & Hulin Huang & Muhammad Mubashir Bhatti & Lijun Zhang & Rahmat Ellahi, 2020. "Numerical Investigation on the Swimming of Gyrotactic Microorganisms in Nanofluids through Porous Medium over a Stretched Surface," Mathematics, MDPI, vol. 8(3), pages 1-18, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:380-:d:330195
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/3/380/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/3/380/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. M. Ferdows & Md. Shakhaoath Khan & Md. Mahmud Alam & Shuyu Sun, 2012. "MHD Mixed Convective Boundary Layer Flow of a Nanofluid through a Porous Medium due to an Exponentially Stretching Sheet," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-21, October.
    2. S. Shateyi & O. D. Makinde, 2013. "Hydromagnetic Stagnation-Point Flow towards a Radially Stretching Convectively Heated Disk," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-8, June.
    3. Muhammad Awais & Tasawar Hayat & Sania Irum & Ahmed Alsaedi, 2015. "Heat Generation/Absorption Effects in a Boundary Layer Stretched Flow of Maxwell Nanofluid: Analytic and Numeric Solutions," PLOS ONE, Public Library of Science, vol. 10(6), pages 1-18, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. José Luis Díaz Palencia & Julián Roa González & Saeed Ur Rahman & Antonio Naranjo Redondo, 2022. "Regularity, Asymptotic Solutions and Travelling Waves Analysis in a Porous Medium System to Model the Interaction between Invasive and Invaded Species," Mathematics, MDPI, vol. 10(7), pages 1-19, April.
    2. Noor Farizza Haniem Mohd Sohut & Siti Khuzaimah Soid & Sakhinah Abu Bakar & Anuar Ishak, 2022. "Unsteady Three-Dimensional Flow in a Rotating Hybrid Nanofluid over a Stretching Sheet," Mathematics, MDPI, vol. 10(3), pages 1-14, January.

    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. Haifaa Alrihieli & Mohammed Alrehili & Ahmed M. Megahed, 2022. "Radiative MHD Nanofluid Flow Due to a Linearly Stretching Sheet with Convective Heating and Viscous Dissipation," Mathematics, MDPI, vol. 10(24), pages 1-13, December.
    2. Hazarika, Silpi & Ahmed, Sahin & Chamkha, Ali J., 2021. "Investigation of nanoparticles Cu, Ag and Fe3O4 on thermophoresis and viscous dissipation of MHD nanofluid over a stretching sheet in a porous regime: A numerical modeling," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 819-837.

    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:8:y:2020:i:3:p:380-:d:330195. 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.