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Significance of the Coriolis Force on the Dynamics of Carreau–Yasuda Rotating Nanofluid Subject to Darcy–Forchheimer and Gyrotactic Microorganisms

Author

Listed:
  • Bilal Ahmad

    (Department of Mathematics and Statistics, The University of Lahore, Lahore 54590, Pakistan
    Bilal Ahmad and Nehad Ali Shah contributed equally to this work and are co-first authors.)

  • Muhammad Ozair Ahmad

    (Department of Mathematics and Statistics, The University of Lahore, Lahore 54590, Pakistan)

  • Liaqat Ali

    (School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, China)

  • Bagh Ali

    (School of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an 710072, China
    Faculty of Computer Science and Information Technology, Superior University, Lahore 54000, Pakistan)

  • Ahmed Kadhim Hussein

    (Mechanical Engineering Department, College of Engineering, University of Babylon, Hilla 00964, Iraq
    College of Engineering, University of Warith Al-Anbiyaa, Karbala 56001, Iraq)

  • Nehad Ali Shah

    (Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea
    Bilal Ahmad and Nehad Ali Shah contributed equally to this work and are co-first authors.)

  • Jae Dong Chung

    (Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea)

Abstract

In this study, the significance of the Coriolis force on the dynamics of Carreau—Yasuda flow toward a continuously stretched surface subject to the Darcy–Forchheimer law is investigated. The nanoparticles are incorporated due to their unusual characteristics (e.g., extraordinary thermal conductivity), which are significant in heat exchangers and advanced nanotechnology. To avoid possible sedimentation of tiny particles, the gyrotactic microorganisms must be incorporated. The goal of this research was to find out the dynamics of three-dimensional rotational flow for nanofluids under the influence of Darcy–Forchheimer with the thermophoresis effect and motile microorganisms. The equations governing mass, momentum, and energy equations are formalized using partial derivatives, which may subsequently be transformed into dimensionless differential shapes using the personifications of apposite similarity transformations. The MATLAB application bvp4c was used in conjunction with a shooting technique to solve a nonlinear mathematical model based on ordinary differential equations. It was observed that the base fluid velocities decreased against higher input of rotation and porosity parameters; moreover, the Brownian motion and thermophoresis increased the temperature profile.

Suggested Citation

  • Bilal Ahmad & Muhammad Ozair Ahmad & Liaqat Ali & Bagh Ali & Ahmed Kadhim Hussein & Nehad Ali Shah & Jae Dong Chung, 2022. "Significance of the Coriolis Force on the Dynamics of Carreau–Yasuda Rotating Nanofluid Subject to Darcy–Forchheimer and Gyrotactic Microorganisms," Mathematics, MDPI, vol. 10(16), pages 1-15, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:16:p:2855-:d:885025
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    References listed on IDEAS

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    1. Hossam A. Nabwey & Sumayyah I. Alshber & Ahmed M. Rashad & Abd El Nasser Mahdy, 2022. "Influence of Bioconvection and Chemical Reaction on Magneto—Carreau Nanofluid Flow through an Inclined Cylinder," Mathematics, MDPI, vol. 10(3), pages 1-14, February.
    2. Ali, Bagh & Shafiq, Anum & Manan, Abdul & Wakif, Abderrahim & Hussain, Sajjad, 2022. "Bioconvection: Significance of mixed convection and mhd on dynamics of Casson nanofluid in the stagnation point of rotating sphere via finite element simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 254-268.
    3. Muhammad Zeeshan Ashraf & Saif Ur Rehman & Saadia Farid & Ahmed Kadhim Hussein & Bagh Ali & Nehad Ali Shah & Wajaree Weera, 2022. "Insight into Significance of Bioconvection on MHD Tangent Hyperbolic Nanofluid Flow of Irregular Thickness across a Slender Elastic Surface," Mathematics, MDPI, vol. 10(15), pages 1-17, July.
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    Cited by:

    1. Syed Muhammad Ali Haider & Bagh Ali & Qiuwang Wang & Cunlu Zhao, 2022. "Rotating Flow and Heat Transfer of Single-Wall Carbon Nanotube and Multi-Wall Carbon Nanotube Hybrid Nanofluid with Base Fluid Water over a Stretching Sheet," Energies, MDPI, vol. 15(16), pages 1-13, August.

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