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MHD gyrotactic microorganisms upper convected Maxwell fluid flow in the presence of nonlinear thermal radiation: numerical approach Lobatto IIIA technique

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Abstract

Bioconvection research is essential due to its widespread use in the domains of biofuels and bioengineering. This study investigates the numerical behavior of megnetohydrodynamic bioconvection boundary layer flow of motile microorganisms in upper convected Maxwell fluid via a renewed bvp4c-based Lobatto IIIA solver. To stabilize the nanoparticles in suspension, microorganisms are used that cause bioconvection. The flow past stretchable sheets is under the influence of heat and mass transfer, nonlinear thermal radiation, and viscous dissipation. Suitable similarity transformations are adopted to amend PDEs’ system of governing equations into ODEs’ system. Visualize graphical and numerical presentations that show the influence of physical parameters, such as flow rate, temperature gradient, nanofluid concentration, and gyrotactic motile microorganism concentration. Physical quantities such as skin friction, Nusselt number, Sherwood number, and local density of microorganisms are also taken into consideration.

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Acknowledgements

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University, Abha, Saudi Arabia, for funding this work through the Research Group Project under Grant Number (RGP.2/300/44).

Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Tabuk, P.O.Box 741, Tabuk, 71491, Saudi Arabia

    Ebrahem A. Algehyne

  2. Nanotechnology Research Unit (NRU), University of Tabuk, Tabuk, 71491, Saudi Arabia

    Ebrahem A. Algehyne

  3. Department of Computing and Technology, Abasyn University, Peshawar, 25000, Khyber Pakhtunkhwa, Pakistan

    Samina Zuhra

  4. Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia

    Zehba Raizah

  5. Department of Mathematics, Abdul Wali Khan University, Mardan, 23200, Khyber Pakhtunkhwa, Pakistan

    Zeeshan

  6. Science Laboratory Building, Faculty of Science, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok, 10140, Thailand

    Anwar Saeed

  7. Department of Mechanical Engineering, College of Engineering in Wadi Alddawasir, Prince Sattam Bin Abdulaziz University, Wadi Alddawasir, Saudi Arabia

    Ahmed M. Galal

  8. Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, P.O 35516, Mansoura, Egypt

    Ahmed M. Galal

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  1. Ebrahem A. Algehyne
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Correspondence to Anwar Saeed.

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Algehyne, E.A., Zuhra, S., Raizah, Z. et al. MHD gyrotactic microorganisms upper convected Maxwell fluid flow in the presence of nonlinear thermal radiation: numerical approach Lobatto IIIA technique. J Therm Anal Calorim 148, 6791–6805 (2023). https://doi.org/10.1007/s10973-023-12204-2

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