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Exploration of Multiple Transfer Phenomena within Viscous Fluid Flows over a Curved Stretching Sheet in the Co-Existence of Gyrotactic Micro-Organisms and Tiny Particles

Author

Listed:
  • Pachiyappan Ragupathi

    (Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore 641020, India
    These authors contributed equally to this work and are co-first authors.)

  • N. Ameer Ahammad

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

  • Abderrahim Wakif

    (Laboratory of Mechanics, Faculty of Sciences Aïn Chock, Hassan II University of Casablanca, Casablanca 20000, Morocco)

  • Nehad Ali Shah

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

  • Yongseok Jeon

    (Interdisciplinary Major of Maritime AI Convergence, Department of Mechanical Engineering, Korea Maritime & Ocean University, Busan 49112, Korea)

Abstract

In the present study, the magnetohydrodynamics (MHD) bio-convective flow and heat transfer of nanofluid, due to the swimming of the gyrotactic micro-organisms over a curved stretched sheet, is examined. In addition, thermophoresis and Brownian motion behaviors are also investigated by assuming slip conditions at the boundary. A non-linear system of partial differential equations (PDEs) is reduced to a system of ordinary differential equations (ODEs). For convergent solutions, the obtained ODE system is solved by the use of the BVP4C routine integrated MATLAB package. In addition, the impacts of different influential parameters on motile micro-organisms, temperature, velocity, and concentration profiles are deliberated. The velocity field is observed to be reduced when the slip parameter increases. As the main results, it is demonstrated that the distribution of motile microorganisms against the curvature parameter decreases significantly. Similarly, it is found that the nanofluid parameters (i.e., Brownian motion and thermophoresis parameters) and the Peclet number reduce the motile micro-organisms’ number. On the other hand, it is evidenced that the motile micro-organisms’ distribution can be improved with an increase in bio-convective Schmidt number.

Suggested Citation

  • Pachiyappan Ragupathi & N. Ameer Ahammad & Abderrahim Wakif & Nehad Ali Shah & Yongseok Jeon, 2022. "Exploration of Multiple Transfer Phenomena within Viscous Fluid Flows over a Curved Stretching Sheet in the Co-Existence of Gyrotactic Micro-Organisms and Tiny Particles," Mathematics, MDPI, vol. 10(21), pages 1-18, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:4133-:d:964181
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    References listed on IDEAS

    as
    1. Saif Ur Rehman & Nageen Fatima & Bagh Ali & Muhammad Imran & Liaqat Ali & Nehad Ali Shah & Jae Dong Chung, 2022. "The Casson Dusty Nanofluid: Significance of Darcy–Forchheimer Law, Magnetic Field, and Non-Fourier Heat Flux Model Subject to Stretch Surface," Mathematics, MDPI, vol. 10(16), pages 1-14, August.
    2. Abdul Manan & Saif Ur Rehman & Nageen Fatima & Muhammad Imran & Bagh Ali & Nehad Ali Shah & Jae Dong Chung, 2022. "Dynamics of Eyring–Powell Nanofluids When Bioconvection and Lorentz Forces Are Significant: The Case of a Slender Elastic Sheet of Variable Thickness with Porous Medium," Mathematics, MDPI, vol. 10(17), pages 1-20, August.
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    Cited by:

    1. Zeeshan & Attaullah & N. Ameer Ahammad & Nehad Ali Shah & Jae Dong Chung, 2023. "A Numerical Framework for Entropy Generation Using Second-Order Nanofluid Thin Film Flow over an Expanding Sheet: Error Estimation and Stability Analysis," Mathematics, MDPI, vol. 11(5), pages 1-26, February.
    2. Zeeshan & N. Ameer Ahammad & Nehad Ali Shah & Jae Dong Chung, 2023. "Role of Nanofluid and Hybrid Nanofluid for Enhancing Thermal Conductivity towards Exponentially Stretching Curve with Modified Fourier Law Inspired by Melting Heat Effect," Mathematics, MDPI, vol. 11(5), pages 1-21, February.

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