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<p>The current study aims to investigate the slip flow of a Casson fluid driven by a stretching cylinder, influenced by gyrotactic microorganisms and an external magnetic field. Key effects, including Hall current, space current, Darcy–Forchheimer drag, and bio-convection, are also analyzed to understand their impact on momentum, heat, and mass transfer. The model incorporates dimensionless parameters such as curvature, chemical reaction, velocity slip, Prandtl number, Brownian motion, Eckert number, thermal radiation, thermophoresis, Schmidt number, and Peclet parameter. The classical form of Navier’s Stokes governing flow equations is transformed into an ordinary differential equation by applying suitable similarity variables. The resulting system of the equation is solved numerically with the aid of the successive over-relaxation (SOR) method. Numerical results reveal the influence of these factors on flow characteristics, temperature distribution, and microorganism concentration. The outcomes reveal that fluid velocity decreases as the normal velocity intensifies, driven by a reduction in the Hall effect parameter. Further, temperature profile is raised by the heat generation parameter, space current&#xa0;and thermophoresis processes whereas velocity profile reduces with the variation of magnetic parameter. This research contributes to advancements in magnetohydrodynamics, biotechnology, and environmental engineering.</p>

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Magnetic field impact on gyrotactic microorganisms slip flow over a stretching cylinder: insights of Hall current, and Darcy–Forchheimer dynamics

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • Faiz Muhammad,
  • Aaqib Majeed,
  • Parvez Ali,
  • Taoufik Saidani

摘要

The current study aims to investigate the slip flow of a Casson fluid driven by a stretching cylinder, influenced by gyrotactic microorganisms and an external magnetic field. Key effects, including Hall current, space current, Darcy–Forchheimer drag, and bio-convection, are also analyzed to understand their impact on momentum, heat, and mass transfer. The model incorporates dimensionless parameters such as curvature, chemical reaction, velocity slip, Prandtl number, Brownian motion, Eckert number, thermal radiation, thermophoresis, Schmidt number, and Peclet parameter. The classical form of Navier’s Stokes governing flow equations is transformed into an ordinary differential equation by applying suitable similarity variables. The resulting system of the equation is solved numerically with the aid of the successive over-relaxation (SOR) method. Numerical results reveal the influence of these factors on flow characteristics, temperature distribution, and microorganism concentration. The outcomes reveal that fluid velocity decreases as the normal velocity intensifies, driven by a reduction in the Hall effect parameter. Further, temperature profile is raised by the heat generation parameter, space current and thermophoresis processes whereas velocity profile reduces with the variation of magnetic parameter. This research contributes to advancements in magnetohydrodynamics, biotechnology, and environmental engineering.