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<p>In this paper, we investigate the effects of Hall current, radiation absorption, and diffusion thermo on the unsteady magnetohydrodynamic (MHD) free convective rotating flow over an isothermal plate embedded in a saturated porous medium. The analysis considers the influence of viscous dissipation, Joule heating, a heat source/sink, and a destructive chemical reaction. The governing equations are solved using the perturbation technique, and the impact of key non-dimensional parameters on velocity, temperature, and concentration profiles is examined through graphical representations. Furthermore, for engineering applications, the shear stress, Nusselt number, and Sherwood number are derived analytically and analyzed computationally concerning the primary flow parameters. The findings reveal that an increase in the Hall current parameter enhances the primary velocity while reducing the secondary velocity due to altered momentum distribution. The rotation parameter suppresses both velocity components due to Coriolis forces. The Diffusion thermo parameter increases velocity and temperature, whereas the Schmidt number reduces it due to lower mass diffusivity. For engineering applications, the shear stress, Nusselt number, and Sherwood number are derived analytically and analyzed computationally concerning key flow parameters. These insights have practical applications in MHD-based industrial cooling, rotating machinery, and geophysical fluid dynamics.</p>

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Effects of hall current, radiation absorption and diffusion thermo on an unsteady MHD flow of second grade fluid through porous media in the presence of joule heating and viscous dissipation

  • 期刊论文

  • 发表日期：

    2025年4月9日

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  • Katikala N. V. Ch Bhargava,
  • Shaik Mohammed Ibrahim,
  • Raghunath Kodi

摘要

In this paper, we investigate the effects of Hall current, radiation absorption, and diffusion thermo on the unsteady magnetohydrodynamic (MHD) free convective rotating flow over an isothermal plate embedded in a saturated porous medium. The analysis considers the influence of viscous dissipation, Joule heating, a heat source/sink, and a destructive chemical reaction. The governing equations are solved using the perturbation technique, and the impact of key non-dimensional parameters on velocity, temperature, and concentration profiles is examined through graphical representations. Furthermore, for engineering applications, the shear stress, Nusselt number, and Sherwood number are derived analytically and analyzed computationally concerning the primary flow parameters. The findings reveal that an increase in the Hall current parameter enhances the primary velocity while reducing the secondary velocity due to altered momentum distribution. The rotation parameter suppresses both velocity components due to Coriolis forces. The Diffusion thermo parameter increases velocity and temperature, whereas the Schmidt number reduces it due to lower mass diffusivity. For engineering applications, the shear stress, Nusselt number, and Sherwood number are derived analytically and analyzed computationally concerning key flow parameters. These insights have practical applications in MHD-based industrial cooling, rotating machinery, and geophysical fluid dynamics.