Effect of inverse-square heat absorption on MHD natural convection flow in a vertical concentric annulus with radial and induced magnetic fields

Muhammad Yusuf  Muhammad; Yusuf Ya’u  Gambo; Muhammad Auwal  Lawan

doi:10.59400/mea2534

Muhammad Yusuf Muhammad Department of Mathematics, Aliko Dangote University of Science and Technology, Kano 713103, Nigeria
Yusuf Ya’u Gambo Department of Mathematics, North West University, Kano 713103, Nigeria
Muhammad Auwal Lawan Department of Mathematics, Aliko Dangote University of Science and Technology, Kano 713103, Nigeria

Article ID: 2534

Keywords: MHD; natural convection; heat generation; vertical concentric annulus; Hartmann number; inverse-square heat generation

Abstract

This study investigates the impact of inverse-square heat absorption on steady, fully developed laminar MHD natural convection flow within an infinite vertical concentric annulus under the influence of applied radial and induced magnetic fields. The governing transport equations in the model were transformed into a non-dimensional form, allowing for the derivation of unified analytical solutions for the velocity, temperature, magnetic field, and induced current density distributions for both isothermal and iso-flux on the inner cylinder of concentric annuli. The influence of key physical parameters in the model is illustrated through a comprehensive analysis of graphs and tables. The findings reveal that increasing the heat absorption parameter intensifies thermal gradients near the inner cylinder, while stronger magnetic fields suppress fluid motion, reducing mass flux and enhancing flow resistance. Mass flux and induced current density decrease as Hartmann number and heat absorption parameter increase, demonstrating the combined influence of thermal and electromagnetic forces. The magnetic field distributions and associated current densities exhibit pronounced attenuation near the inner cylinder under a higher Hartmann number. These findings highlight the intricate interaction between thermal and electromagnetic forces, offering valuable insights for applications in nuclear reactors, MHD power generation, and advanced cooling technologies. This study contributes to refining MHD-driven thermal management approaches for Advanced engineering systems.

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