<p>In this paper, the effects of micromagnetorotation (MMR) are analyzed in a micropolar flow confined within a square domain containing rotating semicircular cylinders. For this purpose, a novel mathematical model is proposed based on micropolar theory with a non-isotropic magnetization effect. The flow dynamics within the micropolar continuum are governed by a system of partial differential equations, introducing several newly defined dimensionless parameters. The governing equations are reformulated into a weak-integral representation using the principles of variational calculus. A finite element-based numerical scheme is developed, and the solution algorithm is implemented using the FreeFEM++ platform. Computations are carried out to analyze the impact of MMR on the flow dynamics within the considered domain. The influence of magnetization and Hartman number are calculated on the flow characteristics. It is observed that MMR facilitates the early formation of secondary vortices within the semicircular cylinder cavities, thereby amplifying local vorticity and significantly modifying the flow structure. Moreover, MMR reduces velocity suppression and improves overall flow dynamics. MMR also alters the streamline structure, with increased curvature and boundary compression at higher magnetization. It also enhances flow transport, yielding higher velocities as a result of rotational effects. The results shown are of technological importance, as they can provide efficient solutions to practical problems in related industries, including biomedical engineering, electronics, and materials science.</p>

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On the effects of micromagnetorotation in a micropolar cavity over two semi-circular rotating cylinders

  • Isma Hameed,
  • Muhammad Sabeel Khan

摘要

In this paper, the effects of micromagnetorotation (MMR) are analyzed in a micropolar flow confined within a square domain containing rotating semicircular cylinders. For this purpose, a novel mathematical model is proposed based on micropolar theory with a non-isotropic magnetization effect. The flow dynamics within the micropolar continuum are governed by a system of partial differential equations, introducing several newly defined dimensionless parameters. The governing equations are reformulated into a weak-integral representation using the principles of variational calculus. A finite element-based numerical scheme is developed, and the solution algorithm is implemented using the FreeFEM++ platform. Computations are carried out to analyze the impact of MMR on the flow dynamics within the considered domain. The influence of magnetization and Hartman number are calculated on the flow characteristics. It is observed that MMR facilitates the early formation of secondary vortices within the semicircular cylinder cavities, thereby amplifying local vorticity and significantly modifying the flow structure. Moreover, MMR reduces velocity suppression and improves overall flow dynamics. MMR also alters the streamline structure, with increased curvature and boundary compression at higher magnetization. It also enhances flow transport, yielding higher velocities as a result of rotational effects. The results shown are of technological importance, as they can provide efficient solutions to practical problems in related industries, including biomedical engineering, electronics, and materials science.