Department of Mathematics, Capital University of Science and Technology, 44000 Islamabad, Pakistan.
10.22034/cmde.2025.66849.3163
Abstract
In this paper, a novel micromagnetorotation boundary layer model is presented and analyzed with its physical significance on the thermal micropolar flow by computations using finite element method in FreeFEM++. Firstly, the theory of magnetorotation is taken into account within the framework of micropolar continuum to develop an ODE model. Secondly, the developed model is then implemented through open-source code for the first time in the literature. It is worth mentioning that FreeFEM++ does not have this capability inbuilt to handle one-dimensional simulations. In this study we successfully implemented and integrated the presented one-dimensional ODE model in FreeFEM++. Thermal flow characteristics are revisited in the presence of micromagnetorotation effects. This study is first of its kind since the energy equation incorporated with microcmagnetorotation effect is calculated using concepts of vector-tensor calculus. The results are shown against physical parameters of interest, i.e., the skin-friction coefficient and Nusselt number with micromagnetorotation effect. Moreover, thermal and hydrodynamic boundary layer profiles are also calculated with micromagnetorotation effects under different physical settings. Some interesting new findings are drawn and discussed in detail. This study finds its applications in the chemical and transport processes that are involved in industrial research such as in bio-engineering and magnetohydrodynamics.
Awan, E. Haider and Khan, M. Sabeel (2026). Computational analysis of micromagnetorotation within micropolar flow through implementation in FreeFEM++. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2025.66849.3163
MLA
Awan, E. Haider, and Khan, M. Sabeel. "Computational analysis of micromagnetorotation within micropolar flow through implementation in FreeFEM++", Computational Methods for Differential Equations, , , 2026, -. doi: 10.22034/cmde.2025.66849.3163
HARVARD
Awan, E. Haider, Khan, M. Sabeel (2026). 'Computational analysis of micromagnetorotation within micropolar flow through implementation in FreeFEM++', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2025.66849.3163
CHICAGO
E. Haider Awan and M. Sabeel Khan, "Computational analysis of micromagnetorotation within micropolar flow through implementation in FreeFEM++," Computational Methods for Differential Equations, (2026): -, doi: 10.22034/cmde.2025.66849.3163
VANCOUVER
Awan, E. Haider, Khan, M. Sabeel Computational analysis of micromagnetorotation within micropolar flow through implementation in FreeFEM++. Computational Methods for Differential Equations, 2026; (): -. doi: 10.22034/cmde.2025.66849.3163
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