Navegando por Assunto "Method of Lines (MOL)"

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Análise do escoamento magnetohidrodinâmico micropolar de sangue e da captura magnética de nanopartículas em vasos sanguíneos
(Universidade Federal do Pará, 2025-05-09) PONTES, Fábio de Andrade; MIYAGAWA, Helder Kiyoshi; http://lattes.cnpq.br/5848592858919971; MACÊDO, Emanuel Negrão; http://lattes.cnpq.br/8718370108324505
The aim of this work is to numerically analyze the transient two-dimensional magnetohydrodynamic pulsatile flow of micropolar blood considering the heat, mass and momentum transfers through a blood vessel in the presence of a magnetic field applied in the region of a symmetrical stenosis. The flow is considered laminar and incompressible and the magnetic nanoparticles are injected into the blood vessel and captured by the action of the magnetic field in the stenosis. The Method of Lines (MOL) was applied in the spatial discretization of the radial variable of the original 2D-transient model transforming it into a system of 1D-transient PDEs, which was solved numerically by the NDSolve subroutine of the Mathematica 13.1 software. The results of the converged MOL are verified with the results generated by the NDSolve subroutine applied directly to the original 2D-transient model and both are also compared with an analytical solution obtained for the limiting case, obtaining a good agreement between them. The effects of physical model parameters such as Lewis, Hartmann and Womersley numbers, the nanoparticle death kinetic constant and the mass Biot number are studied. The results show that in stenosis the flow is decelerated due to the magnetic field, as well as the microrotation velocity. The nanoparticle fraction field is also affected by the presence of the magnetic field, with concentration being increased in the stenosis region. The average velocity and microrotation increase in stenosis due to the narrowing of the arterial lumen. The average temperature and volumetric nanoparticles fraction are also elevated in the stenotic region due to the action of the magnetic field.