To detect the influence of MHD on migration of hybrid nanopowders, CVFEM has been employed in this paper. Mixture of Fe₃O₄ and MWCNT was added in water and for calculating properties, experimental formulas were utilized. To increase the convective mode, porous media has been used and tank was experienced in the horizontal magnetic field. In governing equations, there exist two new terms, one for permeable media and the other for MHD effect. Such complex physics needs special numerical approach and CVFEM has been utilized for this goal. Final formulation of PDEs did not have pressure terms and the stream function scalar was introduced. As permeability of zone enhances, nanopowders can transfer faster and the interaction of them with wall enhances, so, Nusselt number augments as well as stream function. Besides, employing higher Ha, the force against the buoyancy force increases and the velocity of operating fluid declines which provides lower convective flow. With rise of Ha, stream function declines about 48% and Nu declines about 31.92% when Da=100. As Da rises, Nu rises about 33.43% when Ha=0. Augment of Rd leads to augmentation of Nu.

中文翻译：

---

洛伦兹和渗透率对纳米粒子迁移的影响

为了检测 MHD 对混合纳米粉末迁移的影响，本文采用了 CVFEM。Fe ₃ O _{4的混合物}并且将MWCNT添加到水中并且为了计算性质，使用了实验公式。为了增加对流模式，使用了多孔介质，并在水平磁场中体验了储罐。在控制方程中，有两个新术语，一个是渗透介质，另一个是 MHD 效应。如此复杂的物理需要特殊的数值方法，CVFEM 已用于此目标。PDE 的最终公式没有压力项，并且引入了流函数标量。随着区域渗透性的增强，纳米粉末可以更快地转移，并且它们与壁的相互作用增强，因此，努塞尔数增加以及流功能。此外，采用较高的 Ha，抵抗浮力的力增加，工作流体的速度下降，这提供了较低的对流流动。大=100. 随着 Da 的上涨，Nu 上涨约 33.43% 时哈=0. Rd 的增加导致 Nu 的增加。