The major goal of this work is to analyze the magnetic effect on the creeping viscous flow past a porous spheroidal particle, a particle of slightly deformed spherical shape. Brinkman’s model is proposed to govern the flow in the porous media. Boundary value problem considers the conditions of continuity of velocity components, continuity of normal stresses, and stress jump boundary condition for tangential stress. A transverse magnetic field of uniform nature is applied to the flow. An expression for the drag force acting on the spheroidal particle is derived analytically. The effects of the physical parameters involved in the flow like permeability, deformation, Hartmann number’s, viscosity ratio, and stress jump coefficient parameters are visualized through graphs and tables. The applied magnetic field seems to suppress the flow of fluid that leads to the increase in the drag experienced on the porous spheroid. It is also observed that the increase in the deformation, stress jump, and permeability decreases the drag coefficient. Our results without magnetic effect match with the results reported earlier in the literature.

这项工作的主要目的是分析通过多孔球体颗粒（略微变形的球形颗粒）对蠕变粘性流的磁效应。提出了Brinkman模型来控制多孔介质中的流动。边值问题考虑了速度分量的连续性，正应力的连续性和切向应力的应力跃变边界条件。具有均匀性质的横向磁场被施加到该流。通过解析得出作用在球形颗粒上的阻力的表达式。流动性所涉及的物理参数（例如渗透率，变形，哈特曼数，粘度比和应力跃变系数参数）的影响可以通过图形和表格直观地看到。施加的磁场似乎抑制了流体的流动，该流体的流动导致了多孔球体上所受阻力的增加。还可以观察到，变形，应力跳跃和渗透率的增加会降低阻力系数。我们的无磁效应的结果与文献中先前报道的结果相符。