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Flow past composite cylindrical shell of porous layer with a liquid core: magnetic effect
Journal of the Brazilian Society of Mechanical Sciences and Engineering ( IF 2.2 ) Pub Date : 2020-08-07 , DOI: 10.1007/s40430-020-02539-4
Krishna Prasad Madasu , Tina Bucha

The creeping flow of a magnetic fluid perpendicular to a porous cylindrical shell is investigated, employing the unit cell model. The viscous fluid is assumed to be flowing in three zones divided as fluid, annular porous, and cavity regions, respectively. We apply a uniform magnetic field in a transverse direction of flow and then emphasize the influence of the Hartmann layers which are developed in their vicinity. Modified Stokes and modified Brinkman’s equations are employed in the liquid and porous regions, respectively. Happel and Kuwabara cell models are used as the interface conditions at the cell surface, and at the fluid–porous interface, continuity of velocity components, continuity of normal stresses, and stress jump condition for tangential stresses are applied. An expression for Kozeny constant for the cylindrical shell is presented. Representation of Kozeny constant under the influences of the pertinent parameters such as Hartmann numbers, stress jump coefficient, fractional void volume, viscosity ratios, permeability, and separation is displayed through graphs and a table. The results are compared with the cases which do not involve magnetic effect. They reveal the strong impact of Hartmann’s numbers on the resisting force experienced on the cylindrical shell. The results agree well with previous available works.



中文翻译:

流过带液芯的多孔层复合圆柱壳:磁效应

垂直于多孔圆柱壳的磁性流体的蠕变流,采用了晶胞模型进行了研究。假设粘性流体在三个区域中分别流动,分别划分为流体,环形多孔区域和空腔区域。我们在流动的横向方向上施加均匀的磁场,然后强调在其附近形成的Hartmann层的影响。在液体和多孔区域分别采用了改进的斯托克斯方程和改进的布林克曼方程。Happel和Kuwabara细胞模型用作细胞表面的界面条件,并在流体-多孔界面上应用速度分量的连续性,法向应力的连续性和切向应力的应力跳跃条件。给出了圆柱壳的Kozeny常数的表达式。通过图形和表格显示在诸如哈特曼数,应力跃变系数,空隙率分数,粘度比,渗透率和分离度等相关参数影响下的Kozeny常数表示。将结果与不涉及磁效应的情况进行比较。它们揭示了哈特曼数对圆柱壳承受的阻力的强烈影响。结果与先前可用的作品非常吻合。它们揭示了哈特曼数对圆柱壳承受的阻力的强烈影响。结果与先前可获得的作品非常吻合。它们揭示了哈特曼数对圆柱壳承受的阻力的强烈影响。结果与先前可获得的作品非常吻合。

更新日期:2020-08-08
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