TY - JOUR N2 - The perspective of the current analysis is to represent the incompressible viscous flow past a low permeable spheroid contained in a fictitious spheroidal cell. Stokes approximation and Darcy’s equation are adopted to govern the flow in the fluid and permeable zone, respectively. Happel’s and Kuwabara’s cell models are employed as the boundary conditions at the cell surface. At the fluid porous interface, we suppose the conditions of conservation of mass, balancing of pressure component at the permeable area with the normal stresses in the liquid area, and the slip condition, known as Beavers-Joseph-Saffman-Jones condition to be well suitable. A closed-form analytical expression for hydrodynamic drag on the bounded spheroidal particle is determined and therefore, mobility of the particle is also calculated, for both the case of a prolate as well as an oblate spheroid. Several graphs and tables are plotted to observe the dependence of normalized mobility on pertinent parameters including permeability, deformation, the volume fraction of the particle, slip parameter, and the aspect ratio. Significant results that influence the impact of the above parameters in the problem have been pointed out. Our work is validated by referring to previous results available in literature as reduction cases. L1 - http://journals.pan.pl/Content/119847/PDF/AME_2021_137044.pdf L2 - http://journals.pan.pl/Content/119847 PY - 2021 IS - No 2 EP - 146 DO - 10.24425/ame.2021.137044 KW - permeable spheroid KW - cell models KW - Stokes law KW - Darcy's Law KW - BJSJ condition A1 - Bucha, Tina A1 - Prasad, Madasu Krishna PB - Polish Academy of Sciences, Committee on Machine Building VL - vol. 68 DA - 05.06.2021 T1 - Slow flow past a weakly permeable spheroidal particle in a hypothetical cell SP - 119 UR - http://journals.pan.pl/dlibra/publication/edition/119847 T2 - Archive of Mechanical Engineering ER -