¹Department of Mathematics, National Institute of Technology Patna Bihar India

^2,3Department of Mathematics, Govt. S.M.S Model Science College, Gwalior India

 This paper concerns the slow viscous flow through a swarm of porous spherical particles enclosing a solid core. The Brinkman equation inside and the Stokes equation outside the porous spherical shell in their stream function formulations are used. As boundary conditions, continuity of velocity, continuity of normal stress and stress-jump condition at the porous and fluid interface, the continuity of velocity components on the solid spherical core are employed. On the hypothetical surface, uniform velocity and Kuwabara boundary conditions are used. The drag force experienced by each porous spherical shell in a cell is evaluated. As a particular case, the drag force experienced by a porous sphere in a cell with jump is also investigated. The earlier results reported for the drag force by Deo and Datta¹⁴ for the drag force experienced by a porous sphere in a cell without jump, Kuwabara⁴ for a solid sphere in a cell and Qin and Kaloni⁶ for a porous sphere in an unbounded medium have been then deduced. Representative results are presented in graphical form and discussed.