Cell models for micropolar fluid past a porous micropolar fluid sphere with stress jump condition

The axisymmetric creeping flow of micropolar fluid past a porous surface saturated with micropolar fluid is investigated analytically. A sphere's surface is assumed to have adequate boundary conditions, but the appropriate boundary conditions applied to its fictitious envelope differ based on the type of cell model used. For various parameter values, velocities and microrotation distributions are displayed in multiple graphs, and each is handled separately using an analytical method. The normalized hydrodynamic drag force acting on a spherical droplet-in-cell is computed for various values of volume fraction, permeability, micropolarity, and stress jump parameter. A model for the motion of micropolar porous fluid spheres in micropolar fluids in cells has good agreement with literature variable values. Published under an exclusive license by AIP Publishing.