Exact Solutions for the Oscillatory flow of Micropolar fluid outwith a fluid sphere using slip

Résumé

In this paper, we investigate an axisymmetric rectilinear flow over a micropolar fluid sphere particle in an incompressible non-Newtonian fluid that oscillates with minuscule amplitudes. The fluid velocity field and microrotation components were shown to have analytical expressions. The velocity field was studied using modified Bessel functions and stream function under slip circumstances on the boundary. For rectilinear oscillations, the drag force acting on the particle was calculated. Values of the slip parameter, cross viscosity parameter, real drag, and imaginary drag for micro polarity parameters are retrieved. Both tabular and visual representations of numerical quantities are used. It was observed that there was a direct relation between slip parameter values, real drag and inverse relationship between slip parameter and imaginary drag for different cross viscosity and micro polarity values. Results for the drag force are compared for some particular cases. Which agree with values in literature.