CREEPING FLOW ABOUT A TAINTED LIQUID DROP WITH A MICROPOLAR FLUID AND ALIGNED IN A POROUS MEDIUM FILLED WITH VISCOUS FLUID UTILIZING SLIP

A creeping viscous fluid flow over a partially contaminated (tainted) liquid drop (fluid sphere) which is placed fixed inside a Brinkman porous medium is assumed. An interfacial slip condition, shear stress continuity on the surface and regularity condition far from the body are considered. The momentum equation is solved by a variable separable method. The velocity in stream function, drag force for viscous fluid past a tainted micropolar fluid drop, viscous fluid past a tainted viscous fluid drop placed in a bounded porous medium are derived analytically. The drag force obtained is validated for special cases, observed that they are matching with the results available in literature. Numerical results of the drag coefficient with respect to varying porosity parameter, viscosity ratio are presented graphically. It is observed that porosity parameter, viscosity ratio is directly correlated with drag coefficient. The proposed problem has applications in biomedical activities and in the area of chemical engineering, etc.