Computational analysis of an axisymmetric flow of Jeffrey fluid in a permeable micro channel

This study presents the computational analysis of axisymmetric flow of Jeffrey fluid in a permeable micro channel with linear reabsorption. Mathematical formulation of complex problem has been carried out in cylindrical coordinates due to the axisymmetric flow. The nonlinear set of partial differential equations is solved by the recursive approach and hydrodynamic aspects of axisymmetric flow of Jeffery fluid are explained in detail. Results are achieved for axial and radial velocity, hydrostatic pressure, stream function, leakage flux, and fractional reabsorption on the boundary. Numerical analysis has also been carried out to demonstrate the effects of emerging parameters due to linear reabsorption on the boundary of micro channel and relaxation time due to Jeffrey fluid parameters. The findings of the study suggest that axisymmetric flow decelerates by the growing values of relaxation time but the reabsorption rate gives the increasing effect on shear stress, volume flow rate, and transverse velocity. This study is useful for bioengineers to design the medical tools required for the flow of bio fluids.