In this article, combine effects of Magnetohydrodynamics and partial slip on Blood flow of Ree–Eyring
fluid through a porous medium have been investigated. The walls of the non-uniform porous channel
are considered as compliant. The governing equation of Ree–Eyring fluid for blood flow are simplified
using long wavelength and low Reynolds number approximation. The obtained resulting equation are
solved analytically and exact solution has been obtained. The impact of different physical parameters
such as Hartmann number, slip parameter, porous parameter, wall rigidity parameter, wall tension
and mass characterization parameter are taken into account. It is found that velocity distribution
increases due to slip effects while its behavior is opposite for Hartmann number. Trapping mechanism
has also taken under consideration by drawing contour streamlines.
