Non - linear Blood Flow Analysis on MHD Peristaltic Motion of a Williamson Fluid in a Micro Channel

The blood movement of a Williamson fluid with uniform applied magnetic field is studied in a micro-channel produced by the transport of the waves of peristalsis by the unchanged speed however having distinct amplitudes and phase on the elastic walls. The article is also expressed and examined by a regular perturbation sequences of a Weissenberg number as a parameter. We further obtain an explicit design for the axial velocity and the pressure gradient up to the first order. The impact of different pertinent parameters of the fluid flow phenomena is exposed and conversed with the assistance of several graphs.