A mathematical theory that could explain the propagation of nonlinear arterial pulse wave during red blood cell aggregation in an arterial segment is presented. The hyper-viscous fluid is assumed to obey the couple stress model. The nonlinear equations governing the fluid flow are formulated and transformed to hyperbolic systems of equations based on a simplifying assumption. Approximate solutions of the coupled nonlinear evolution equations (NLEE) are obtained by using Adomian decomposition method. The effects of pertinent fluid parameters are shown graphically and discussed.
