BLOOD-FLOW IN ARTERIES - NONLINEAR AND DI SSIPATIVE EFFECTS

We define a model for the transmission of the pressure pulse in the ar terial system where dissipative effects (blood viscosity, vessel visco elasticity), nonlinear phenomema (nonlinear elasticity, convection eff ect) are included. Tapering of arteries are not considered. Using a me thod analogous to the well known Von Karman-Pohlhausen method but tran sposed here for a pulsatile flow, we end up with a system of three cou pled nonlinear partial differential equations depending only on time a nd axial coordinate. This system governs the dynamics of internal arte ry radius R(x, t), centre velocity U-0 (x, t) and q(x, t) a quantity r elated to the presence of boundary layer effects. Finally, we present some numerical computations for this set of equations.