Modélisation de la contrainte pariétale pour un écoulement pulsé de fluide diphasique en conduite déformable de faible diamètre

Abstract

The present work deals with a two-fluid model for blood flow through deformable tubes of small diameter. The two-fluid flow consists of a core (suspension of red cells) and a peripheral red cell free plasma layer. From this model, taking into account the two-phase pulsatile flows, the non-Newtonian behaviour of core and the wall deformability of pipes, a wall shear-stress expression was elaborated for the Womersley numbers regarding the microcirculation. This relation allows the direct resolution of the equations governing such flows without numerical methods.