An evaluation of a micropolar model for blood flow through an idealized stenosis

In this paper, the behavior of a viscous fluid described by Newtonian constitutive theory is compared with that predicted by a model based on micropolar continuum theory. The geometry chosen for this comparative analysis is a stenosis in which gradient effects should be pronounced. A range of boundary conditions for fluid microspin are considered. Although velocities and streamlines are found to be similar for the two continuum models, striking differences in shear stresses are revealed. These differences may be as high as 50% for vanishing microspin boundary conditions. Such significant discrepancies highlight the need for further study of higher order modeling of blood flow.