In this talk, we consider blood in small vessels modeled as an
incompressible shearthinning fluid in a straight rigid and impermeable
tube with circular crosssection. The full 3D unsteady model is
simplified using a onedimensional hierarchical approach based on the Cosserat
theory
related to fluid dynamics. From this approach, we obtain the unsteady
relationship between mean pressure gradient (wall shear stress,
respectively) and volume flow rate over a finite section of the tube with
constant radius for the specific case of power law viscosity function.
Attention is focused on some numerical simulation of steady/unsteady
flows and on the analysis of perturbed flows.
