[New relationship stress parietal - flow for non permanent fluid in no driving Newtonian deformable porous wall and Anisotropic Viscoelastic]

The goal of the present work is to elaborate a relationship between wall shear stress and flow rate in porous anisotropic and viscoelastic tubes, for pulsatile flows of non Newtonian fluids. This contribution is done for the case of small values of Womersley parameter. The use of this relationship enabled to directly solve the wall and integral equations. Then the influence of the power law index, the fluid consistency, the filtration coefficient and the anisotropy of the wall on the flow rate and the wall shear stress was analyzed. This study, considered as a step in modeling of flow in blood vessels, may also contribute to other important fields such as water desalination or gel filtration