[Theoretical and numerical modeling of flow problems of non Newtonian fluids through deformable tubes]

The objective of the present work is a numerous simulation of blood flow considered with a two-fluid model [Newtonian fluid-Casson generalized fluid] through deformable tubes. The porosity, anisotropy, axial and radial deplacement of the pipe are considered. Using an implicit finite differences method to solve the equations systems local, integral and the duct, the global and the local quantities for the flow were determined. This study considered as a step in the modelling of flow in blood vessels, may also contribute to other important fields such as water desalination or gel filtration