Some mathematical and numerical methods for determination of behaviour law of blood.

Abstract

The determination of a constitutive law of a fluid, the red blood can be obtained by fitting the parameters of a theorical law with experimental results. For an experience, several expressions can be agreed, each of them explain a particular property. The aim of my purpose is to describe some mathematical and numerical methods, in relation with two experiences, able to give the value of an unknown quantity by computation and to fit it with measured quantity. The first method use finite element to modelize a couette nonlineer flow. It can be approach by a very simple model using only the computation of a nonlinear differential equation. The second use the perturbation method and the expansion in power serie.