The crude oil is a non-Newtonian fluid
exhibiting, during its flow, phenomena which cannot be described with the
traditional models which consider the fluid as homogeneous. Thus, it is
necessary to use or develop a more realistic approach which can take into
account the microstructure characteristics of crude oils in the law of
behaviour. The application of a non-linear differential model in
the case of crude oil flow can not be used. This paper deals with the
modelling approach resulting from rheology of the polymer solutions. The
Modified Phan-Thien and Tanner model (MPTT) is considered in this paper for
an axisymmetric flow in a pipe. The shear stresses calculation with this
model is an important step as it allows to study subsequently some important
phenomena as the corrosion or the pressure drop which is controlled by the
friction factor under turbulent flow conditions. The calculations were about
different crude oils and the obtained results are compared to experiments.
Some discussions are given.