Equivalent Lienard-type models for a fluid transmission line

The main contribution of this paper is the derivation of spatiotemporal Lienard-type models for expressing the dynamical behavior of a fluid transmission line. The derivation is carried out from a quasilinear hyperbolic system made of a momentum equation and a continuity one. An advantage of these types of models is that they are suitable for formulating estimation algorithms. This claim is confirmed in the present paper for the case of fluid dynamics, since the article presents the conception and evaluation of a Lienard model-based observer that estimates the parameters of a pipeline such as the friction factor, the equivalent length and the wave speed. To show the potentiality of the approach, results based on some simulation and experimental tests are presented. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.