Информационная система "Конференции"

Abstracts

A possibility of stabilization of the liquid flow in the tube by the multilayered viscoelastic coating is considered. The governing system of equation includes the mass and momentum equations for the liquid and viscoelastic wall and the rheological relationship for the layers. The boundary conditions are continuity conditions for the velocity and normal and tangential stress tensor components at the fluid-wall interface and between the layers [1-2]. At the outer surface of the tube the no displacement (fixed surface) and no stress (unloaded surface) conditions have been considered.

Stability of the Poiseuille flow in the tube has been studied and temporal and spatial Eigen modes of the system (1) have been found and analyzed using a numerical method described in [Hamadiche, Kizilova 2005]. Influence of the rheological parameters of the layers and the Reynolds number on the spatial and temporal amplification rate of the most unstable mode is investigated. It is shown that the system can be in absolute and convective unstable states and the absolute instability of the system can be converted into a convective one, and in some cases the system can be stabilized by an appropriate choice of the rheological parameters. Therefore the instability that leads to the wall oscillations, noise generation and possible destruction of the system can be eliminated at different boundary conditions. The model can be applied to blood vessels which are composed of three viscoelastic layers and to the distensible tubes conveying fluids in technical devices.

Note. Abstracts are published in author's edition

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