2013 | OriginalPaper | Buchkapitel
Pressure Waves in Homogeneous Gas-Liquid Mixture Flows in Deformable Pipelines
verfasst von : Elaoud Sami, Hadj-Taïeb Ezzeddine
Erschienen in: Design and Modeling of Mechanical Systems
Verlag: Springer Berlin Heidelberg
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To predict pressure waves in homogeneous gas-liquid mixtures in elastic flexible pipes, a mathematical model based on the gas-fluid mass ratio is presented. The density of the fluid is defined by an average of both fluid components. A relationship between the pressure and the cross-section of the pipe is developed taking into account the fluid-structure interaction. The two constitutive equations, conservation of mass and momentum, yield a set of partial differential equations which are solved by the irregular grid method characteristics method. The obtained results show that the pressure wave propagation is significantly influenced by the fluid compressibility and the pipe wall elasticity.