Abstract

The equation of continuity describing the two-phase bubble flow was modified to take into account the influence of the viscoelasticity of the pipe walls. The modified equation of continuity together with the equation of motion was solved using the method of characteristics. Simulations carried out using in-house written program in Matlab indicate a high correspondence between simulated and experimental runs. The modified Shu model is characterized by simple construction, thanks to which it is easy to quickly implement this solution in commercial computer programs used to model transient states in pipes. It takes into account three basic phenomena accompanying these flows, namely: frequency-dependent hydraulic resistance, cavitation and viscoelastic effect off the pipe wall. Further work on its extension is underway.

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