Abstract
The effect of two-parameter of Pasternak foundations on the oscillations of composite pipelines conveying a two-phase slug flow is studied in the paper. To analyze the oscillations of the pipelines conveying gas-containing fluid, a viscoelastic model of the theory of beams and a model of Pasternak foundation are used. The Boltzmann-Volterra hereditary theory of the viscoelasticity is used to describe the viscoelastic properties of the pipeline material and earth foundation. A computational algorithm has been developed for solving problems of calculating the oscillatory processes in the pipelines conveying a two-phase gas-containing flow. On the basis of the computational algorithm developed, a set of applied computer programs has been created, which makes it possible to carry out numerical studies of pipeline oscillations. The effect of the flow rate of gas and liquid phases, the effect of tensile forces in the longitudinal direction of the pipeline, Pasternak foundations parameters, the parameters of singularity in the heredity kernels on the oscillations of the pipeline made of composite materials are numerically investigated. It is found that an increase in the length of the gas bubble zone leads to a decrease in the critical velocity of a two-phase slug flow.
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