Mathematical modeling of a small pressure disturbance in gas flow of a long pipeline

Abstract

A mathematical model for propagation of a small disturbance in the moving gas of a long pipeline has been built in the paper. The model contains two coupled equations, the coefficients of which are expressed via the parameters of the initial process mass density and mass flow rate. In the frame of the model, the influence of parameters of the initial stationary gas flow on propagation of the pulses initiated by a local fluctuation, originated in the stream, was studied numerically. The developed model can be used for quantitative analysis of oscillations of operational regimes of the long-distance pipeline, which are caused by random stream fluctuations and/or operational pulsation of the compressors. The model can be also useful to study negative pressure waves emerging in the pipeline during its local depressurization.

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“…Chekurin's authorId=6602558772 pipeline gas dynamics theory is presented in the works [2][3][4][6][7][8] variation method for solving inverse problems in [5], Chekurin-Postolaki's method of nondestructive testing [9][10][11], Chekurin-Khymko's numerical model [12], a new criterion -in [13]. The work [8] on thermoelasticity-thermodynamic approach was get in Encyclopedia of Thermal Stresses and monograph was published in Springer, Cham.…”