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

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

MMC.
2017;
Volume 4, Number 2
: pp. 126-138
https://doi.org/10.23939/mmc2017.02.126
Received: December 10, 2017

Math. Model. Comput. Vol.4, No.2, pp.126-138 (2017)

Authors:
  1. V. Chekurin
  2. Olha Khymko
1
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine; Kuyawy and Pomorze University in Bydgoszcz
2
Lviv Polytechnic National University

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.

nonlinear problems
non-stationary processes
gas dynamics
gas flow in long pipeline
wave in moving gas
small disturbance propagation
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