«Automation and Informatization of the fuel and energy complex»

Unsteady movement of incompressible fluid in a pipeline with withdrawal and pumping

UDC: 622.691.4:532.5:617.443
DOI: -

Authors:

¹ Ukhta State Technical University, Ukhta, Russia

Keywords: oil pipeline, pressure, practically incompressible fluid, hyperbolic equation, sampling, pumping, Fourier transform

Annotation:

The high pressure at which main oil and gas pipelines operate is the main force factor affecting the linear part of the transportation system. Ensuring pipeline systems accident-free operation requires development of effective methods both at the design stage and during operation. The purpose of this article is to study the dynamics of a droplet liquid unsteady pressure on a pipeline section. The authors of the article consider a horizontal section of an oil pipeline. The transported medium is a practically incompressible liquid. In the area under consideration there are withdrawal and pumping points. Based on the continuity equation and the dynamic equation of motion, a differential equation of hyperbolic type was compiled. The equation takes into account the liquid inertial properties and friction against the pipe walls. The same equation includes additional pumping and withdrawal with given mass flow rates. The set problem was solved under boundary conditions of the first kind. The calculated dependencies were obtained in the form of explicit functions. Asymptotic continuations are considered. The calculation results are presented in the form of graphs. The calculation formulas developed by the authors of the article allow calculating unsteady pressure for pipelines with different characteristics under initial and boundary conditions. Thus, one of the factors causing an emergency situation comes under control.

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