ISJ Theoretical & Applied Science 10(66) 2018

Philadelphia, USA

Mamatqulov, M., Bozorov, O.S., & Khujaev, I.Q.

Interaction opposing travelling impulses in pipelines.

Full Article: PDF

Scientific Object Identifier: http://s-o-i.org/1.1/TAS-10-66-7

DOI: https://dx.doi.org/10.15863/TAS.2018.10.66.7

Language: Russian

Citation: Mamatqulov, M., Bozorov, O.S., & Khujaev, I.Q. (2018). Interaction opposing travelling impulses in pipelines. ISJ Theoretical & Applied Science, 10 (66), 48-53. Soi: http://s-o-i.org/1.1/TAS-10-66-7 Doi: https://dx.doi.org/10.15863/TAS.2018.10.66.7

Pages: 48-53

Published: 30.10.2018

Abstract: Analytical solutions of the problem of counterpropagating waves in a horizontal pipeline with a constant cross-sectional area, which differ significantly from counterpropagating waves in unbounded space, are presented. In mathematical modeling, the equations of N.E. Zhukovsky on the pipeline transportation of real liquids are used. The solutions are constructed and analyzed for the constant and density-dependent values of the velocity of propagation of small pressure perturbations in the liquid-pipe system, when the hydrodynamic velocity is much less than the speed of sound and when they are close. It is proved that at a variable value of the sound velocity the hydrodynamic velocity decreases due to the counter propagating wave. The results are useful for studying the features of the operation of pipelines in conditions of impulse propagation and for an adequate assessment of the energy intensity of the process of pipeline transportation of various media.

Key words: pipeline, the laws of conservation of mass and momentum, the friction force, small pressure perturbations, hydrodynamic speed, nonlinearity.