ISJ Theoretical & Applied Science 10(66) 2018

Philadelphia, USA

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

Distribution of the impulse in pipelines with irregularly distributed hydraulic resistance.

Full Article: PDF

Scientific Object Identifier: http://s-o-i.org/1.1/TAS-10-66-8

DOI: https://dx.doi.org/10.15863/TAS.2018.10.66.8

Language: Russian

Citation: Bozorov, O.S., Khujaev, I.Q., & Mamatqulova, M.S. (2018). Distribution of the impulse in pipelines with irregularly distributed hydraulic resistance. ISJ Theoretical & Applied Science, 10 (66), 54-57. Soi: http://s-o-i.org/1.1/TAS-10-66-8 Doi: https://dx.doi.org/10.15863/TAS.2018.10.66.8

Pages: 54-57

Published: 30.10.2018

Abstract: The problem of the distribution of an impulse along a horizontal pipeline, which has a variable cross-sectional area, is considered. To solve the classical quasi-one-dimensional problem of N.E. Zhukovsky, methods of simplification from the viewpoint of the physics of nonlinear waves are applied. With the introduction of the auxiliary function, equations are formed with respect to the calibration functions of the forward and backward waves in the field of friction and inertia. For the cases of a slow change in the cross-sectional area and the propagation velocity of small pressure perturbations along the length of the pipeline with the introduction of a "slow coordinate," simplified nonlinear equations with respect to calibration functions are constructed. An explicit solution of the problem is obtained for the case of nonlinear hydrodynamic resistance.

Key words: the main gas pipeline, the friction of force, the horizontal gas pipeline, variable diameter, nonlinear problem of the hydrodynamic resistance.