







Vol.1 , No. 1, Publication Date: May 6, 2016, Page: 1-9
[1] | I. K. Hujaev, Laboratory "Modeling of Complex Systems", Center for Development of Software Products and Hardware-Software Complexes, Tashkent, Uzbekistan. |
[2] | Sh. K. Boltibaev, Laboratory "Modeling of Complex Systems", Center for Development of Software Products and Hardware-Software Complexes, Tashkent, Uzbekistan. |
The analytical decision of a problem on distribution of perturbations of the mass flow of the gas, presented in the form of Fourier series, on a linear site of a gas pipeline under the influence of forces of a friction, gravitation and inertia is received. Thus quasi-one-dimensional equations linearized by I. A. Charny also are presented in the form of the uniform equation concerning pressure and the mass flow. The qualitative analysis of the decision is passed and the separate result of computing experiment under the decision is presented.
Keywords
Modelling of Gas Pipelines, Disturbance Perturbations of Mass Flow of Gas, Analytical Periodic Solution, the Influence of the Forces of Friction and Inertia in the Pipeline
Reference
[01] | Tevyashev A, Asaenko Y. Statistical analysis concerning model of quasi-stationary mode of natural gas transportation through pipeline section // Technology audit and production reserves, -Kharkov, 2014; Volume 1, №4 (15), -pp. 6–8. |
[02] | Vodyanik P. F. Automation of management by gas production processes. М: Nedra, 1974. – p. 208. |
[03] | Hujaev I. K., Boltibaev Sh. K. About the tasks of daily changes of pressure and mass flow rate of gas pipeline // Joint release of Uzbek journal «The problems informatics and energetics», collection of scientific papers «Questions of computing and applied mathematics» by materials of Republican scientific and technical conference «The modern condition and ways of development of information technologies», Tashkent, September 23-26, 2009. - pp. 151-155. |
[04] | Hujaev I. K., Boltibaev Sh. K. Modeling of gas transportation process in the conditions of uneven consumption // The modern state and perspectives of development of information technologies: Reports of the Republican Scientific and Technical Conference, September 5-6, 2011, Tashkent: IMIT Academy of Sciences of Republic Uzbekistan. -pp. 259-262. |
[05] | Seleznev V. E, Alyoshin V. V., Pryalov S. N. Modern computer training apparatus in pipeline transport. Mathematical methods of modeling and practical application / Under the editorship of V. E. Seleznev. М: MAX Press, 2007. – 200 p. |
[06] | Charny I. A. Unsteady movement of a real liquid in pipes. Ed. 2. – М: Nedra, 1975. – 296 p. |
[07] | Budak B. M., Samarsky A. A., Tihonov A. N. Collection of problems in mathematical physics. - M.: Nauka, 1972-678 p. |
[08] | Бобровский С. А., Щербаков С. В., Гусейн-Заде М. А. The movement of gas in pipelines with itinerary selection – M.: Nauka, 1972. – 193 p. |
[09] | Tihonov A. M., Samarsky A. A. Equation of the mathematical physics. - М: Science, 1977. - 736 p. |
[10] | Hujaev I. K., Boltibaev Sh. K. Periodic change of gasodynamic parametres of a linear section of a horizontal gas pipeline under various boundary conditions // Questions of computing and applied mathematics. - Tashkent, 2009. - Issue. 121. – pp. 110-125. |