Numerical study of the transient processes in a long pipeline caused by its depressurization
Fìz.-mat. model. ìnf. tehnol. 2017, 26:100-111
DOI:
https://doi.org/10.15407/fmmit2017.26.100Keywords:
long pipelines, gas dynamics model, management current regimes, pipeline depressurization models, transients transfer of mass and impulseAbstract
A mathematical model for mass and momentum transfer in a long gas pipeline under its depressurization has been constructed. Nonlinear problems for transient processes in the pipeline under a local depressurization have been formulated. With the use of finite difference method, the nonstationary distributions of pressure and flow rate in the pipeline have been studied for various regimes of compressors operation. The obtained results can be used for modeling gas-dynamic processes in main gas pipelines during their accidental depressurization, forecasting of possible losses, and decision making on how to cure the accident and minimize its consequences.
References- Murvay, P.-S., Silea, I. (2012). A survey on gas leak detection and localization techniques. Journal of Loss Prevention in the Process Industry, 25, 966-973.
DOI https://doi.org/10.1016/j.jlp.2012.05.010 - Chekurin, V., Khymko, O. (2017). Matematychni modeli dlia identyfikatsii vytoku v dovhomu hazoprovodi. Fizyko-matematychne modeliuvannia ta informatsiini tekhnolohii, 25, 157-169
- The Engineering Toolbox/ https://www.engineeringtoolbox.com/colebrook-equation-d_1031.html
- Bobrovskij, S.A., Sherbakov, S.G., Yakovlev, E.I. (1976). Truboprovodnyj transport gaza. M:Nauka.
- Glumov, D.N., Strekalov, A.V. (2011). Sposob rascheta dinamicheskoj vyazkosti gazov v shirokom diapazone davlenij. Elektronnyj nauchnyj zhurnal «Neftegazovoe delo». Retrieved from http://www.ogbus.ru
- Wassgren, C. (2010). Notes on Fluid Mechanics and Gas Dynamics. School of Mechanical Engineering Purdue University 2010. Retrieved from https://purduearchives.files.wordpress.com/2016/11/2010_08_14_- notesonfluidmechanicsandgasdynamics_wassgren.pdf
- Kunz, O., Wagner, W. (2012). The GERG-2008. Wide range equation of state for natural gases and other mixtures. An expansion of GERG-2004. J. Chem. Data, 57, 2031-3091
DOI https://doi.org/10.1021/je300655b - American Gas Association, AGA Report No. 8. (1994). Compressibility Factors of Natural Gas and Other Related Hydrocarbon Gases, Second Edition, Second Printing. American Gas Association, Arlington, Virginia.
- Chekurin, V. F. (2010). Matematychna model perekhidnykh protsesiv perenesennia masy y impulsu v dovhomu hazoprovodi. Fizyko-matematychne modeliuvannia ta informatsiini tekhnolohii, 1, 210-219.
- Bomelburg, H. J. (1977). Estimation of Gas Leak Rates Through Very Small Orifices and Channels. Battelle Pacific Nortwest Laboratories, Richland, Washington.
DOI https://doi.org/10.2172/7318185 - Kirillin, V. A., Sychev, V.V., Shejndlin, A. E. (1983). Tehnicheskaya termodinamika. Moskva «Energoatomizdat».
- Mathews, J. H., Fink, K. K. (2004). Numerical Methods Using Matlab, 4th Edition. Upper Saddle River, New Jersey, USA: Prentice-Hall Inc.