Abstract
A potential-integral-index algorithm for analyzing the pressure fluctuations of gas flows in complex pipelines is proposed. Pressure fluctuations characterize the turbulent structure of gas flows, which exert shock effects on the walls of pipelines, which is one of the most important causes of a dangerous mechanical phenomenon—vibration, leading to the mechanical destruction of the pipeline. At each point in the gas flow, ordered sequences of pressure fluctuations form time series, which can be analyzed using the statistical method of a one-dimensional and two-dimensional time sweep of pressure fluctuations formed when the size of the sliding window, covering different regions of stochastic pulsations, changes. It is shown that the proposed algorithm allows one to find the singular points of the time series that are not detected using the traditional continuous wavelet transform, which plays an important role in assessing the dynamic stochastic structure of pressure fluctuations in pipeline flows.
Similar content being viewed by others
REFERENCES
Butusov, O.B., Gimranov, R.K., Kazanskii, G.M., Kantyukov, R.A., Kantyukov, R.R., Meshalkin, V.P., Modin, V.K., Mustafin, F.M., and Popov, A.G., Computer analysis of environmental risks of gas pipeline systems, Izv. Vyssh. Uchebn. Zaved., Khim. Khim. Tekhnol., 2015, vol. 58, no. 3, pp. 87–90.
Gimranov, R.K., Kantyukov, R.A., Butusov, O.B., Meshalkin, V.P., Popov, A.G., and Kantyukov, R.R., Computer analysis of integral indicators and indices of a comprehensive assessment of the impact of pulsations of gas flows on the walls of complex pipelines, Izv. Vyssh. Uchebn. Zaved., Khim. Khim. Tekhnol., 2015, vol. 58, no. 6, pp. 82–88.
Butusov, O.B. and Meshalkin, V.P., Komp’yuternoe modelirovanie nestatsionarnykh gazovykh potokov v slozhnykh truboprovodakh (Computer Simulation of Unsteady Gas Flows in Complex Pipelines), Moscow: Fizmatlit, 2005.
Grigor’ev, Yu.N., Vshivkov, V.A., and Fedoruk, M.P., Chislennoe modelirovanie metodami chastits-v-yacheikakh (Numerical Simulation by Particle-in-Cell Methods), Novosibirsk: Sib. Otd., Ross. Akad. Nauk, 2004.
Hockney, R.W. and Eastwood, J.W., Computer Simulation Using Particles, New York: McGraw-Hill, 1981.
Belotserkovskii, O.M. and Davydov, Yu.M., Metod krupnykh chastits v gazovoi dinamike (The Method of Large Particles in Gas Dynamics), Moscow: Nauka, 1982.
Berezin, Yu.A. and Vshivkov, V.A., Metod chastits v dinamike razrezhennoi plazmy (Particle Method in the Dynamics of a Rarefied Plasma), Novosibirsk: Nauka, 1980.
Dubrov, A.M., Mkhitaryan, V.S., and Troshin, L.I., Mnogomernye statisticheskie metody (Multidimensional Statistical Methods), Moscow: Finansy i Statistika, 1998.
Koronovskii, A.A. and Khramov, A.E., Nepreryvnyi veivletnyi analiz i ego prilozheniya (Continuous Wavelet Analysis and Its Applications), Moscow: Fizmatlit, 2003.
Danielsson, P.-E., Euclidean distance mapping, Comput. Graphics Image Process., 1980, vol. 14, pp. 227–248.
Borgefors, G., Distance transform in digital image, Comput. Vision, Graphics Image Process., 1986, vol. 34, pp. 344–371.
Strand, R., Sparse object representations by digital distance functions, Discrete Geometry for Computer Imagery, Lecture Notes in Computer Science, vol. 6607, Berlin: Springer-Verlag, 2011, pp. 211–222.
Binder, K. and Heermann, D.W., Monte Carlo Simulation in Statistical Physics: An Introduction, Springer Series in Solid-State Sciences, vol. 80, Berlin: Springer-Verlag, 1988.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kantyukov, R.R., Meshalkin, V.P. & Butusov, O.B. A Potential-Integral-Index Algorithm for Analyzing the Pressure Fluctuations of Gas Flows in Complex Pipelines. Theor Found Chem Eng 54, 1229–1234 (2020). https://doi.org/10.1134/S0040579520060056
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0040579520060056