Researching the impact of operational parameters on the performance of energy pipeline systems
Synopsis
Under the current conditions of European energy sector transformation and critical challenges to Ukraine’s energy security, pipeline transport must be regarded as an integral and strategic component of the overall power system. Any disruption in pipeline operations directly affects the system's power balance, leading to economic losses and environmental risks. The efficiency of the energy system depends largely on the technical condition of the infrastructure, where even minor through-wall defects and micro-leaks lead to energy losses due to disrupted flow structure and the formation of turbulence zones.
The object of study is the flow of hydrocarbons in pipelines with compromised integrity and altered cross-sectional geometry. This work employs mathematical modeling methods based on the Navier-Stokes equations. To solve the problem, numerical integration was applied using the alternating direction implicit method and iterative procedures for the Poisson equation, enabling the simulation of the velocity field. The study established that the presence of micro-defects triggers a significant reconfiguration of the velocity profile even before a pressure drop is detected by standard instrumentation.
The results obtained enable the improvement of early diagnostic systems for pipeline segments of the energy grid. The proposed refined model for incorporating gas-quality indicators at gas distribution stations enables tangible fuel savings. Implementing these findings will enhance overall energy efficiency and reduce operational costs within the integrated power system – a factor that is critical amidst energy resource deficits.
References
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ybitskyi, I. V., Oliynyk, A. P., Yavorskyi, A. V., Karpash, M. O., Tsykh, V. S., Slobodyan, M. B. (2019). Impact Assessment of Non-Technological Fluid Accumulations in the Cavity of an Existing Gas Pipeline on the Energy Efficiency of Its Operation. Physics and Chemistry of Solid State, 20 (4), 457–466. https://doi.org/10.15330/pcss.20.4.457-466
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Rahmani, H., Taghavi, S. M. (2020). Linear stability of plane Poiseuille flow of a Bingham fluid in a channel with the presence of wall slip. Journal of Non-Newtonian Fluid Mechanics, 282, 104316. https://doi.org/10.1016/j.jnnfm.2020.104316
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Oliynyk, A. P., Feshanych, L. I., Grygorchuk, G. V. (2022). Mathematical modelling of the process of pipeline deformation through which gas-liquid mixtures with aggressive components are transported. Journal of Achievements in Materials and Manufacturing Engineering, 111 (2), 57–63. https://doi.org/10.5604/01.3001.0015.9995
Tropea, C., Yarin, A. L., Foss, J. F. (Eds.). (2007). Springer Handbook of Experimental Fluid Mechanics. Springer. https://doi.org/10.1007/978-3-540-30299-5
Ríos-Mercado, R. Z., Borraz-Sánchez, C. (2015). Optimization problems in natural gas transportation systems: A state-of-the-art review. Applied Energy, 147, 536–555. https://doi.org/10.1016/j.apenergy.2015.03.017
Kosinski, A. A. (2001). Cramer’s Rule Is Due To Cramer. Mathematics Magazine, 74 (4), 310–312. https://doi.org/10.1080/0025570x.2001.11953081
Kirby, B. J. (2012). Micro- and Nanoscale Fluid Mechanics. New York: Cambridge University Press. https://doi.org/10.1017/cbo9780511760723
Rybitskyi I. V., Yavorskyi A. V., Banahevych R. Yu. (2011). Stationary system of measuring the liquid level in the cavities of the existing gas pipeline. NDT Days 2011, 1 (121), 93–95.
SOU 60.3-30019801-100:2012. Haz pryrodnyi horiuchyi. Vyznachennia obsiahiv vytrat pryrodnoho hazu na vyrobnycho-tekhnolohichni potreby pid chas yoho transportuvannia hazotransportnoiu systemoiu ta ekspluatatsii pidzemnykh skhovyshch hazu. Poriadok rozrakhunku (2012). DK «Ukrtranshaz». Available at: https://online.budstandart.com/ua/catalog/doc-page.html?id_doc=65493
ISO 6974-1:2000. Natural gas – Determination of composition with defined uncertainty by gas chromatography. Available at: https://www.iso.org/standard/23702.html
Where does Ukraine get its energy? (2023). International Energy Agency. Available at: https://www.iea.org/countries/ukraine/energy-mix
ENTSO-E’s 10-year network development plan (TYNDP). ENTSO-E. Available at: https://tyndp.entsoe.eu/about
Onyechi, V. N. (2021). Pipeline integrity and risk prevention: Real-time monitoring, structural health analytics, and failure mitigation in harsh operating environments. Magna Scientia Advanced Research and Reviews, 3 (2), 139–151. https://doi.org/10.30574/msarr.2021.3.2.0093
EU Directive 2018/2002 on energy efficiency (2025). International Energy Agency. Available at: https://www.iea.org/policies/13353-eu-directive-20182002-on-energy-efficiency
Annual Implementation Report (2022). Energy Community Secretariat. Available at: https://www.energy-community.org/dam/jcr:3706068e-9a3d-47d5-ae22-f7af0bbd1097/EnC_IR2022.pdf
Nakabayashi, K., Kitoh, O., Katoh, Y. (2004). Similarity laws of velocity profiles and turbulence characteristics of Couette–Poiseuille turbulent flows. Journal of Fluid Mechanics, 507, 43–69. https://doi.org/10.1017/s0022112004008110
Volovetskyi, V. B., Doroshenko, Y., Kogut, G., Dzhus, A. P., Rybitskyi, I. V., Doroshenko, J. I. et al. (2021). Investigation of gas gathering pipelines operation efficiency and selection of improvement methods. Journal of Achievements in Materials and Manufacturing Engineering, 2 (107), 75–86. https://doi.org/10.5604/01.3001.0015.3585
Doroshenko, Y., Rybitskyi, I. (2020). Investigation of the influence of the gas pipeline tee geometry on hydraulic energy loss of gas pipeline systems. Eastern-European Journal of Enterprise Technologies, 1 (8 (103)), 28–34. https://doi.org/10.15587/1729-4061.2020.192828
ybitskyi, I. V., Oliynyk, A. P., Yavorskyi, A. V., Karpash, M. O., Tsykh, V. S., Slobodyan, M. B. (2019). Impact Assessment of Non-Technological Fluid Accumulations in the Cavity of an Existing Gas Pipeline on the Energy Efficiency of Its Operation. Physics and Chemistry of Solid State, 20 (4), 457–466. https://doi.org/10.15330/pcss.20.4.457-466
Datta, S. S., Ardekani, A. M., Arratia, P. E., Beris, A. N., Bischofberger, I., McKinley, G. H. et al. (2022). Perspectives on viscoelastic flow instabilities and elastic turbulence. Physical Review Fluids, 7 (8). https://doi.org/10.1103/physrevfluids.7.080701
Rahmani, H., Taghavi, S. M. (2020). Linear stability of plane Poiseuille flow of a Bingham fluid in a channel with the presence of wall slip. Journal of Non-Newtonian Fluid Mechanics, 282, 104316. https://doi.org/10.1016/j.jnnfm.2020.104316
Cubuk, E. D., Schoenholz, S. S., Kaxiras, E., Liu, A. J. (2016). Structural Properties of Defects in Glassy Liquids. The Journal of Physical Chemistry B, 120 (26), 6139–6146. https://doi.org/10.1021/acs.jpcb.6b02144
White, F.M., Majdalani, J. (2021). Viscous Fluid Flow. McGraw Hill, 860. Available at: https://www.scribd.com/document/1014150060/eBook-PDF-Viscous-Fluid-Flow-4th-Edition
Anderson, D. A., Tannehill, J. C., Pletcher, R. H., Ramakanth, M., Shankar, V. (2020). Computational Fluid Mechanics and Heat Transfer. CRC Press, 974. https://doi.org/10.1201/9781351124027
Bennequin, D., Gander, M. J., Gouarin, L., Halpern, L. (2016). Optimized Schwarz waveform relaxation for advection reaction diffusion equations in two dimensions. Numerische Mathematik, 134 (3), 513–567. https://doi.org/10.1007/s00211-015-0784-8
Oliynyk, A. P., Feshanych, L. I., Grygorchuk, G. V. (2022). Mathematical modelling of the process of pipeline deformation through which gas-liquid mixtures with aggressive components are transported. Journal of Achievements in Materials and Manufacturing Engineering, 111 (2), 57–63. https://doi.org/10.5604/01.3001.0015.9995
Tropea, C., Yarin, A. L., Foss, J. F. (Eds.). (2007). Springer Handbook of Experimental Fluid Mechanics. Springer. https://doi.org/10.1007/978-3-540-30299-5
Ríos-Mercado, R. Z., Borraz-Sánchez, C. (2015). Optimization problems in natural gas transportation systems: A state-of-the-art review. Applied Energy, 147, 536–555. https://doi.org/10.1016/j.apenergy.2015.03.017
Kosinski, A. A. (2001). Cramer’s Rule Is Due To Cramer. Mathematics Magazine, 74 (4), 310–312. https://doi.org/10.1080/0025570x.2001.11953081
Kirby, B. J. (2012). Micro- and Nanoscale Fluid Mechanics. New York: Cambridge University Press. https://doi.org/10.1017/cbo9780511760723
Rybitskyi I. V., Yavorskyi A. V., Banahevych R. Yu. (2011). Stationary system of measuring the liquid level in the cavities of the existing gas pipeline. NDT Days 2011, 1 (121), 93–95.
SOU 60.3-30019801-100:2012. Haz pryrodnyi horiuchyi. Vyznachennia obsiahiv vytrat pryrodnoho hazu na vyrobnycho-tekhnolohichni potreby pid chas yoho transportuvannia hazotransportnoiu systemoiu ta ekspluatatsii pidzemnykh skhovyshch hazu. Poriadok rozrakhunku (2012). DK «Ukrtranshaz». Available at: https://online.budstandart.com/ua/catalog/doc-page.html?id_doc=65493
ISO 6974-1:2000. Natural gas – Determination of composition with defined uncertainty by gas chromatography. Available at: https://www.iso.org/standard/23702.html
Text Identifier of this Chapter
Chapter 3
Published
December 12, 2025
Categories
Copyright (c) 2026 Ihor Rybitskiy, Oleg Karpash, Serhii Voitenko, Maksym Karpash, Liubomyr Zhovtulia, Oleksandr Koval
How to Cite
Rybitskiy, I., Karpash, O., Voitenko, S., Karpash, M., Zhovtulia, L., & Koval, O. (2025). Researching the impact of operational parameters on the performance of energy pipeline systems. In D. Kulagin, I. Maslov, I. Rybitskiy, O. Karpash, S. Voitenko, L. Zhovtulia, O. Koval, & M. Karpash, In Press. Energy engineering and power technology. Scientific Route OÜ®. https://monograph.route.ee/rout/catalog/book/energy_engineering_and_power_technology/chapter/152
