Abstract
This paper presents the need and scientific-methodical approaches to improving the calculation of the closed collector-drainage network of water discharge systems. Based on the application of the system methodology, the structure of the hierarchical and hydraulic connection between the water regime of the field and the operation mode of the closed collector-drainage network has been established. The efficiency of the network is determined by the flow regime in the collector pipe as its main regulating element. As a result of the imperfection of the general theory of turbulent flow and the insufficient scientific explanation of the distribution of averaged velocities in the cross section of the pipe, we proposed improved scientific provisions based on the conducted theoretical and experimental studies. According to existing semi-empirical theories, models based on power and logarithmic profiles were proposed. The logarithmic profile has become widespread, despite the fact that this dependence does not correspond to the boundary conditions on the axis and on the inner surface of the pipes. To provide boundary conditions on the inner surface of the pipe, scientists have developed two-layer and three-layer models, but they also do not meet the boundary conditions along the pipe flow axis. In the theory improved by the authors, we took into account these shortcomings. These provisions, in contrast to the existing semi-empirical theories, describe and explain in formulas the influence of the hydrodynamic structure of the flow in the pressure collector pipe. This will allow, based on the application of the obtained universal equations, to construct a distribution profile of the total turbulent kinematic viscosity and the average flow velocity in the collector pipe. It becomes possible to evaluate the efficiency of the flow movement both in the constituent elements (collector pipes) and in the closed collector-drainage network. It also becomes possible to improve the methods of designing and calculating their technological and design parameters and, thereby, ensure the overall technical, technological, economic, and environmental efficiency of the drainage systems.
Similar content being viewed by others
References
Bar-Mei G (2022) Basics of fluid mechanic. Potto Project Publication, p 769. 10.5281/zenodo.6462400 (ISBN 978-1616100940)
Farahnak-Ghazani M, Mirmohseni M, Nasiri-Kenari M (2021) On molecular flow velocity meters. IEEE Trans Mol Biol Multi-Scale Commun 7(4):224–238. https://doi.org/10.1109/TMBMC.2020.3044772
Giroud J, Palmer B, Dove JE (2000) Calculation of flow velocity in pipes as a function of flow rate. Geosynth Int 7(4–6):583–600. https://doi.org/10.1680/gein.7.0183
Gooch JW (2011) Kinematic viscosity. In: Encyclopedic dictionary of polymers, pp 411–411. https://doi.org/10.1007/978-1-4419-6247-8
Hebbink AJ (1999) Land drainage. In: Environmental geology. Encyclopedia of earth science. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4494-1_196
Herasymov HH, Gerasimov IG, Ivanov SY, Pinchuk OL (2019) Experimental study of the effectiveness of a combined closure of the end gate pipeline valve. Arch Hydroeng Environ Mech 66(1–2):3–13. https://doi.org/10.1515/heem-2019-0001
Kovalenko P, Rokochinskiy A, Mazhayskiy Y, Volk P, Volk L, Chernikova O (2020) Construction and agricultural drainage parameter optimization considering economic and environmental requirements. In: 19th international scientific conference engineering for rural development Jelgava 20.–22.05.2020, pp 1009–1017. https://doi.org/10.22616/ERDev.2020.19.TF237
Khlapuk M, Bezusyak O, Volk L, Zhang Z (2021) Theoretical research of friction factor in hydraulically smooth pipes. In: Second international conference on sustainable futures: environmental, technological, social and economic matters, vol 280, pp 1–6. https://doi.org/10.1051/e3sconf/202128010009
Łabędzki L, Kaca E, Brandyk A (2021) Irrigation and drainage in polish agriculture: state, problems and needs. In: Zeleňáková M, Kubiak-Wójcicka K, Negm AM (eds) Quality of water resources in Poland. Springer water. Springer, Cham. https://doi.org/10.1007/978-3-030-64892-3_5
Malecha Z (2022) Turbulence and fluid mechanics. Energies 15:1116. https://doi.org/10.3390/en15031116
Peiqing L (2021) Experimental fluid mechanics. In: A general theory of fluid mechanics, pp 333–380. https://doi.org/10.1007/978-981-33-6660-2_5(ISBN 978-981-33-6660-2)
Raffel M, Willert C, Wereley S, Kompenhans J (2007) Examples of application. In: Particle image velocimetry. Experimental fluid mechanics. Springer, Berlin, pp 259–388. https://doi.org/10.1007/978-3-540-72308-0_9(ISBN 978-3-540-72308-0)
Rodriguez S, Fathi N, Pourghasemi P (2022) Theoretical approach for the fast estimation of the turbulent kinematic viscosity for internal flows. J Nucl Eng Radiat Sci. https://doi.org/10.1115/1.4054342. (NERS-20-1213)
Rokochinskiy A, Volk P, Frolenkova N, Prykhodko N, Gerasimov IE, Pinchuk O (2019) Evaluation of climate changes and their accounting for developing the reclamation measures in western Ukraine. Sci Rev Eng Environ Sci 28(1):3–13. https://doi.org/10.22630/PNIKS.2019.28.1.1
Rokochynskyi A, Volk P, Turcheniuk V, Tokar L, Volk L, Mazhayskiy Y, Chernikova O (2020) The drainage module is an important factor in the design of drainage systems reconstruction and construction projects in the Polesia region. Eng Rural Dev 19:36–47. https://doi.org/10.22616/ERDev2020.19.TF010
Rubenstein DA, Yin W, Frame MD (2021) Fundamentals of fluid mechanics. In: Biofluid mechanics: an introduction to fluid mechanics, macrocirculation, and microcirculation, pp 17–70. https://doi.org/10.1016/B978-0-12-818034-1.00002-5
Speight JG (2017) Kinematic viscosity. Rules of thumb for petroleum engineers, pp 455–455. https://doi.org/10.1002/9781119403647.ch209
Volk L, Bezusyak O, Volk P (2021) Improving the dimensioning of closed collecting and drainage network of drainage systems. Land Reclam Water Manag 1:98–106. https://doi.org/10.31073/mivg202101-269
Watkiss P (2015) The cost of climate change in Europe. In: Steininger K, König M, Bednar-Friedl B, Kranzl L, Loibl W, Prettenthaler F (eds) Economic evaluation of climate change impacts. Springer climate. Springer, Cham. https://doi.org/10.1007/978-3-319-12457-5_2
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
There is no conflict of interest statement between the manuscript authors. Both authors conducted this study together. There is no conflict of interest with third parties or organizations either for this study.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Volk, L., Rokochynskyi, A., Volk, P. et al. Necessity and ways to improve the calculation of a closed collector-drainage network of drainage systems. Sustain. Water Resour. Manag. 10, 20 (2024). https://doi.org/10.1007/s40899-023-01010-1
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s40899-023-01010-1