Paper Titles
Preface
Influence of pH on the Sorption Capacity of Transcarpathian Bentonite from the Ilnytsky Deposit
p.3
Technological Features of Water Treatment for Printing Companies
p.15
Refined Dependencies for Hydraulic Calculations of Water Supply Pipelines
p.23
Review of Modern Gas Emissions Decarbonization Strategies
p.35
Transforming Cyanobacterial Waste into Effective Organo-Mineral Fertilizers
p.45
Energy and Fertilizer Recovery from Cavitated Cyanobacterial Slurries
p.55
Modeling of Biological Air Purification Systems in Closed Environments
p.65
Ecological Studies of Hydrochemical Characteristics of Wastewater from Rock Dumps
p.77

Refined Dependencies for Hydraulic Calculations of Water Supply Pipelines

Article Preview

Abstract:

The results of a theoretical analysis of the hydraulic regularities of turbulent flows in water supply pipelines with different roughness levels of the inner surface walls are presented. Based on this analysis, refined analytical dependencies were obtained for the distribution of averaged local velocities across the pipeline cross-section, hydraulic friction coefficients, and the ratio of the mean flow velocity to the maximum. It was established that the determining parameter of these dependencies is the relative hydraulic thickness of the boundary layer, which depends on the type and magnitude of the internal surface roughness of the pipeline and the Reynolds number. The validity of the proposed dependencies is confirmed by their correspondence with reliable experimental data obtained in specialized laboratories and with well-known classical dependencies of the semi-empirical theory of turbulent flows in pipelines. Compared to existing models, the refined dependencies are expressed in explicit form, more accurately meet the boundary conditions of turbulent flow, and do not complicate practical calculations. Based on experimental data for hydraulically smooth and rough pipes of various types, numerical parameter values for the proposed formulas were determined.

You might also be interested in these eBooks
VI International Scientific-Technical Conference "Water Supply and Wastewater Disposal: Designing, Construction, Operation and Monitoring" (WSWR) View Preview

Info:

Periodical:

Advances in Science and Technology (Volume 174)

Pages:

23-31

DOI:

https://doi.org/10.4028/p-8zmRpM

Citation:

Cite this paper

Online since:

April 2026

Authors:

Oleksandr Tkachuk*, Mykola Kizieiev, Olha Shevchuk

Keywords:

Hydraulic Calculations, Pipelines, Semi-Empirical Theory of Turbulence, Water Supply Networks

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

© 2026 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

References

[1] Arifjanov A., Rakhimov Q., Samiev L., Abduraimova D., Apakhodjaeva T. (2020) Hydraulic Friction Coefficient at Hydraulic Mixing Movement in Pressure Pipelines. Jour of Adv Research in Dynamical & Control Systems, Vol. 12, 07-Special Issue. Р. 1332-1336.

DOI: 10.5373/jardcs/v12sp7/20202233

Google Scholar

[2] Brki´c, D. (2024) Revised Friction Groups for Evaluating Hydraulic Parameters: Pressure Drop, Flow, and Diameter Estimation. J. Mar. Sci. Eng., 12, 1663. https://www.mdpi.com/2077-1312/12/9/1663

DOI: 10.3390/jmse12091663

Google Scholar

[3] Choo Y.-M.; Kim  J.-G.; Park S.-H. (2021) A Study on the Friction Factor and Reynolds Number Relationship for Flow in Smooth and Rough Channels. Water 2021, 13, 1714

DOI: 10.3390/w13121714

Google Scholar

[4] Fiorillo F.; Esposito L.; Ginolfi M.; Leone G. (2024) New Insights into Turbulent and Laminar Flow Relationships Using Darcy–Weisbach and Poiseuille Laws. Water, 16, 1452. https://www.mdpi.com/2073-4441/16/10/1452

DOI: 10.3390/w16101452

Google Scholar

[5] Guseinova E., Mukhamadeev E., Gilmanova A., Filimonov O., Galiullina I. (2024). Determination of the coefficient of hydraulic friction and factors reducing the value of hydraulic resistance along the length. E3S Web of Conferences 524. https://doi.org/10.1051/e3sconf/202452403035 APEC-VII-2024.

DOI: 10.1051/e3sconf/202452403035

Google Scholar

[6] Mishra R.; Ojha C.S.P. (2023) Application of AI-based techniques on Moody's diagram for predicting friction factor in pipe flow. J, 6, 544–563. https://www.mdpi.com/2571-8800/6/4/36

DOI: 10.3390/j6040036

Google Scholar

[7] Muzzo L. E., Matoba G. K., Ribeiro L. F. (2021) Uncertainty of pipe flow friction factor equations, Mechanics Research Communications, Volume 116, 103764. https://www.sciencedirect.com/science/article/pii/S0093641321001026?via%3Dihub

DOI: 10.1016/j.mechrescom.2021.103764

Google Scholar

[8] Nikuradse, J. (1932) Gesetzma Bigkeiten der Turbulenten Stromung in Glatten Rohren . Р. 36. [in German].

Google Scholar

[9] Nikuradse, J. (1933) Translation of "Stromungsgesetze in rauhen Rohren." VDI-Forschungsheft 361. Beilage zu "Forschung auf dem Gebiete des Ingenieurwesens" Ausgabe B Band 4, July/August 1933. Р. 62.

DOI: 10.1007/bf02716946

Google Scholar

[10] Oleksandr A. Tkachuk, Ievgenii G. Gerasimov, Olha V. Shevchuk. (2023) Theoretical Aspects of Turbulent Flows in Pipeline. Archives of Hydro-Engineering and Environmental Mechanics 70, p.141–157. https://sciendo.com/article/

DOI: 10.2478/heem-2023-0010

Google Scholar

[11] Pysʹmennyj Je.M. (2021) Teorija turbulentnosti– Kyiv : KPI im. Ihorja Sikorsʹkoho. – 127 s. [in Ukrainian]. https://ela.kpi.ua/handle/123456789/45466

Google Scholar

[12] Rakhimov K., Melikuziyev S., Sultanov R. (2023) Coefficient of hydraulic friction of plastic pipes. E3S Web of Conferences 401, 01042 (2023) CONMECHYDRO. https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/38/e3sconf_conmechydro23_01042.pdf

DOI: 10.1051/e3sconf/202340101042

Google Scholar

[13] Tkačuk, O. (2025). Vplyv parametriv prykordonnoho šaru na hidravlični opory v truboprovodach. Problemy vodopostačannja, vodovidvedennja ta hidravliky, (49), s. 74–84. [in Ukrainian]. http://wateruse.org.ua/article/view/325304

Google Scholar

[14] Tkačuk O. A., Ševčuk O. V. (2023) Do rozrobky hidravličnych zakoniv turbulentnych tečij u truboprovodach. Naukovo-techničnyj zbirnyk. Problemy vodopostačannja, vodovidvedennja ta hidravliky. Kyyiv, KNUBA. Vypusk 42. s. 71 – 83. [in Ukrainian]. http://wateruse.org.ua/article/view/277160

Google Scholar

[15] Tu Y. P., Lin H. T., Ye R. H. (2025) Experimental study of fully developed turbulent flow in internally finned tubes. - Journal of Advanced Heat Transfer. Volume 32, Issue 2, pp.1-26. https://www.dl.begellhouse.com/journals/4c8f5faa331b09ea,44f2ec90270e8d7f,4c8b47eb7945fe89.html

DOI: 10.1615/jenhheattransf.2024053199

Google Scholar

[16] Savchenko, A. (2024). Green building standards and their implementation in Ukraine. Journal Environmental Problems, 9(3), 187–192

DOI: 10.23939/ep2024.03.187

Google Scholar

[17] Ševelev F. A. (1953) Yssledovanye osnovnykh hydravlyčeskych zakonomernostej turbulentnoho dvyženyja v trubach. M. : Strojyzdat, 208 s. [in Russian].

Google Scholar

[18] Stepova, O., Shara, S. (2024). Development of water protection in European countries: relevance for Ukraine. Journal Environmental Problems, 9(4), 249–253

DOI: 10.23939/ep2024.04.249

Google Scholar

[19] Valerko, R., Herasymchuk, L., Patseva, I., Gnatuk, B. (2024).Assessment of the ecological state of rural settlements by indicators of drinking water quality in the context of sustainable development. Journal Environmental Problems, 9(1), 28–34

DOI: 10.23939/ep2024.01.028

Google Scholar