Semenenko Ye., Medvedieva O., Ryzhova S., Koval N., Khaminich О., Zhanakova R. Сalculation of the flow rate of the hydraulic mixture of the hydraulic transport complex by analytical method
- Details
- Parent Category: Geo-Technical Mechanics, 2025
- Category: Geo-Technical Mechanics, 2025, Issue 172
Geoteсh. meh. 2025, 172, 114-129
CALCULATION OF THE FLOW RATE OF THE HYDRAULIC MIXTURE OF THE HYDRAULIC TRANSPORT COMPLEX BY ANALYTICAL METHOD
1Ryzhova S. 
1M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine
2Oles Honchar Dnipro National University
3Satbaev University
UDC [620.9:622.012.2:371.61].001.24:622.012
Language: English
Abstract. The article proposes a multiplicative formula for calculating the analytical flow rate of a hydraulic transport complex, taking into account the parameters of the pipeline and centrifugal pumps used, as well as the characteristics of the polydisperse solid material being transported. The formula involves the use of a power law instead of a logarithmic law to describe the dependence of the hydraulic resistance coefficient on the Reynolds number, and the approximation of the flow-pressure characteristics of centrifugal pumps by a special power function instead of the traditional quadratic binomial. The multiplicity of the proposed formula lies in the fact that the flow rate of the hydraulic mixture of the hydraulic transport complex is determined by the product of three factors, one dimensional and two dimensionless, each of which takes into account the influence of a separate group of factors. The characteristic flow rate is a single dimensional factor and takes into account the influence of the pipeline diameter and the kinematic viscosity coefficient of the hydraulic mixture. The polydispersity parameter of the transported material is a dimensionless quantity that takes into account the influence of the geodetic slope of the pipeline and the parameters of fine fractions, i.e., particles with a size of 0.1 mm to 2 mm, and lump fractions, i.e., particles with a size greater than 2 mm. The pump parameter, is also a dimensionless quantity and is determined by the concentration of the hydraulic mixture, the properties of the solid phase and its fine fractions, i.e., particles with a size of less than 0.1 mm, as well as the approximation coefficients of the flow-pressure characteristics of the installed centrifugal pumps. The formula allows one to study the dependence of the flow rate of the hydraulic mixture of the hydraulic transport complex on various values by analytical methods, for example, to determine the extrema of the function by comparing its derivatives with zero, or to determine the permissible intervals of change of the parameters included in the formula by limiting the flow rate of the hydraulic mixture.
Keywords: pressure hydraulic transport, flow-pressure characteristic, centrifugal pump, hydraulic mixture, flow rate
REFERENCES
1. Semenenko, E (2011), Nauchnyyeosnovytekhnologiygidromekhanizatsiiotkrytoyrazrabotkititan-tsirkonovykhrossypey[Scientific foundations of hydromechanization technologies for open-pit mining of titanium-zircon placers], Naukova dumka, Kyiv, Ukraine.
2. Bulat, A.F., Vytushko, O.V. and Semenenko, E.V. (2010), Modeli elementov gidrotekhnicheskikh sistem gornykh predpriyatiy: Monografiya. ÍGTM NAN Ukraí̈ny [Models of elements of hydraulic engineering systems of mining enterprises: Monograph. IGTM NAS of Ukraine], Gerda, Dnipropetrovsk, Ukraine.
3. Medvedieva, О.О. (2021), Development of scientific foundations of resource-saving technologies for hydromechanized development of technogenic deposits, Abstract of D.Sc. dissertation, Underground mining, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine, Dnipro, Ukraine.
4. Dziuba, S.V. (2021), Development of scientific foundations of logistics in hydraulic systems of mining enterprises, Abstract of D.Sc. Thesis, Underground mining, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine, Dnipro, Ukraine.
5. Ukrainian Geological Survey (2024), “Ukraine's Critical Raw Materials Portfolio”, available at: https://www.geo.gov.ua/wp-content/uploads/presentations/ukr/critical-minerals-portfolio-ua.pdf (Accessed 17 January 2025).
6. Medvedieva, O., Semenenko, Y., Blyuss, B. and Skosyriev, V. (2022), “Justification of the hydro-mechanical systems operating modes, used for restoring accumulation capacity of tailings storages”, IOP Conference Series: Earth and Environmental Science, vol. 970(1), pp. 012043–012043, https://doi.org/10.1088/1755-1315/970/1/012043
7. Babii, K., Chetveryk, M., Perehudov, V., Kovalov, K., Kiriia, R., and Pshenychnyi, V. (2022), “Features of using equipment for in-pit crushing and conveying technology on the open pit walls with complex structure”, Mining of Mineral Deposits, vol. 16(4), pp. 96–102, https://doi.org/10.33271/mining16.04.096
8. Bubnova, O.A. (2019), “Prediction of changes in the state of the geological environment in the mining region”, E3S Web of Conference, International Conference Essays of Mining Science and Practice, vol. 109, p. 00009, https://doi.org/10.1051/e3sconf/201910900009
9. Baranov, Yu.D., Bluss, B.A., Semenenko, E.V. and Shurygin, V.D. (2006), Obosnovaniye parametrov i rezhimov raboty sistem gidrotransporta gornykh predpriyatiy[Justification of the parameters and operating modes of hydraulic transport systems of mining enterprises], Novaya ideologiya, Dnipropetrovsk, Ukraine.
10. Gumenik, I.L., Sokil, A.M., Semenenko, E.V. and Shurygin, V.D. (2001), Problemy razrabotki rossypnykh mestorozhdeniy, [Problems of development of placer deposits], Sich, Dnipropetrovsk, Ukraine.
11. Makharadze, L.I., Gochitashvili, T.Sh., Kril, S.I. and Smoylovskaya, L.A. (2006), Truboprovodnyy gidrotransport tverdykh materialov [Pipeline hydraulic transport of solid materials], Metsniereba, Tbilisi, Georgia.
12. Biletskyi, V., Oliinyk, T., Pysmennyi, S., Skliar, L., Fedorenko, S. and Chukharev, S. (2024), “Experimental studies of the joint process “hydrotransport – oil agglomeration of coal”, Mining of Mineral Deposits, vol. 18, issue 4, pp. 71-79.
13. Jaworska-Jóźwiak, Beata and Szymczyk, Bartłomiej (2024), “Analysis of energy consumption and cost savings in the process of transporting a hydromixture with the addition of a deflocculant”, Advances in Science and Technology Research Journal, vol. 19(1), pp. 36–47, https://doi.org/10.12913/22998624/193613
14. Semenenko, E., Nykyforova, N. and Tatarko, L. (2015), “An imporoved procedure of hydrotransport parameters’ calculation for flows in polyethylene pipes and with friction reducing agents”, 17th International Conference on Transport and Sedementation of solid paticles, Delft, Netherlands, 22-25 September 2015, pp. 300–308.
15. Goosen, P., Ilgner, H. and Dumbu, S. (2011), “Settlement in backfill pipelines: its causes and a novel online detection method”, International Conference on Mining with Backfill, The Southern African Institute of Mining and Metallurgy, pp. 187-196, available at: https://www.patersoncooke.com/wp-content/uploads/Goosen_Ilgner_Dumbu.pdf (Accessed 17 April 2025).
16. Mahdi, V. and Amit, K., (2015), “Pipeline hydraulic transport of biomass materials: a review of experimental programs, empirical correlations, and economic assessments”, Biomass and Bioenergy, vol. 81, pp. 70-82, https://doi.org/10.1016/j.biombioe.2015.06.001
17. Jaworska-Jóźwiak, B. and Dziubiński, M. (2022), “Effect of Deflocculant Addition on Energy Savings in Hydrotransport in the Lime Production Process”, Energies, vol. 15(11), p. 3869, https://doi.org/10.3390/en15113869
18. Shurygin, V.D. and Semenenko, E.V. (2007), “Wear of polyethylene pipes during hydraulic transport of initial sands of the Malyshevskoye deposit“, Naukovo-tekhnіchnii ta virobnichii zhurnal Metalurgіina ta gіrnichorudna promislovіst, vol. 6, pp. 90–93.
19. Semenenko, E., Nykyforova, N. and Tatarko, L. (2014), “The method of hydraulic gradient and critical velocity calculation for hydrotransportation of particles with substantially different densities”, 15th International Freight Pipeline Society Symposium, 24-27 June 2014, Prague, Czech Republic, pp. 248 – 256.
20. Semenenko, E., Nykyforova, N. and Tatarko, L. (2015), “The features of calculations of hydrotransport plans of geotechnological systems” in Pivnyak, G., Bondarenko, V. and Kovalevska, I. (eds.), Taylor & Francis Group, London, pp. 397-401. https://doi.org/10.1201/b19901-69
21. Naveh, R., Tripathi, Mani Naveen and Kalman, H. (2017), “Experimental pressure drop analysis for horizontal dilute phase particle-fluid flows”, Powder Technology, vol.321, pp. 355–368. http://dx.doi.org/10.1016/j.powtec.2017.08.029
22. Zagirnyak, M., Korenkova, T., Serdiuk, O., Kravets, O.i and Kovalchuk, V. (2019), The Control of the Pumping Complex Electric Drive in Non-Steady Operation States, Electrical Engineering Developments, Nova Science Publishers, New York, USA.
23. Blyuss, B., Semenenko, Y., Medvedieva, O., Kyrychko, S. and Karatayev, A. (2020), “Parameters determination of hydromechanization technologies for the dumps development as technogenic deposits”, Mining of Mineral Deposits, 14(1), pp.51‑61. doi: https://doi.org/10.33271/mining14.01.051
24. Achour, B. and Amara, L. (2020), “New formulation of the darcy-weisbach friction factor nouvelle formulation du coefficient de frottement de darcy-weisbach”, Larhyss Journal, no. 43, pp. 13-22.
25. Salmanova, G., Musa, A. and Reyhan, S. (2024), “Issue of flow discharge in motion of multiphase fluid with hydraulic resistance”, International Journal on Technical and Physical Problems of Engineering, vol. 16, issue 1, pp. 247–252.
About the authors:
Semenenko Yevhen, Doctor of Technical Sciences (D.Sc), Senior Researcher, Head of Department of Mine Energy Complexes, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine,
This email address is being protected from spambots. You need JavaScript enabled to view it.
Medvedieva Olha, Doctor of Technical Sciences (D. Sc.), Senior Researcher, Senior Researcher, Department of Ecology of Natural Resources Development, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine,
This email address is being protected from spambots. You need JavaScript enabled to view it.
(Corresponding author)
Koval Nataliya, Junior Researcher, Department of ecology of natural resources development, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine,
This email address is being protected from spambots. You need JavaScript enabled to view it.
Ryzhova Svitlana, engineer of the I category, Department of ecology of natural resources development, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. , ORCID 0009-0005-0965-9666
Khamіnіch Оleksandr, Candidate of Technical Sciences (Ph.D.), Associate Professor, Oles Honchar Dnipro National University (DNU) under the Ministry of Education and Science of Ukraine, Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.
Raissa Zhanakova, PhD, Associate Professor of the Mining Department, Satbaev University, Almaty, Kazakhstan; e-mail:r.zhanakova@satbayev.university