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Technology, energy, agriculture transport AIC

space SCIENTIFIC JOURNALS OF VINNITSA NATIONAL AGRARIAN UNIVERSITY

Issue №: 1 (132)

Published: 2026.04.17
DOI: 10.37128/2520-6168-2026-1


Description:
The journal presents the results of scientific research and addresses current issues in the development and improvement of agricultural equipment and technologies, particularly in the design, production, and operation of machines and technical systems in the agro-industrial complex, including aspects of their efficient functioning.

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HYDRAULIC ANALYSIS OF SEQUENTIAL WATER WITHDRAWAL FROM A MAIN PIPELINE

DOI: 10.37128/2520-6168-2026-1-9
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Oleksandr KLETSKOV – Senior Lecturer of the Department of Higher Mathematics, Physics and General Engineering Disciplines, Dnipro State Agrarian and Economic University, Ukraine (Dnipro, Serhiy Efremov St., 25, e-mail: alex.kl87@i.ua, https://orcid.org/0000-0003-2587-4647).

Vyacheslav SAKHNO – Candidate of Physical and Mathematical Sciences, Associate Professor of the Department of Higher Mathematics, Physics and General Engineering Disciplines, Dnipro State Agrarian and Economic University, Ukraine (Dnipro, Serhiy Efremov St., 25, e-mail: sakhno.v.n@dsau.dp.ua, https://orcid.org/0000-0002-2314-4547).

Iryna SHCHERBYNA – Candidate of Physical and Mathematical Sciences, Associate Professor of the Department of Higher Mathematics, Physics and General Engineering Disciplines, Dnipro State Agrarian and Economic University, Ukraine (Dnipro, Serhiy Efremov St., 25,e-mail:shcherbyna.i.v@dsau.dp.ua, https://orcid.org/0000-0003-3968-4326).

Nina DIACHENKO – Senior Lecturer of the Department of Higher Mathematics, Physics and General Engineering Disciplines, Dnipro State Agrarian and Economic University, Ukraine (Dnipro, Serhiy Efremov St., 25, e-mail: dnk_dp@icloud.com, https://orcid.org/0000-0002-8506-9204).

Annotation

The article presents a detailed step-by-step analytical method for the hydraulic calculation of systems with sequential water withdrawal from a main pipeline through a network of lateral branches. Particular attention is given to the important problem of non-uniform pressure and flow rate distribution among consumers, which arises due to the gradual accumulation of hydraulic losses along the length of the main pipeline. This effect is especially pronounced in long linear water supply and irrigation systems, where remote consumers receive significantly lower water flow rates compared to those located closer to the supply source.
The proposed method is based on the classical Darcy–Weisbach equation for determining frictional pressure losses in pipes, as well as on the empirical Altshul formula for accounting for local resistances and transitional flow regimes. 
To verify the analytical model, it was compared with the results of numerical simulations performed in the Ansys Fluent software package, where the finite volume method with a detailed three-dimensional computational mesh was applied. The obtained average discrepancy between the analytical and numerical values of flow rates and pressures was 5–7%, which confirms the sufficient accuracy of the developed simplified model for engineering practice.
In addition to the basic calculation procedure, the study proposes a practical method for system optimization. It consists of the purposeful variation of the diameters of lateral branches in order to compensate hydraulic losses and achieve the maximum possible uniformity of water withdrawal. 
The obtained results have important practical significance. They provide design engineers with a reliable tool for the justified calculation and modernization of drinking water supply networks, agricultural irrigation systems, and technical water pipelines, allowing a significant reduction in the risk of water shortage for remote consumers, decreasing failure rates, and improving the overall energy efficiency of the system.

Keywords: numerical modeling, finite element method, hydraulic calculation, water supply optimization, Darcy–Weisbach equation, irrigation network.

List of references

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8.    Tkachuk, A. V., Shynkarenko, I. Yu., & Makarov, A. V. (2025). Throttle control in closed irrigation networks: calculation of pressure increase. Municipal Economy of Cities, 3(191), 472–478. https://doi.org/10.33042/2522-1809-2025-3-191-472-478[in English].
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The magazine "Engineering, Energy, Transport AIC" is included in the list of scientific professional editions of Ukraine on technical sciences

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According to the decision of National Council of Television and Radio Broadcasting of Ukraine from 25.04.2024 No. 1337 the scientific journal «Engineering, Energy, Transport AIC» has the ID of the Media R30-05173.

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Key information:
ISSN (print): 2520-6168
DOI: 10.37128/2520-6168

Certificate of state registration of mass media: No. 21906-11806 P dated 03/12/2016.

Founder of the journal: Vinnytsia National Agrarian University

Type of publication: journal

Kind of publication: scientific

Publication status: domestic

Year of foundation: 1997

Periodicity: 4 times per year

Volume: 18-20 conv. print. sheet (А4)

ISSN: 2520-6168 (print version), (online version)

Language of publication: (mixed languages) Ukrainian, English

The sphere of distribution and category of readers: national, foreign, faculty, scientists, entrepreneurs.

The periodical edition is included to the List of scientific professional publications of Ukraine on technical sciences, approved by order of the Ministry of Education and Science of Ukraine in 05.16.2016, No. 515.

The journal "Engineering, Energy, Transport AIC" is included in the "Catalog of Ukrainian Publications".

Subscription to the journal can be issued in each post office. The subscription index is 99720.

History of journal:

Technology, energy, agriculture transport AIC is a scholarly professional journal with a long-standing history and stable academic tradition, reflecting the evolution of engineering and technical sciences within the agro-industrial sector of Ukraine.

The journal was founded in 1997 under the title Bulletin of Vinnytsia State Agricultural Institute. According to the Resolution of the Presidium of the Higher Attestation Commission of Ukraine dated September 11, 1997, the publication obtained the status of a professional scientific journal, which enabled the publication of the main results of doctoral and candidate dissertations in technical sciences. From its inception, the journal positioned itself as an academic platform for addressing current issues of mechanization, electrification, and technical support of agricultural production.

During 2001–2014, the journal was published under the title Proceedings of Vinnytsia National Agrarian University. Series: Technical Sciences (State Registration Certificate of Print Media KV No. 16644-5116 PR dated April 30, 2010). Throughout this period, a systematic approach to the selection and peer review of scientific manuscripts was established, the thematic scope of publications was expanded, and continuity of scientific directions as well as the development of sectoral engineering schools was ensured.

Since 2015, the journal has been published under its current title, Technology, energy, agriculture transport AIC (State Registration Certificate No. 21906-11806 R dated March 12, 2016). The change of title reflected the expansion of the journal’s thematic coverage and its orientation toward interdisciplinary research in mechanical engineering, energy systems, electrical engineering, transport technologies, automation, and digital solutions for the agro-industrial complex.

The journal consistently adheres to the principles of open science. All published materials are distributed under the Creative Commons Attribution 4.0 International License (CC BY 4.0), ensuring open access to research results provided proper attribution to the authors and the original publication is maintained.

At present, Technology, energy, agriculture transport AIC is an authoritative professional scientific journal (Category B), providing a platform for the publication of fundamental and applied research results, promoting the integration of education, science, and industry, and contributing to the advancement of engineering and technological support of the agro-industrial complex of Ukraine.