Progress in analytical modeling of water hammer

Urbanowicz, Kamil (author), Jing, Haixiao (author), Bergant, Anton (author), Stosiak, Michal (author), Lubecki, Marek (author)

Analytical formulas for laminar water hammer in horizontal pipes were extended and simplified into a compact mathematical form based on dimensionless parameters: dimensionless time, water hammer number, etc. Detailed treatment of turbulent water hammer analytical solutions is beyond the scope of this paper. In the Muto and Takahashi solution, novel Laplace and time domain formulas for flow velocity and wall shear stress were developed. A series of comparative studies of unified analytical solutions with numerical solutions and the results of measurements were carried out. The study shows that models that account for the frequency-dependent nature of hydraulic resistance agree very well with experimental results over a wide range of water hammer numbers Wh, particularly when Wh ≤ 0.1.

• Language: English
• Keywords: reservoir-horizontal pipeline-valve system, water hammer, transient laminar flow, analytical solution, frictionless system, quasi-steady friction, unsteady skin friction
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Year: 2023
• Number of pages: 12 str.
• Numbering: Vol. 145, iss. 8, art. 081203, FE-23-1030
• PID: 20.500.12556/RUL-146405
• UDC: 621.22
• ISSN on article: 0098-2202
• DOI: 10.1115/1.4062290
• COBISS.SI-ID: 153453571
• Publication date in RUL: 31.05.2023

Record is a part of a journal

• Title: Journal of fluids engineering. Transactions of the ASME
• Shortened title: J. fluids eng.
• Publisher: American Society of Mechanical Engineers
• ISSN: 0098-2202
• COBISS.SI-ID: 6887941

Secondary language

• Language: Slovenian
• Keywords: sistem rezervoar-horizontalni cevovod-ventil, vodni udar, prehodni laminarni tok, analitična rešitev, idealni sistem, ustaljeno stensko trenje, nestalno stensko trenje

Projects

• Funder: ARRS - Slovenian Research Agency
• Project number: L2-1825
• Name: Modeliranje zračnih mehurjev ujetih v hidravličnih cevnih sistemih

• Funder: ARRS - Slovenian Research Agency
• Project number: P2-0126