BERGANT, Anton ;REK, Zlatko ;URBANOWICZ, Kamil . Analytical, Numerical 1D and 3D Water Hammer Investigations in a Simple Pipeline Apparatus. Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 71, n.5-6, p. 149-156, april 2025. ISSN 0039-2480. Available at: <https://www.sv-jme.eu/sl/article/exact-numerical-1d-and-3d-water-hammer-investigations-in-a-simple-pipeline-apparatus/>. Date accessed: 29 jul. 2025. doi:http://dx.doi.org/10.5545/sv-jme.2024.1179.
Bergant, A., Rek, Z., & Urbanowicz, K. (2025). Analytical, Numerical 1D and 3D Water Hammer Investigations in a Simple Pipeline Apparatus. Strojniški vestnik - Journal of Mechanical Engineering, 71(5-6), 149-156. doi:http://dx.doi.org/10.5545/sv-jme.2024.1179
@article{sv-jmesv-jme.2024.1179,
author = {Anton Bergant and Zlatko Rek and Kamil Urbanowicz},
title = {Analytical, Numerical 1D and 3D Water Hammer Investigations in a Simple Pipeline Apparatus},
journal = {Strojniški vestnik - Journal of Mechanical Engineering},
volume = {71},
number = {5-6},
year = {2025},
keywords = {pipeline; water hammer; analytical solution; method of characteristics; computational fluid dynamics; unsteady skin friction; },
abstract = {This paper deals with the analytical and numerical simulation of a water hammer in the reservoir-pipeline-valve (RPV) system. An analytical solution of the water hammer equations with unsteady friction term was derived for transient laminar pipe flow in a RPV system. For simulation of an arbitrary flow situation a number of one-dimensional (1D) numerical methods have been developed. The physically based method of characteristics proved to be computationally efficient and can handle complex boundary conditions. The accuracy of the 1D numerical model is increased by introducing terms that take into account 3D effects (example of an unsteady skin friction). The 3D model predicts these influences directly and represents an excellent tool for researching multidimensional properties of fluids (numerical laboratory). Calculation results based on 1D and 3D numerical models are in good agreement with the results of measurements taking into account adequate prediction and modelling of influential physical parameters during laminar and low-Reynolds number turbulent water hammer events. Quantitative comparison analysis yields up to 2 % difference in maximum head at the valve and up to 5 % relative difference in pressure head drop at the midpoint of the pipeline monitored over the first four positive pressure pulses.},
issn = {0039-2480}, pages = {149-156}, doi = {10.5545/sv-jme.2024.1179},
url = {https://www.sv-jme.eu/sl/article/exact-numerical-1d-and-3d-water-hammer-investigations-in-a-simple-pipeline-apparatus/}
}
Bergant, A.,Rek, Z.,Urbanowicz, K. 2025 April 71. Analytical, Numerical 1D and 3D Water Hammer Investigations in a Simple Pipeline Apparatus. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 71:5-6
%A Bergant, Anton %A Rek, Zlatko %A Urbanowicz, Kamil %D 2025 %T Analytical, Numerical 1D and 3D Water Hammer Investigations in a Simple Pipeline Apparatus %B 2025 %9 pipeline; water hammer; analytical solution; method of characteristics; computational fluid dynamics; unsteady skin friction; %! Analytical, Numerical 1D and 3D Water Hammer Investigations in a Simple Pipeline Apparatus %K pipeline; water hammer; analytical solution; method of characteristics; computational fluid dynamics; unsteady skin friction; %X This paper deals with the analytical and numerical simulation of a water hammer in the reservoir-pipeline-valve (RPV) system. An analytical solution of the water hammer equations with unsteady friction term was derived for transient laminar pipe flow in a RPV system. For simulation of an arbitrary flow situation a number of one-dimensional (1D) numerical methods have been developed. The physically based method of characteristics proved to be computationally efficient and can handle complex boundary conditions. The accuracy of the 1D numerical model is increased by introducing terms that take into account 3D effects (example of an unsteady skin friction). The 3D model predicts these influences directly and represents an excellent tool for researching multidimensional properties of fluids (numerical laboratory). Calculation results based on 1D and 3D numerical models are in good agreement with the results of measurements taking into account adequate prediction and modelling of influential physical parameters during laminar and low-Reynolds number turbulent water hammer events. Quantitative comparison analysis yields up to 2 % difference in maximum head at the valve and up to 5 % relative difference in pressure head drop at the midpoint of the pipeline monitored over the first four positive pressure pulses. %U https://www.sv-jme.eu/sl/article/exact-numerical-1d-and-3d-water-hammer-investigations-in-a-simple-pipeline-apparatus/ %0 Journal Article %R 10.5545/sv-jme.2024.1179 %& 149 %P 8 %J Strojniški vestnik - Journal of Mechanical Engineering %V 71 %N 5-6 %@ 0039-2480 %8 2025-04-07 %7 2025-04-07
Bergant, Anton, Zlatko Rek, & Kamil Urbanowicz. "Analytical, Numerical 1D and 3D Water Hammer Investigations in a Simple Pipeline Apparatus." Strojniški vestnik - Journal of Mechanical Engineering [Online], 71.5-6 (2025): 149-156. Web. 29 Jul. 2025
TY - JOUR AU - Bergant, Anton AU - Rek, Zlatko AU - Urbanowicz, Kamil PY - 2025 TI - Analytical, Numerical 1D and 3D Water Hammer Investigations in a Simple Pipeline Apparatus JF - Strojniški vestnik - Journal of Mechanical Engineering DO - 10.5545/sv-jme.2024.1179 KW - pipeline; water hammer; analytical solution; method of characteristics; computational fluid dynamics; unsteady skin friction; N2 - This paper deals with the analytical and numerical simulation of a water hammer in the reservoir-pipeline-valve (RPV) system. An analytical solution of the water hammer equations with unsteady friction term was derived for transient laminar pipe flow in a RPV system. For simulation of an arbitrary flow situation a number of one-dimensional (1D) numerical methods have been developed. The physically based method of characteristics proved to be computationally efficient and can handle complex boundary conditions. The accuracy of the 1D numerical model is increased by introducing terms that take into account 3D effects (example of an unsteady skin friction). The 3D model predicts these influences directly and represents an excellent tool for researching multidimensional properties of fluids (numerical laboratory). Calculation results based on 1D and 3D numerical models are in good agreement with the results of measurements taking into account adequate prediction and modelling of influential physical parameters during laminar and low-Reynolds number turbulent water hammer events. Quantitative comparison analysis yields up to 2 % difference in maximum head at the valve and up to 5 % relative difference in pressure head drop at the midpoint of the pipeline monitored over the first four positive pressure pulses. UR - https://www.sv-jme.eu/sl/article/exact-numerical-1d-and-3d-water-hammer-investigations-in-a-simple-pipeline-apparatus/
@article{{sv-jme}{sv-jme.2024.1179},
author = {Bergant, A., Rek, Z., Urbanowicz, K.},
title = {Analytical, Numerical 1D and 3D Water Hammer Investigations in a Simple Pipeline Apparatus},
journal = {Strojniški vestnik - Journal of Mechanical Engineering},
volume = {71},
number = {5-6},
year = {2025},
doi = {10.5545/sv-jme.2024.1179},
url = {https://www.sv-jme.eu/sl/article/exact-numerical-1d-and-3d-water-hammer-investigations-in-a-simple-pipeline-apparatus/}
}
TY - JOUR AU - Bergant, Anton AU - Rek, Zlatko AU - Urbanowicz, Kamil PY - 2025/04/07 TI - Analytical, Numerical 1D and 3D Water Hammer Investigations in a Simple Pipeline Apparatus JF - Strojniški vestnik - Journal of Mechanical Engineering; Vol 71, No 5-6 (2025): Strojniški vestnik - Journal of Mechanical Engineering DO - 10.5545/sv-jme.2024.1179 KW - pipeline, water hammer, analytical solution, method of characteristics, computational fluid dynamics, unsteady skin friction, N2 - This paper deals with the analytical and numerical simulation of a water hammer in the reservoir-pipeline-valve (RPV) system. An analytical solution of the water hammer equations with unsteady friction term was derived for transient laminar pipe flow in a RPV system. For simulation of an arbitrary flow situation a number of one-dimensional (1D) numerical methods have been developed. The physically based method of characteristics proved to be computationally efficient and can handle complex boundary conditions. The accuracy of the 1D numerical model is increased by introducing terms that take into account 3D effects (example of an unsteady skin friction). The 3D model predicts these influences directly and represents an excellent tool for researching multidimensional properties of fluids (numerical laboratory). Calculation results based on 1D and 3D numerical models are in good agreement with the results of measurements taking into account adequate prediction and modelling of influential physical parameters during laminar and low-Reynolds number turbulent water hammer events. Quantitative comparison analysis yields up to 2 % difference in maximum head at the valve and up to 5 % relative difference in pressure head drop at the midpoint of the pipeline monitored over the first four positive pressure pulses. UR - https://www.sv-jme.eu/sl/article/exact-numerical-1d-and-3d-water-hammer-investigations-in-a-simple-pipeline-apparatus/
Bergant, Anton, Rek, Zlatko, AND Urbanowicz, Kamil. "Analytical, Numerical 1D and 3D Water Hammer Investigations in a Simple Pipeline Apparatus" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 71 Number 5-6 (07 April 2025)
Strojniški vestnik - Journal of Mechanical Engineering 71(2025)5-6, 149-156
© The Authors 2025. CC BY 4.0 Int.
This paper deals with the analytical and numerical simulation of a water hammer in the reservoir-pipeline-valve (RPV) system. An analytical solution of the water hammer equations with unsteady friction term was derived for transient laminar pipe flow in a RPV system. For simulation of an arbitrary flow situation a number of one-dimensional (1D) numerical methods have been developed. The physically based method of characteristics proved to be computationally efficient and can handle complex boundary conditions. The accuracy of the 1D numerical model is increased by introducing terms that take into account 3D effects (example of an unsteady skin friction). The 3D model predicts these influences directly and represents an excellent tool for researching multidimensional properties of fluids (numerical laboratory). Calculation results based on 1D and 3D numerical models are in good agreement with the results of measurements taking into account adequate prediction and modelling of influential physical parameters during laminar and low-Reynolds number turbulent water hammer events. Quantitative comparison analysis yields up to 2 % difference in maximum head at the valve and up to 5 % relative difference in pressure head drop at the midpoint of the pipeline monitored over the first four positive pressure pulses.