Abstract
This study presents a theoretical analysis of the influence of the insertion of circular tubes into a pipeline on the rapid water hammer phenomenon. Three types of circular tubes are distinguished: a thin-walled tube, a thick-walled tube and a solid cylindrical tube. For each case, by applying the work-energy principle, a formula for the pressure wave velocity is derived. The differences between the derived formulas are analyzed. It is shown that the insertion of a tube with a low bulk elastic modulus may have a damping effect on the water hammer phenomenon, i.e., it reduces the pressure wave velocity and maximum pressure increase.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bergant A, Tijsseling A, Vitkovsky J et al (2008) Parameters affecting water-hammer attenuation, shape and timingâPart 1: mathematical tools. J Hydraul Res 46(3):377
Grote K, Antonsson E (2009) Springer handbook of mechanical engineering, 1st edn. Springer, Berlin, p 947
Kubrak M, Kodura A, ImieĆowski S (2018) Analysis of pressure wave velocity in a steel pipeline with inserted fiber optic cable. Free Surface Flows and Transport Processes/GeoPlanet: Earth and Planetary Sciences, pp 281â292
Mitosek M, Szymkiewicz R (2016) Reservoir influence on pressure wave propagation in steel pipes. J Hydraulic Eng 132(8):1â5
Streeter VL (1958) Fluid mechanics. McGraw-Hill Companies, Columbus, OH
Tijsseling AS, Kruisbrink ACH, Pereira da Silva A (1999) The reduction of pressure wavespeeds by internal rectangular tubes. In: Proceedings of 3rd ASME/JSME joint fluids engineering conference, San Francisco
Wylie EB, Streeter VL (1993) Fluid transients in systems. Prentice-Hall, Upper Saddle River, NJ
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Kubrak, M., Kodura, A. (2020). Theoretical Analysis of the Reduction of Pressure Wave Velocity by Internal Circular Tubes. In: Kalinowska, M., Mrokowska, M., RowiĆski, P. (eds) Recent Trends in Environmental Hydraulics. GeoPlanet: Earth and Planetary Sciences. Springer, Cham. https://doi.org/10.1007/978-3-030-37105-0_10
Download citation
DOI: https://doi.org/10.1007/978-3-030-37105-0_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-37104-3
Online ISBN: 978-3-030-37105-0
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)