1965
DOI: 10.1115/1.3650568
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The Reflection of Waterhammer Pressure Waves From Minor Losses

Abstract: This paper deals with the reflection produced when a waterhammer pressure wave encounters any device that produces a sudden energy loss such as an orifice, a valve, or an elbow. The classical wave theory is used to determine the magnitudes of the reflected and the transmitted waves. The waterhammer equations, with the friction term included, are solved by the method of characteristics. The conditions at a minor loss are studied as a boundary condition to these equations. Agreement between theoretical and exper… Show more

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Cited by 46 publications
(17 citation statements)
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“…An impulse to research activity in the PS management derives from the unexpected reliability of transient test-based techniques with respect to more consolidated techniques in which pressure and flow measurements are carried out in steady-state conditions. With the exception of the work by Contractor (1965), in which attention was focused on the transient behavior of three closely spaced orifices producing a large local head loss, first steps were taken in the field of leak location and sizing. In 1994 Liggett and Chen proposed the use of the unsteady flow differential equations-the classic Inverse Transient Analysis (ITA)-as a tool for calibration, location and calculation of leaks in PS.…”
Section: Introductionmentioning
confidence: 99%
“…An impulse to research activity in the PS management derives from the unexpected reliability of transient test-based techniques with respect to more consolidated techniques in which pressure and flow measurements are carried out in steady-state conditions. With the exception of the work by Contractor (1965), in which attention was focused on the transient behavior of three closely spaced orifices producing a large local head loss, first steps were taken in the field of leak location and sizing. In 1994 Liggett and Chen proposed the use of the unsteady flow differential equations-the classic Inverse Transient Analysis (ITA)-as a tool for calibration, location and calculation of leaks in PS.…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, the range of variability of the initial Reynolds number studied is very narrow and, because of their quite low values, concerns flow conditions that are quite unrealistic in real pipe systems. The interaction between a pressure wave and different partially closed in-line valves in a high density polyethylene (HDPE) pipe was examined by Meniconi et al (2011)-an extension of the pioneering paper by Contractor (1965)with particular attention to the mechanisms that give rise to the first pressure wave reflected by the in-line valve.…”
Section: Introductionmentioning
confidence: 99%
“…Stephens et al (2005), Brunone et al (2008) and Duan et al (2012) proposed that blockages in pipes are divided into two categories-discrete and extended blockages-according to its relative length to the total pipeline length. In the context of discrete blockages, Contractor (1965) shows that a discrete partial blockage causes a partial reflection of a waterhammer wave where the amplitude of the reflected wave provides information on the severity of the constriction and the arrival time of the reflected wave provides the location of the blockage. The findings in Contractor (1965) have been confirmed and used for blockage detection by Wang et al (2005) and Meniconi et al (2009Meniconi et al ( , 2011Meniconi et al ( and 2012.…”
Section: Introductionmentioning
confidence: 99%
“…In the context of discrete blockages, Contractor (1965) shows that a discrete partial blockage causes a partial reflection of a waterhammer wave where the amplitude of the reflected wave provides information on the severity of the constriction and the arrival time of the reflected wave provides the location of the blockage. The findings in Contractor (1965) have been confirmed and used for blockage detection by Wang et al (2005) and Meniconi et al (2009Meniconi et al ( , 2011Meniconi et al ( and 2012. Wang et al (2005) showed that a discrete blockage in a pipe system introduces a frequency dependent damping to the transient signal and developed a technique for locating and sizing discrete blockages based on this damping.…”
Section: Introductionmentioning
confidence: 99%