Effects of air vessel on water hammer in high-head pumping station

Wang, L; Wang, F J; Zou, Zhichao; Li, X N; Zhang, J C

doi:10.1088/1757-899x/52/7/072010

Cited by 19 publications

(9 citation statements)

References 3 publications

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“…Equations (4) and (8) shows that the effect of cohesion pressure can be reduced by increasing the vessel volume and increased by reducing the vessel volume. Therefore, the present study focuses on the influences of cohesion pressure on the fluctuations of the water depth and air level under different volume diameters (Dvessel), where Dvessel is the diameter of the air vessel.…”

Section: Resultsmentioning

confidence: 99%

“…At t = 49.63 s, the minimum values of P VDW /P Ideal and P RK /P Ideal are 0.983 and 0.989. As seen from Table 2, the pressure and level differences are now much smaller compared to the ideal gas (≈1%), as a consequence of the negligible influence of the interatomic attractions in the high-pressure regime (cohesion pressure in Equations (4) and (8) tend to zero).…”

Section: Discussionmentioning

confidence: 97%

“…As an airtight high-pressure container, the air vessel is usually installed in the pipeline adjacent to the pump outlet for the purpose of negative pressure prevention after pump failure [5][6][7][8]. Wood [9] carried out analytical and experimental investigations, and the results showed that air vessels could attenuate the pressure surges well along the pipeline.…”

Section: Introductionmentioning

confidence: 99%

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Mathematical Model of Small-Volume Air Vessel Based on Real Gas Equation

Zhang

Shi

et al. 2020

Water

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The gas characteristics of an air vessel is one of the key parameters that determines the protective effect on water hammer pressure. Because of the limitation of the ideal gas state equation applied for a small-volume vessel, the Van der Waals (VDW) equation and Redlich–Kwong (R–K) equation are proposed to numerically simulate the pressure oscillation. The R–K polytropic equation is derived under the assumption that the volume occupied by the air molecules themselves could be ignored. The effects of cohesion pressure under real gas equations are analyzed by using the method of characteristics under different vessel diameters. The results show that cohesion pressure has a significant effect on the small volume vessel. During the first phase of the transient period, the minimum pressure and water depth calculated by a real gas model are obviously lower than that calculated by an ideal gas model. Because VDW cohesion pressure has a stronger influence on the air vessel pressure compared to R–K air cohesion pressure, the amplitude of head oscillation in the vessel calculated by the R–K equation becomes larger. The numerical results of real gas equations can provide a higher safe-depth margin of the water depth required in the small-volume vessel, resulting in the safe operation of the practical pumping pipeline system.

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Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

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Mathematical Model of Small-Volume Air Vessel Based on Real Gas Equation

Zhang

Shi

et al. 2020

Water

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“…U radu [4] autori su razmatrali efekat posude za sprečavanje hidrauličnog udara u pumpnoj stanici na potisnom cevovodu. Rezultati analize su pokazali da je zapremina posude ključni parametar koji određuje efektivnost zaštite od hidrauličnog udara.…”

Section: IIunclassified

Proračun posuda sa vazduhom za zaštitu cevovoda od hidrauličnog udara

Tanasić¹,

Stamenić²,

Genić³

et al. 2017

procteh

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Posude sa komprimovanim vazduhom mogu na efektivan način da umanje pojavu prekomernog povišenja i smanjenja pritiska usled hidrauličnog udara u industrijskim cevovodima. U radu je prikazana pojednostavljena procedura za proračun zapremine posude koju zauzima vazduh i ukupne zapremine posude. U radu su date preporuke za pravilan izbor dimenzija ulaznog i izlaznog cevnog priključka na posudi čime se može minimizirati njena zapremina. I. UVODBrze promene protoka u cevovodu, izazvane brzim zatvaranjem zaustavnih ventila ili naglim prestankom rada pumpe, dovode do oscilacija pritiska u sistemu što se ispolјava nizom udara u zid cevi. Udari se mogu zapaziti i po zvuku i po opterećenju cevi, a njihovo dejstvo može da izazove i havariju cevovoda.U ovom radu je prikazana pojednostavljena procedura za proračun zapremine posude sa vazdušnim jastukom za zaštitu cevovoda od hidrauličnog udara. Takođe su date preporuke za pravilan izbor dimenzija ulaznog i izlaznog cevnog priključka na posudi.

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“…At negative pressure, the valve gets open, and the fluid shall discharge from the vessel to the pipe to compensate for the negative pressure. The best position for the installation of an air-chamber and connection to the pipeline is as much close to the outlet of pump station (Wang et al, 2013). In high-capacity large transmission pipelines, a high-volume air-chamber is needed due to the largewater-hammer issues.…”

Section: Introductionmentioning

confidence: 99%

Application of Central Force Optimization Method to Design Transient Protection Devices for Water Transmission Pipelines

Moghaddas¹,

Samani²

2016

MAS

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One of the major challenges in designing under pressure water transmission pipeline is the system protection against water-hammer pressures due to a pump trip. The best strategy is to use air-chamber; which imposes considerable costs. To mitigate the air-chamber volume, the use of air-inletvalvesis also suggested. Determination of air-chamber volume as well as the type and proper locations of air-inlet valves, aiming at the cost reduction, introduces an optimization problem. To solve this problem, this study exploitsthe central force optimization (CFO) method. Herein, a case study pipeline is optimized using the proposed model based on the CFO and is compared with results of a genetic algorithm (GA) based model. Both methods yielded almost the same results and led to about 30% saving in the system protection cost. However, a comparison between the methods showed that the CFO dramaticallyoutperforms GA in both terms of computational efficiency and reliability of the results.

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Effects of air vessel on water hammer in high-head pumping station

Cited by 19 publications

References 3 publications

Mathematical Model of Small-Volume Air Vessel Based on Real Gas Equation

Mathematical Model of Small-Volume Air Vessel Based on Real Gas Equation

Proračun posuda sa vazduhom za zaštitu cevovoda od hidrauličnog udara

Application of Central Force Optimization Method to Design Transient Protection Devices for Water Transmission Pipelines

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