Numerical Simulation of Transient Vaporous Cavitating Flow in Horizontal Pipelines

Taïeb, Lamjed Hadj; Hadj-Taïeb, Ezzeddine; Thirriot, C.

doi:10.1080/02286203.2007.11442436

Cited by 5 publications

(3 citation statements)

References 13 publications

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“…3, Fig. 4) has been also observed by Hadj-Taieb et al [13,14], but these authors did not use the method of characteristics and solved the basic equations with the finite-difference method (Lax-Wendroff method). However, while analysing the results obtained by Karadžić et al [15], it is clear that also for the relatively dense division N = 54, 108 and 216 significant difference between the simulated results can be seen (Fig.…”

Section: Introductionmentioning

confidence: 58%

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Computational compliance criteria in water hammer modelling

Urbanowicz

2017

E3S Web Conf.

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Abstract. Among many numerical methods (finite: difference, element, volume etc.) used to solve the system of partial differential equations describing unsteady pipe flow, the method of characteristics (MOC) is most appreciated. With its help, it is possible to examine the effect of numerical discretisation carried over the pipe length. It was noticed, based on the tests performed in this study, that convergence of the calculation results occurred on a rectangular grid with the division of each pipe of the analysed system into at least 10 elements. Therefore, it is advisable to introduce computational compliance criteria (CCC), which will be responsible for optimal discretisation of the examined system. The results of this study, based on the assumption of various values of the Courant-Friedrichs-Levy (CFL) number, indicate also that the CFL number should be equal to one for optimum computational results. Application of the CCC criterion to own written and commercial computer programmes based on the method of characteristics will guarantee fast simulations and the necessary computational coherence.

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Section: Introductionmentioning

confidence: 58%

“…-the method of characteristics is less sensitive to the change of N factor than other methods (for example, the finite-difference method -the studies by Hadj-Tajeb [13,14]). On the basis of the literature being reviewed above, the objective and scope of the study could be defined.…”

Section: Introductionmentioning

confidence: 99%

Computational compliance criteria in water hammer modelling

Urbanowicz

2017

E3S Web Conf.

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“…In addition to the friction coefficient, the behavior of the water hammer wave, its shape and its attenuation over time depend on the wall thickness-to-pipe diameter ratio e/D. In fact, the ratio e/D occurs in the expression of the pressure wave celerity [5,6,19]. A special emphasis is devoted to the effect of the pipe wall thickness while keeping constant the length and diameter of the pipe.…”

Section: Effect Of Wall Thickness-to-pipe Diameter Ratio E/d On Resonmentioning

confidence: 99%

Revisiting frequency domain analysis method for water hammer effects on pipeline systems

Ayed

Hafsi

2020

J Braz. Soc. Mech. Sci. Eng.

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This paper revisits frequency domain analysis method for water hammer study in a hydraulic system. Detailed investigation of the effect of the flow parameters is conducted. Weaknesses on previous research works were pointed out. A brief presentation of the frequency response function determined from motions equations of transient water flow is firstly presented. A special emphasis was devoted to the effect of frictional flow on resonance pulsations. It was obtained that, unlike previous findings, resonance frequencies in a frictional flow are decayed from odd harmonics. This decay is more or less significant depending on the friction coefficient. The observations related to various effects are also illustrated through a set of test cases that were numerically analyzed. Additionally relative uncertainties highlighting the frictional flow effect on the accuracy of resonant pulsations detection are evaluated.

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