2022
DOI: 10.3390/applmech3030047
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Spectral Properties of Water Hammer Wave

Abstract: The prevention of excessive pressure build-up in pipelines requires a thorough understanding of water hammer phenomena. Using theoretical techniques, researchers have investigated this phenomenon and proposed productive solutions. In this article, we demonstrate a power spectral density approach on the pressure wave generated by water hammer in order to improve our understanding on the frequency domain approach as well as their fractal nature and complexity. This approach has the ability to explain some valuab… Show more

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Cited by 13 publications
(9 citation statements)
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“…The Hurst exponent represents structure over asymptotically longer periods [46]. It is an effective method to quantitatively describe the long-range dependence of time series, and is a measure of a data series' "mild" or "wild" randomness [47,48]. It has to do with time series autocorrelations and the pace at which they drop as the lag between pairs of values grows longer [48].…”
Section: Hurst Analysismentioning
confidence: 99%
See 1 more Smart Citation
“…The Hurst exponent represents structure over asymptotically longer periods [46]. It is an effective method to quantitatively describe the long-range dependence of time series, and is a measure of a data series' "mild" or "wild" randomness [47,48]. It has to do with time series autocorrelations and the pace at which they drop as the lag between pairs of values grows longer [48].…”
Section: Hurst Analysismentioning
confidence: 99%
“…It is an effective method to quantitatively describe the long-range dependence of time series, and is a measure of a data series' "mild" or "wild" randomness [47,48]. It has to do with time series autocorrelations and the pace at which they drop as the lag between pairs of values grows longer [48]. It was established in hydrology for the purpose of calculating the optimum dam size [49].…”
Section: Hurst Analysismentioning
confidence: 99%
“…Under the action of test pressure along pipelines, stresses arise, due to which the probability of pipe failure with defects reaches a high level. Sarker and Sarker [19] demonstrated an approach to estimate the power of the pressure wave generated by hydrostroke. In addition, Nordhagen et al [20] presented an experimentally obtained time of action and pressure decay rate in a cracked pipe with methane at a pressure equal to 12.2 MPa.…”
Section: Introductionmentioning
confidence: 99%
“…To obtain the power spectrum, we employed the Fourier transform, a method to convert continuous timeseries data with a certain time step into its power distribution in the frequency domain [30]. Mathematically, the Fourier transform can be expressed as [31]…”
mentioning
confidence: 99%
“…where F(t) refers to the water level or water current at certain time (t), t1 and t2 denote the start and end times of the analyzed period, and k represents the wave number. The power spectrum is then obtained by multiplying the discrete Fourier transform with its complex conjugate, as shown by the following equation [31] S…”
mentioning
confidence: 99%