A hybrid finite element approach to modeling sound radiation from circular and rectangular ducts

Duan, Wenhui; Kirby, Ray

doi:10.1121/1.3699196

Cited by 19 publications

(18 citation statements)

References 29 publications

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“…Recently, a suitable numerical model was proposed by Duan and Kirby 20 and this model is adapted here to include a point source at the closed end of the duct, see Fig. 2.…”

Section: Theory For a Flanged Ductmentioning

confidence: 99%

Measurement of complex acoustic intensity in an acoustic waveguide

Duan

Kirby²,

Prisutova³

et al. 2013

The Journal of the Acoustical Society of America

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Acoustic intensity is normally treated as a real quantity, but in recent years many articles have appeared in which intensity is treated as a complex quantity where the real (active) part is related to local mean energy flow, and the imaginary (reactive) part to local oscillatory transport of energy. This offers the potential to recover additional information about a sound field and then to relate this to the properties of the sound source and the environment that surrounds it. However, this approach is applicable only to a multi-modal sound fields, which places significant demands on the accuracy of the intensity measurements. Accordingly, this article investigates the accuracy of complex intensity measurements obtained using a tri-axial Microflown intensity probe by comparing measurement and prediction for sound propagation in an open flanged pipe. Under plane wave conditions comparison between prediction and experiment reveals good agreement, but when a higher order mode is present the reactive intensity field becomes complicated and agreement is less successful. It is concluded that the potential application of complex intensity as a diagnostic tool is limited by difficulties in measuring reactive intensity in complex sound fields when using current state of the art acoustic instrumentation.3

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“…Recently, a suitable numerical model was proposed by Duan and Kirby 20 and this model is adapted here to include a point source at the closed end of the duct, see Fig. 2.…”

Section: Theory For a Flanged Ductmentioning

confidence: 99%

Measurement of complex acoustic intensity in an acoustic waveguide

Duan

Kirby²,

Prisutova³

et al. 2013

The Journal of the Acoustical Society of America

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“…In the rectangular case, such a simple result is not known [24,25]. Nevertheless, it is possible to obtain accurate estimate of correction length for a rectangular channel by using results reported in [24,25].…”

Section: Modal Identificationmentioning

confidence: 90%

“…Nevertheless, it is possible to obtain accurate estimate of correction length for a rectangular channel by using results reported in [24,25]. For the presently considered rectangular geometry, with an aspect ratio B/D = 5, from the numerical results presented in Figure 6 of [25], one obtains…”

Section: Modal Identificationmentioning

confidence: 97%

Aeroacoustic source analysis in a corrugated flow pipe using low-frequency mitigation

Amielh

Anselmet

Jiang

et al. 2014

Journal of Turbulence

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International audienceOur study is focused on a phenomenon often encountered in flow carrying pipes, since flow instabilities caused by geometric features may generate acoustic signals and thereafter interact with these signals in such a way that powerful pure tones are produced. A modern example is found in the so-called "singing risers", or the gas pipes connecting gas production platforms to the transport network. But the flow generated resonance in a fully corrugated circular pipe may be silenced by the addition of relatively low frequency flow oscillations induced by an acoustic generator. Experiments reported here, aimed at investigating in more detail the coupling between the flow in the pipe, the acoustically generated flow oscillations and the emitted resulting noise, are performed in a specifically designed facility. A rectangular transparent channel using glass walls enables us to use optical techniques to describe in detail the flow field in the corrugation vicinity, in addition to more standard hot-wire anemometry and acoustic pressure measurements with microphones, with and without the acoustically generated low-frequency oscillations

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“…The hybrid method implemented here follows the same general approach as that described by Kirby et al [21,22] for elastic waveguides, see also Kirby [18] and Duan and Kirby [19] for acoustic waveguides. Accordingly, a weak form of Eq.…”

Section: The Hybrid Methodsmentioning

confidence: 99%

“…One possible approach is to find the eigenmodes for a waveguide by directly solving the governing eigenequation. This method is often referred to in the elastodynamic literature as the semi analytic finite element (SAFE) method; however it has also been used in the acoustic waveguide literature where there is no such terminology [18,19]. A hybrid SAFE-FE method was recently applied to elastic wave propagation in a solid cylinder by Benmeddour et al [20].…”

Section: Introductionmentioning

confidence: 99%

A numerical model for the scattering of elastic waves from a non-axisymmetric defect in a pipe

Duan

Kirby

2015

Finite Elements in Analysis and Design

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Ultrasonic guided waves are used in the non-destructive testing of pipelines. This involves launching an elastic wave along the wall of the pipe and then capturing the returning wave scattered by a defect. Numerical study of wave scattering is often computationally expensive because the shortest wavelength is often very small compared to the size of the pipe in the ultrasonic frequency range. Furthermore, the number of the scattered wave modes from a non-axisymmetric defect in the pipe can be large and separation of these modes is difficult in a conventional finite element method. Accordingly, this article presents a model suitable for studying elastic wave propagation in waveguides with an arbitrary cross-section in the time and frequency domain. A weighted residual formulation is used to deliver an efficient hybrid numerical formulation, which is applied to a long pipeline containing a defect of arbitrary shape. The problem is solved first in the frequency domain and then extended to the time domain using an inverse Fourier transform. To separate the scattered wave modes in the time domain, a technique is proposed whereby measurement locations are arranged axially along the pipe and a two dimensional Fourier transform is used to present data in the wavenumberfrequency domain. This enables the separation of highly dispersive modes and the recovery of modal amplitudes. This has the potential to reveal more information about the characteristics of a defect and so may help in distinguishing between different type of defects, such a cracks or regions of corrosion, typically found in pipelines.3

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A hybrid finite element approach to modeling sound radiation from circular and rectangular ducts

Cited by 19 publications

References 29 publications

Measurement of complex acoustic intensity in an acoustic waveguide

Measurement of complex acoustic intensity in an acoustic waveguide

Aeroacoustic source analysis in a corrugated flow pipe using low-frequency mitigation

A numerical model for the scattering of elastic waves from a non-axisymmetric defect in a pipe

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