2005
DOI: 10.1016/j.jsv.2004.10.016
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A point collocation approach to modelling large dissipative silencers

Abstract: A numerical matching technique known as point collocation is used to model mathematically large dissipative splitter silencers of a type commonly found in HVAC ducts. Transmission loss predictions obtained using point collocation are compared with exact analytic mode matching predictions in the absence of mean flow. Over the frequency range in which analytic mode matching predictions are available, excellent agreement with point collocation transmission loss predictions is observed for a range of large splitte… Show more

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Cited by 83 publications
(56 citation statements)
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“…To accommodate relatively large HVAC ducts, which are common in practice, a multi-modal sound field is chosen to excite the silencer. The effects of the splitter fairing are quantified by comparison with transmission loss predictions reported by Kirby and Lawrie [10] (who omit splitter end baffles), and with experimental results reported by Mechel [12]. The effects of varying both the porosity of the perforate, and the properties of the bulk reacting porous material, are also investigated.…”
Section: Introductionmentioning
confidence: 94%
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“…To accommodate relatively large HVAC ducts, which are common in practice, a multi-modal sound field is chosen to excite the silencer. The effects of the splitter fairing are quantified by comparison with transmission loss predictions reported by Kirby and Lawrie [10] (who omit splitter end baffles), and with experimental results reported by Mechel [12]. The effects of varying both the porosity of the perforate, and the properties of the bulk reacting porous material, are also investigated.…”
Section: Introductionmentioning
confidence: 94%
“…On finding the duct/silencer eigenfunctions and associated wave numbers, the modal amplitudes may be computed by application of the axial matching conditions, after suitable truncation of each modal sum. A numerical approach similar to the one described by Kirby [13], and Kirby and Lawrie [10], is adopted here and so, after introducing the duct geometry and governing wave equations, a finite element eigenvalue analysis is described; this is followed by a point collocation scheme that seeks to fulfil the axial continuity conditions.…”
Section: Theorymentioning
confidence: 99%
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“…The equal modal energy density (EMED) assumption, i.e., F n j j 2 I n ¼ F m j j 2 I m for all m, n, has been chosen for the inlet as incident sound source, as it is a good representation of the sound field emanating from a fan in a ventilation system; see Kirby and Lawrie. 20 For EMED, the incoming modal amplitudes can be calculated from the formula…”
mentioning
confidence: 99%