Sound propagation through a rarefied gas in rectangular channels
Wu, Lei (2016) Sound propagation through a rarefied gas in rectangular channels. Physical Review E, 94. 053110. ISSN 2470-0053 (https://doi.org/10.1103/PhysRevE.94.053110)
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Abstract
A sound propagation through a rarefied gas inside a two-dimensional cavity is investigated on the basis of the linearized Boltzmann equation, where one of the cavity wall oscillates harmonically in the normal direction to its own surface and is considered as a sound source. An analytical solution at high oscillation frequencies is obtained, and detailed numerical results for a wide range of gas rarefaction are presented. The influence of both the aspect ratio of the cavity and the oscillation frequency on the average gas pressure exerted on the oscillating plate is studied. It is found that, at large values of the aspect ratio, the average pressure oscillates when the sound frequency varies, due to the sound resonance and anti-resonance along the oscillation direction of the plate. However, at small values of the aspect ratio, the average pressure is a monotonically decreasing function of the sound frequency, which cannot be observed in the corresponding one-dimensional counterpart. This is explained by the sound interference in the direction parallel to the oscillating plate. The influence of both the cavity aspect ratio and oscillation frequency on the sound speed is also investigated: again it is found that different aspect ratio leads to the different behavior of the sound speed as a function of the oscillation frequency.
ORCID iDs
Wu, Lei ORCID: https://orcid.org/0000-0002-6435-5041;-
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Item type: Article ID code: 58309 Dates: DateEvent11 November 2016Published26 October 2016AcceptedSubjects: Technology > Chemical technology
Science > PhysicsDepartment: Faculty of Engineering > Mechanical and Aerospace Engineering Depositing user: Pure Administrator Date deposited: 27 Oct 2016 08:29 Last modified: 03 Dec 2024 01:15 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/58309