2018
DOI: 10.1017/jfm.2018.429
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The impedance boundary condition for acoustics in swirling ducted flow

Abstract: The acoustics of a straight annular lined duct containing a swirling mean flow is considered. The classical Ingard–Myers impedance boundary condition is shown not to be correct for swirling flow. By considering behaviour within the thin boundary layers at the duct walls, the correct impedance boundary condition for an infinitely thin boundary layer with swirl is derived, which reduces to the Ingard–Myers condition when the swirl is set to zero. The correct boundary condition contains a spring-like term due to … Show more

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Cited by 6 publications
(10 citation statements)
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“…It was shown independently by Eversman & Beckemeyer (1972) and Tester (1973) that the Myers boundary condition was the correct limit in the case of an infinitely thin boundary layer with no swirl. However, it was shown in Masson et al (2017) that this was not the correct limit for an infinitely thin boundary layer in swirling flow.…”
Section: Myers' Boundary Conditionmentioning
confidence: 99%
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“…It was shown independently by Eversman & Beckemeyer (1972) and Tester (1973) that the Myers boundary condition was the correct limit in the case of an infinitely thin boundary layer with no swirl. However, it was shown in Masson et al (2017) that this was not the correct limit for an infinitely thin boundary layer in swirling flow.…”
Section: Myers' Boundary Conditionmentioning
confidence: 99%
“…For convenience, the four coupled governing equations in (2.13) are arbitrarily considered rather than the two coupled differential equations (2.15). The latter choice is closer to the method of Khamis & Brambley (2016) and is described in Masson (2018), Masson et al (2017). By using (2.13), the scaling…”
Section: Derivatives Of Pressure and Normal Velocitymentioning
confidence: 99%
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