The Herschel-Quincke tube with modulated branches

Papathanasiou, TK, Tsolakis, E, Spitas, V and Movchan, AB (2022) The Herschel-Quincke tube with modulated branches. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 380 (2237). 20220074-.

Text The Herschel-Quincke tube with modulated branches.pdf - Open Access published version Download (2MB) | Preview

Abstract

The Herschel-Quincke (HQ) tube concept for transmission loss in pipe systems is expanded to include cases of branches with modulated properties. Modulated waveguides, featuring corrugations in their geometry or speed of sound, are known to produce significant reflection even without the parallel branch of the HQ tube. The HQ tube, in its classical form, produces narrow banded transmission loss at frequencies related to the length, wavenumber and cross-section area of the parallel branch. The modulated Herschel-Quincke (MHQ) tube combines these attributes to produce enhanced transmission loss characteristics in terms of both width and number of transmission loss bands. Several modulated profiles for the speed of sound in different branches of the tube are considered and analytical expressions for the transmission loss and resonant conditions are derived. Detailed analysis of periodically stratified branch profiles demonstrates the effectiveness of the MHQ tube for fluid-borne noise attenuation in pipe systems. This article is part of the theme issue 'Wave generation and transmission in multi-scale complex media and structured metamaterials (part 2)'.

Item Type:	Article
Uncontrolled Keywords:	modified Herschel-Quincke tube, fluid-borne noise, transmission loss, modulated waveguides, periodic structures
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	11 Aug 2023 14:19
Last Modified:	11 Aug 2023 14:19
DOI:	10.1098/rsta.2022.0074
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3172180