The Herschel-Quincke tube with modulated branches

T. K. Papathanasiou*, E. Tsolakis, V. Spitas, A. B. Movchan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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)'.
Original languageEnglish
Article number20220074
Number of pages16
JournalPhilosophical Transactions A
Issue number2237
Early online date10 Oct 2022
Publication statusPublished - 28 Nov 2022

Bibliographical note

© 2022 The Authors.
Published by the Royal Society under the terms of the Creative Commons Attribution License


  • modified Herschel-Quincke tube
  • fluid-borne noise
  • transmission loss
  • modulated waveguides
  • periodic structures


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