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Mechanism of reduction of aeroacoustic sound by porous material: comparative study of microscopic and macroscopic models

Published online by Cambridge University Press:  27 October 2021

Yasunori Sato  and
Yuji Hattori Open the ORCID record for Yuji Hattori [Opens in a new window]
Yasunori Sato
Affiliation:
Institute of Fluid Science, Tohoku University, Sendai980-8577, Japan Graduate School of Information Sciences, Tohoku University, Sendai980-8579, Japan
Yuji Hattori*
Affiliation:
Institute of Fluid Science, Tohoku University, Sendai980-8577, Japan
*
†Email address for correspondence: hattori@ifs.tohoku.ac.jp
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Abstract

The effects of porous material on the aeroacoustic sound generated in a two-dimensional low-Reynolds-number flow ($Re=150$) past a circular cylinder are studied by direct numerical simulation in which the acoustic waves of small amplitudes are obtained directly as a solution to the compressible Navier–Stokes equations. Two models are introduced for the porous material: the microscopic model, in which the porous material is a collection of small cylinders, and the macroscopic model, in which the porous material is continuum characterized by permeability. The corrected volume penalization method is used to deal with the core cylinder, the small cylinders and the porous material. In the microscopic model, significant reduction of the aeroacoustic sound is found depending on the parameters; the maximum reduction of $24.4$ dB from the case of a bare cylinder is obtained. The results obtained for the modified macroscopic model are in good agreement with those obtained for the microscopic model converted by the theory of homogenization, which establishes that the microscopic and macroscopic models are consistent and valid. The detailed mechanism of sound reduction is elucidated. The presence of a fluid region between the porous material and the core cylinder is important for sound reduction. When the sound is strongly reduced, the pressure field behind the cylinder becomes nearly uniform with a high value to stabilize the shear layer in the wake; as a result, the vortex shedding behind the cylinder is delayed to the far wake to suppress the unsteady vortex motion near the cylinder, which is responsible for the aeroacoustic sound.

JFM classification

Acoustics: Aeroacoustics Acoustics: Noise control Low-Reynolds-number flows: Porous media
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 929 , 25 December 2021 , A34
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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