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Analysis of non-linear losses in a parallel plate thermoacoustic stack

Armando Di Meglio, Nicola Massarotti, Sam Rolland Orcid Logo, Perumal Nithiarasu Orcid Logo

International Journal of Numerical Methods for Heat & Fluid Flow, Volume: 34, Issue: 1, Pages: 353 - 377

Swansea University Authors: Sam Rolland Orcid Logo, Perumal Nithiarasu Orcid Logo

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DOI (Published version): 10.1108/hff-02-2023-0071

Abstract

Purpose: This study aims to analyse the non-linear losses of a porous media (stack) composed by parallel plates and inserted in a resonator tube in oscillatory flows by proposing numerical correlations between pressure gradient and velocity. Design/methodology/approach: The numerical correlations or...

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Published in: International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539 0961-5539
Published: Emerald 2024
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URI: https://cronfa.swan.ac.uk/Record/cronfa64795
first_indexed 2023-10-23T08:28:53Z
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Design/methodology/approach: The numerical correlations origin from computational fluid dynamics simulations, conducted at the microscopic scale, in which three fluid channels representing the porous media are taken into account. More specifically, for a specific frequency and stack porosity, the oscillating pressure input is varied, and the velocity and the pressure-drop are post-processed in the frequency domain (Fast Fourier Transform analysis). Findings: It emerges that the viscous component of pressure drop follows a quadratic trend with respect to velocity inside the stack, while the inertial component is linear also at high-velocity regimes. Furthermore, the non-linear coefficient b of the correlation ax + bx2 (related to the Forchheimer coefficient) is discovered to be dependent on frequency. The largest value of the b is found at low frequencies as the fluid particle displacement is comparable to the stack length. Furthermore, the lower the porosity the higher the Forchheimer term because the velocity gradients at the stack geometrical discontinuities are more pronounced. Originality/value: The main novelty of this work is that, for the first time, non-linear losses of a parallel plate stack are investigated from a macroscopic point of view and summarised into a non-linear correlation, similar to the steady-state and well-known Darcy&#x2013;Forchheimer law. The main difference is that it considers the frequency dependence of both Darcy and Forchheimer terms. 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spelling 2024-09-19T16:57:36.6594482 v2 64795 2023-10-23 Analysis of non-linear losses in a parallel plate thermoacoustic stack c14ac34a71e9c058d1d2a353b44a24cd 0000-0003-0455-5620 Sam Rolland Sam Rolland true false 3b28bf59358fc2b9bd9a46897dbfc92d 0000-0002-4901-2980 Perumal Nithiarasu Perumal Nithiarasu true false 2023-10-23 ACEM Purpose: This study aims to analyse the non-linear losses of a porous media (stack) composed by parallel plates and inserted in a resonator tube in oscillatory flows by proposing numerical correlations between pressure gradient and velocity. Design/methodology/approach: The numerical correlations origin from computational fluid dynamics simulations, conducted at the microscopic scale, in which three fluid channels representing the porous media are taken into account. More specifically, for a specific frequency and stack porosity, the oscillating pressure input is varied, and the velocity and the pressure-drop are post-processed in the frequency domain (Fast Fourier Transform analysis). Findings: It emerges that the viscous component of pressure drop follows a quadratic trend with respect to velocity inside the stack, while the inertial component is linear also at high-velocity regimes. Furthermore, the non-linear coefficient b of the correlation ax + bx2 (related to the Forchheimer coefficient) is discovered to be dependent on frequency. The largest value of the b is found at low frequencies as the fluid particle displacement is comparable to the stack length. Furthermore, the lower the porosity the higher the Forchheimer term because the velocity gradients at the stack geometrical discontinuities are more pronounced. Originality/value: The main novelty of this work is that, for the first time, non-linear losses of a parallel plate stack are investigated from a macroscopic point of view and summarised into a non-linear correlation, similar to the steady-state and well-known Darcy–Forchheimer law. The main difference is that it considers the frequency dependence of both Darcy and Forchheimer terms. The results can be used to enhance the analysis and design of thermoacoustic devices, which use the kind of stacks studied in the present work. Journal Article International Journal of Numerical Methods for Heat &amp; Fluid Flow 34 1 353 377 Emerald 0961-5539 0961-5539 Porous media, parallel plate, oscillatory flows, Darcy-Forchheimer, thermoacoustics 2 1 2024 2024-01-02 10.1108/hff-02-2023-0071 COLLEGE NANME Aerospace, Civil, Electrical, and Mechanical Engineering COLLEGE CODE ACEM Swansea University 2024-09-19T16:57:36.6594482 2023-10-23T09:23:08.6377227 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Armando Di Meglio 1 Nicola Massarotti 2 Sam Rolland 0000-0003-0455-5620 3 Perumal Nithiarasu 0000-0002-4901-2980 4 64795__29004__907f6c9335b7493b8cfd2fab55baecb9.pdf 64795.pdf 2023-11-13T13:36:30.8225786 Output 2841940 application/pdf Version of Record true Copyright © 2023, Armando Di Meglio, Nicola Massarotti, Samuel Rolland and Perumal Nithiarasu. Distributed under the terms of a Creative Commons Attribution 4.0 International License (CC BY 4.0). true eng http://creativecommons.org/licenses/by/4.0/
title Analysis of non-linear losses in a parallel plate thermoacoustic stack
spellingShingle Analysis of non-linear losses in a parallel plate thermoacoustic stack
Sam Rolland
Perumal Nithiarasu
title_short Analysis of non-linear losses in a parallel plate thermoacoustic stack
title_full Analysis of non-linear losses in a parallel plate thermoacoustic stack
title_fullStr Analysis of non-linear losses in a parallel plate thermoacoustic stack
title_full_unstemmed Analysis of non-linear losses in a parallel plate thermoacoustic stack
title_sort Analysis of non-linear losses in a parallel plate thermoacoustic stack
author_id_str_mv c14ac34a71e9c058d1d2a353b44a24cd
3b28bf59358fc2b9bd9a46897dbfc92d
author_id_fullname_str_mv c14ac34a71e9c058d1d2a353b44a24cd_***_Sam Rolland
3b28bf59358fc2b9bd9a46897dbfc92d_***_Perumal Nithiarasu
author Sam Rolland
Perumal Nithiarasu
author2 Armando Di Meglio
Nicola Massarotti
Sam Rolland
Perumal Nithiarasu
format Journal article
container_title International Journal of Numerical Methods for Heat &amp; Fluid Flow
container_volume 34
container_issue 1
container_start_page 353
publishDate 2024
institution Swansea University
issn 0961-5539
0961-5539
doi_str_mv 10.1108/hff-02-2023-0071
publisher Emerald
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 1
active_str 0
description Purpose: This study aims to analyse the non-linear losses of a porous media (stack) composed by parallel plates and inserted in a resonator tube in oscillatory flows by proposing numerical correlations between pressure gradient and velocity. Design/methodology/approach: The numerical correlations origin from computational fluid dynamics simulations, conducted at the microscopic scale, in which three fluid channels representing the porous media are taken into account. More specifically, for a specific frequency and stack porosity, the oscillating pressure input is varied, and the velocity and the pressure-drop are post-processed in the frequency domain (Fast Fourier Transform analysis). Findings: It emerges that the viscous component of pressure drop follows a quadratic trend with respect to velocity inside the stack, while the inertial component is linear also at high-velocity regimes. Furthermore, the non-linear coefficient b of the correlation ax + bx2 (related to the Forchheimer coefficient) is discovered to be dependent on frequency. The largest value of the b is found at low frequencies as the fluid particle displacement is comparable to the stack length. Furthermore, the lower the porosity the higher the Forchheimer term because the velocity gradients at the stack geometrical discontinuities are more pronounced. Originality/value: The main novelty of this work is that, for the first time, non-linear losses of a parallel plate stack are investigated from a macroscopic point of view and summarised into a non-linear correlation, similar to the steady-state and well-known Darcy–Forchheimer law. The main difference is that it considers the frequency dependence of both Darcy and Forchheimer terms. The results can be used to enhance the analysis and design of thermoacoustic devices, which use the kind of stacks studied in the present work.
published_date 2024-01-02T05:10:39Z
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score 11.090445

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