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Analysis of non-linear losses in a parallel plate thermoacoustic stack
International Journal of Numerical Methods for Heat & Fluid Flow
Swansea University Authors:
Sam Rolland , Perumal Nithiarasu
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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).
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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...
Published in: | International Journal of Numerical Methods for Heat & Fluid Flow |
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ISSN: | 0961-5539 0961-5539 |
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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–Forchheimer law. The main difference is that it considers the frequency dependence of both Darcy and Forchheimer terms. 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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 GENG 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 & Fluid Flow Emerald 0961-5539 0961-5539 Porous media, parallel plate, oscillatory flows, Darcy-Forchheimer, thermoacoustics 0 0 0 0001-01-01 10.1108/hff-02-2023-0071 http://dx.doi.org/10.1108/hff-02-2023-0071 COLLEGE NANME General Engineering COLLEGE CODE GENG Swansea University 2023-11-24T12:32:46.1420734 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 |
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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 & Fluid Flow |
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 |
|
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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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 |
url |
http://dx.doi.org/10.1108/hff-02-2023-0071 |
document_store_str |
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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 |
0001-01-01T12:32:46Z |
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1783448644511334400 |
score |
11.017797 |