Compressibility effects in microchannel flows between two-parallel plates at low reynolds and mach numbers: Numerical analysis

Under certain circumstances, flow in microchannels can exhibit compressibility effects even at Reynolds numbers (Re) around (below 2,300) and low Mach numbers (below 0.3). This is particularly true for gases, especially when the flow undergoes significant pressure changes or acceleration within the...

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التفاصيل البيبلوغرافية
المؤلف الرئيسي: Mohammed, E. Elgack (author)
مؤلفون آخرون: Khaled, Al-Souqi (author), Mohammad, O. Hamdan (author), Mohamed, Abdelgawad (author)
التنسيق: article
منشور في: 2024
الموضوعات:
الوصول للمادة أونلاين:https://hdl.handle.net/11073/32570
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author Mohammed, E. Elgack
author2 Khaled, Al-Souqi
Mohammad, O. Hamdan
Mohamed, Abdelgawad
author2_role author
author
author
author_facet Mohammed, E. Elgack
Khaled, Al-Souqi
Mohammad, O. Hamdan
Mohamed, Abdelgawad
author_role author
dc.creator.none.fl_str_mv Mohammed, E. Elgack
Khaled, Al-Souqi
Mohammad, O. Hamdan
Mohamed, Abdelgawad
dc.date.none.fl_str_mv 2024-11-24
2025-12-23T11:02:20Z
2025-12-23T11:02:20Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv Elgack, M. E., Al-Souqi, K., Hamdan, M. O., & Abdelgawad, M. (2024). Compressibility effects in microchannel flows between two-parallel plates at low reynolds and mach numbers: Numerical analysis. International Journal of Thermofluids, 24, 100921. https://doi.org/10.1016/j.ijft.2024.100921
2666-2027
https://hdl.handle.net/11073/32570
10.1016/j.ijft.2024.100921
dc.language.none.fl_str_mv en
dc.publisher.none.fl_str_mv Elsevier
dc.relation.none.fl_str_mv https://doi.org/10.1016/j.ijft.2024.100921
dc.rights.none.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.none.fl_str_mv Low-Mach-Number Compressible Flow
Compressibility Effects
Low-Reynolds-Number Flow
Shallow Microchannel
Microfluidics
dc.title.none.fl_str_mv Compressibility effects in microchannel flows between two-parallel plates at low reynolds and mach numbers: Numerical analysis
dc.type.none.fl_str_mv Peer-Reviewed
Published version
info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
description Under certain circumstances, flow in microchannels can exhibit compressibility effects even at Reynolds numbers (Re) around (below 2,300) and low Mach numbers (below 0.3). This is particularly true for gases, especially when the flow undergoes significant pressure changes or acceleration within the microchannel. This study investigates the compressibility effects encountered in two-parallel plates microchannels at these low Reynolds and Mach numbers, due to the high-pressure drop associated with the small scale of the microchannels. This uncommon flow is characterized by an exceptionally small channel diameter-to-length aspect ratio (∼10–3), resulting in a friction coefficient that deviates from the typical value for laminar flow between parallel plates (f = 96/Re). Both steady and transient effects on the flow field are examined under low Re subsonic flow, assuming continuum behavior. The ideal gas equation is used to model gas density, while the isothermal Tait-Murnaghan equation models liquid density. For gases, compressibility effects are observed primarily when the inlet pressure ratio exceeds 0.1. The results show that these effects are less pronounced for liquids, even at elevated inlet pressure ratios. Additionally, a flow delay across the channel exhibits a first-order transient response. For liquid flow, this effect depends on the channel resistance, the total fluid volume within the channel, and the liquid's bulk properties, rather than the inlet pressure ratio.
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identifier_str_mv Elgack, M. E., Al-Souqi, K., Hamdan, M. O., & Abdelgawad, M. (2024). Compressibility effects in microchannel flows between two-parallel plates at low reynolds and mach numbers: Numerical analysis. International Journal of Thermofluids, 24, 100921. https://doi.org/10.1016/j.ijft.2024.100921
2666-2027
10.1016/j.ijft.2024.100921
language_invalid_str_mv en
network_acronym_str aus
network_name_str aus
oai_identifier_str oai:repository.aus.edu:11073/32570
publishDate 2024
publisher.none.fl_str_mv Elsevier
repository.mail.fl_str_mv
repository.name.fl_str_mv
repository_id_str
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
spelling Compressibility effects in microchannel flows between two-parallel plates at low reynolds and mach numbers: Numerical analysisMohammed, E. ElgackKhaled, Al-SouqiMohammad, O. HamdanMohamed, AbdelgawadLow-Mach-Number Compressible FlowCompressibility EffectsLow-Reynolds-Number FlowShallow MicrochannelMicrofluidicsUnder certain circumstances, flow in microchannels can exhibit compressibility effects even at Reynolds numbers (Re) around (below 2,300) and low Mach numbers (below 0.3). This is particularly true for gases, especially when the flow undergoes significant pressure changes or acceleration within the microchannel. This study investigates the compressibility effects encountered in two-parallel plates microchannels at these low Reynolds and Mach numbers, due to the high-pressure drop associated with the small scale of the microchannels. This uncommon flow is characterized by an exceptionally small channel diameter-to-length aspect ratio (∼10–3), resulting in a friction coefficient that deviates from the typical value for laminar flow between parallel plates (f = 96/Re). Both steady and transient effects on the flow field are examined under low Re subsonic flow, assuming continuum behavior. The ideal gas equation is used to model gas density, while the isothermal Tait-Murnaghan equation models liquid density. For gases, compressibility effects are observed primarily when the inlet pressure ratio exceeds 0.1. The results show that these effects are less pronounced for liquids, even at elevated inlet pressure ratios. Additionally, a flow delay across the channel exhibits a first-order transient response. For liquid flow, this effect depends on the channel resistance, the total fluid volume within the channel, and the liquid's bulk properties, rather than the inlet pressure ratio.Elsevier2025-12-23T11:02:20Z2025-12-23T11:02:20Z2024-11-24Peer-ReviewedPublished versioninfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfElgack, M. E., Al-Souqi, K., Hamdan, M. O., & Abdelgawad, M. (2024). Compressibility effects in microchannel flows between two-parallel plates at low reynolds and mach numbers: Numerical analysis. International Journal of Thermofluids, 24, 100921. https://doi.org/10.1016/j.ijft.2024.1009212666-2027https://hdl.handle.net/11073/3257010.1016/j.ijft.2024.100921enhttps://doi.org/10.1016/j.ijft.2024.100921Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/oai:repository.aus.edu:11073/325702025-12-23T11:19:59Z
spellingShingle Compressibility effects in microchannel flows between two-parallel plates at low reynolds and mach numbers: Numerical analysis
Mohammed, E. Elgack
Low-Mach-Number Compressible Flow
Compressibility Effects
Low-Reynolds-Number Flow
Shallow Microchannel
Microfluidics
status_str publishedVersion
title Compressibility effects in microchannel flows between two-parallel plates at low reynolds and mach numbers: Numerical analysis
title_full Compressibility effects in microchannel flows between two-parallel plates at low reynolds and mach numbers: Numerical analysis
title_fullStr Compressibility effects in microchannel flows between two-parallel plates at low reynolds and mach numbers: Numerical analysis
title_full_unstemmed Compressibility effects in microchannel flows between two-parallel plates at low reynolds and mach numbers: Numerical analysis
title_short Compressibility effects in microchannel flows between two-parallel plates at low reynolds and mach numbers: Numerical analysis
title_sort Compressibility effects in microchannel flows between two-parallel plates at low reynolds and mach numbers: Numerical analysis
topic Low-Mach-Number Compressible Flow
Compressibility Effects
Low-Reynolds-Number Flow
Shallow Microchannel
Microfluidics
url https://hdl.handle.net/11073/32570