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Modeling sinusoidal exhalation: An unsteady Reynolds-averaged Navier–Stokes-based approach for predicting breathing flow dynamics
Department of Automation and Process Engineering, The Arctic University of Norway, UiT 1, Tromsø.ORCID iD: 0000-0002-5897-6407
KTH, School of Architecture and the Built Environment (ABE), Civil and Architectural Engineering, Building Technology and Design.ORCID iD: 0009-0005-2738-6155
KTH, School of Architecture and the Built Environment (ABE), Civil and Architectural Engineering, Building Technology and Design. School of Business, Society and Engineering, Mälardalen University 3, Västerås.ORCID iD: 0000-0002-9361-1796
Department of Automation and Process Engineering, The Arctic University of Norway, UiT 1, Tromsø.ORCID iD: 0000-0002-0252-3476
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2025 (English)In: Physics of fluids, ISSN 1070-6631, E-ISSN 1089-7666, Vol. 37, no 8, article id 085223Article in journal (Refereed) Published
Abstract [en]

Accurate modeling of exhalation dynamics is essential in estimating infection rates. In this study, we analyzed the predictive capabilities of three Unsteady Reynolds-Averaged Navier–Stokes (URANS)-based turbulence models: Realizable k–ε, renormalization group (RNG) k–ε, and shear-stress transport (SST) k–ω for sinusoidal exhalation. The exhaled jet flow extends over a distance from the exhalation source, normalized by the exhalation source diameter, and was analyzed across the jet region. Furthermore, this region was divided into three sub-regions: near-field, transitional, and fully developed field for turbulence evaluation. These models were validated against time-resolved particle image velocimetry data and empirical measurements under quiescent ventilation conditions. Results from the centerline velocity decay profiles demonstrated that each model exhibited performance across the sub-regions of the exhaled jet. Using three performance metrics for quantitative validation, the RNG k–ε model demonstrated superior performance overall across the jet flow region. When sectioned into sub-regions, its performance is better in transitional and fully developed regions due to its enhanced strain-term formulation. Meanwhile, the SST k–ω model provides superior accuracy in near-wall shear and boundary–layer interactions. The Realizable k–ε model performs well in the transitional region but underperforms in the near-field and fully developed regions. These results advance the characterization of breath-generated flows, providing insights into airborne transmission dynamics that can inform the optimization of ventilation strategies and mitigation measures in indoor environments. Semi-empirical equations, derived using the best-performing region-specific URANS models, estimate centerline velocities during exhalation (0 < t < 2 s) in developed field regions.

Place, publisher, year, edition, pages
AIP Publishing , 2025. Vol. 37, no 8, article id 085223
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Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-370673DOI: 10.1063/5.0277035ISI: 001555539400001Scopus ID: 2-s2.0-105013759913OAI: oai:DiVA.org:kth-370673DiVA, id: diva2:2002135
Note

QC 20251003

Available from: 2025-09-29 Created: 2025-09-29 Last updated: 2025-10-06Bibliographically approved

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Hu, NanSadrizadeh, Sasan

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Owolabi, Jibola O.Hu, NanSadrizadeh, SasanKhawaja, Hassan A.Aganovic, Amar
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