Characterizing transport and deposition of particulate pollutants in a two-zone chamber using a Markov chain model combined with computational fluid dynamics. (English) Zbl 1481.82020
Summary: Understanding the distribution and spread of indoor airborne contaminants between rooms in a multi-zone space is crucial for protecting human health and indoor environmental control. Predicting the transmission of suddenly released particulate pollutants from one room to another in a rapid and precise manner is important for reducing or even eliminating the risk of cross contamination between occupants. In this study, we developed a modified Markov chain model that considers the effect of gravity to predict the dispersion and deposition of aerosol particles in a two-zone chamber. To perform particle phase simulations, the proposed model couples the data obtained from a steady-state flow field using the computational fluid dynamics (CFD) software Fluent with some codes that we developed in the MATLAB environment. Two examples based on previously reported experimental data were used to validate the proposed model. The results indicate that the proposed model is suitable for modeling the dynamic processes where airborne particles are released from constant and pulsed contaminant sources in multi-zone spaces with reasonable accuracy and computational efficiency. After analyzing particle exposure in the two-zone chamber, we found that the accumulated exposure level in the zone with the constant contaminant source always had a higher rate of increase than the other zones. However, the accumulated exposure level for the pulsed (instantaneous) source was inversely proportional to the air exchange rate for all zones. Compared with traditional CFD models and multi-zone models, our proposed model can balance the accuracy and efficiency when predicting the spread of particulate contaminants in multi-zone spaces by choosing appropriate grid resolution(s).
MSC:
| 82C70 | Transport processes in time-dependent statistical mechanics |
| 76T15 | Dusty-gas two-phase flows |
Keywords:
computational fluid dynamics; fast prediction; Markov chain model; multi-zone space; particle depositionReferences:
| [1] | Richmond-Bryant, J., Transport of exhaled particulate matter in airborne infection isolation rooms, Build. Environ., 44, 44-55 (2009) |
| [2] | You, S.; Wan, M. P., Particle concentration dynamics in the ventilation duct after an artificial release: for countering potential bioterrorist attack, J. Hazard. Mater., 267, 183-193 (2014) |
| [3] | Bourdin, D.; Mocho, P.; Desauziers, V.; Plaisance, H., Formaldehyde emission behavior of building materials: on-site measurements and modeling approach to predict indoor air pollution, J. Hazard. Mater., 280, 164-173 (2014) |
| [4] | He, Q.; Niu, J.; Gao, N.; Zhu, T.; Wu, J., CFD study of exhaled droplet transmission between occupants under different ventilation strategies in a typical office room, Build. Environ., 46, 397-408 (2011) |
| [5] | Zhao, B.; Wu, J., Effect of particle spatial distribution on particle deposition in ventilation rooms, J. Hazard. Mater., 170, 449-456 (2009) |
| [6] | Mui, K.; Wong, L.; Wu, C.; Lai, A. C., Numerical modeling of exhaled droplet nuclei dispersion and mixing in indoor environments, J. Hazard. Mater., 167, 736-744 (2009) |
| [7] | Li, K.; Gong, G., Numerical simulation of indoor suspension particles based on v2-f model, Appl. Math. Modell., 36, 2510-2520 (2012) · Zbl 1246.76146 |
| [8] | Choi, B.; Fletcher, C., Turbulent particle dispersion in an electrostatic precipitator, Appl. Math. Modell., 22, 1009-1021 (1998) |
| [9] | Clarke, J. A.; Hensen, J. L.M.; Negrao, C. O.R., Predicting indoor airflow by combining network, CFD, and thermal simulation, (16th AIVC Conf. Implementing the Results of Ventilation Research (1995), Palm Springs: Air Infiltration and Ventilation Centre (AIVC)), 145-154 |
| [10] | Dols, W. S., A tool for modeling airflow & contaminant transport, ASHRAE J., 43, 35 (2001) |
| [11] | Pelletret, R. Y.; Keilholz, W. P., COMIS 3.0 a new simulation environment for multizone air flow and pollutant transport modeling, (Proceedings of the Building Simulation, 1 (1997)), 65-72 |
| [12] | Feustel, H. E., COMIS—an international multizone air-flow and contaminant transport model, Energy Build., 30, 3-18 (1999) |
| [13] | Stuart, W. D.; Walton, G.; Denton, K., CONTAMW 1.0 User Manual (1997), NIST: NIST Gaithersburg, MD |
| [14] | Fariborz, H.; Chérif, M. A., A comprehensive validation of two airflow models - COMIS and CONTAM, Indoor Air, 6, 278-288 (2010) |
| [15] | Yuan, J.; Srebric, J., Transient prediction of contaminant distribution by introducing energy load calculations into multi-zone modeling, (Proceedings of the CIB World Building Congress, 2004 (2004)), 2-7 |
| [16] | Hu, B.; Freihaut, J.; Bahnfleth, W.; Aumpansub, P.; Thran, B., Modeling particle dispersion under human activity disturbance in a multizone indoor environment, J. Archit. Eng., 13, 187-193 (2007) |
| [17] | Rim, D.; Persily, A.; Emmerich, S.; Dols, W. S.; Wallace, L., Multi-zone modeling of size-resolved outdoor ultrafine particle entry into a test house, Atmos. Environ., 69, 219-230 (2013) |
| [18] | Wong, N. H.; Mahdavi, A.; Boonyakiat, J.; Lam, K. P., Detailed multi-zone air flow analysis in the early building design phase, Build. Environ., 38, 1-10 (2003) |
| [19] | Megri, A. C.; Haghighat, F., Zonal modeling for simulating indoor environment of buildings: review, recent developments, and applications, HVAC&R Res., 13, 887-905 (2007) |
| [20] | Wang, L. L.; Chen, Q., Evaluation of some assumptions used in multizone airflow network models, Build. Environ., 43, 1671-1677 (2008) |
| [21] | Schaelin, A.; Dorer, V.; Maas, J.v.d.; Moser, A., Improvement of multizone model predictions by detailed flow path values from CFD calculations, ASHRAE Trans. Am. Soc. Heat. Refrig. Airconditioning Eng., 99, 709-720 (1993) |
| [22] | Tan, G.; Glicksman, L. R., Application of integrating multi-zone model with CFD simulation to natural ventilation prediction, Energy Build., 37, 1049-1057 (2005) |
| [23] | Wang, L. L.; Dols, W. S.; Chen, Q., Using CFD capabilities of CONTAM 3.0 for simulating airflow and contaminant transport in and around buildings, HVAC&R Res., 16, 749-763 (2010) |
| [24] | Musser, A., An analysis of combined CFD and multizone IAQ model assembly issues, ASHRAE Trans., 107, 371-382 (2001) |
| [25] | Nicas, M., Markov modeling of contaminant concentrations in indoor air, AIHAJ-Am. Ind. Hyg. Assoc., 61, 484-491 (2000) |
| [26] | Musy, M., Génération Automatique De Modèles Zonaux Pour L’étude Du Comportement Thermo-Aéraulique Des Bâtiments (1999), Université de La Rochelle |
| [27] | Mei, X.; Gong, G., Predicting airborne particle deposition by a modified Markov chain model for fast estimation of potential contaminant spread, Atmos. Environ., 185, 137-146 (2018) |
| [28] | Mei, X.; Gong, G.; Su, H.; Peng, P.; Liu, J.; Xie, H., A grid-merging operation to accelerate the Markov chain model in predicting steady-state and transient transmission of airborne particles, Build. Environ., 122, 82-93 (2017) |
| [29] | Chen, C.; Lin, C. H.; Long, Z.; Chen, Q., Predicting transient particle transport in enclosed environments with the combined computational fluid dynamics and Markov chain method, Indoor Air, 24, 81-92 (2014) |
| [30] | Chen, C.; Liu, W.; Lin, C.-H.; Chen, Q., A Markov chain model for predicting transient particle transport in enclosed environments, Build. Environ., 90, 30-36 (2015) |
| [31] | Lai, A. C.; Wang, K.; Chen, F., Experimental and numerical study on particle distribution in a two-zone chamber, Atmos. Environ., 42, 1717-1726 (2008) |
| [32] | Lu, W.; Howarth, A. T.; Adam, N.; Riffat, S. B., Modelling and measurement of airflow and aerosol particle distribution in a ventilated two-zone chamber, Build. Environ., 31, 417-423 (1996) |
| [33] | Fluent 6.3 User’s Guide (2006), Lebabon |
| [34] | Yakhot, V.; Orszag, S.; Thangam, S.; Gatski, T.; Speziale, C., Development of turbulence models for shear flows by a double expansion technique, Phys. Fluids A Fluid Dyn., 4, 1510-1520 (1992) · Zbl 0762.76044 |
| [35] | Yakhot, V.; Orszag, S. A., Renormalization group analysis of turbulence. I. Basic theory, J. Sci. Comput., 1, 3-51 (1986) · Zbl 0648.76040 |
| [36] | Yakhot, V.; Smith, L. M., The renormalization group, the ɛ-expansion and derivation of turbulence models, J. Sci. Comput., 7, 35-61 (1992) · Zbl 0757.76019 |
| [37] | Alfonsi, G., Reynolds-averaged navier – stokes equations for turbulence modeling, Appl. Mech. Rev., 62, Article 040802 pp. (2009) |
| [38] | Argyropoulos, C.; Markatos, N., Recent advances on the numerical modelling of turbulent flows, Appl. Math. Modell., 39, 693-732 (2015) · Zbl 1432.76117 |
| [39] | Stavrakakis, G.; Zervas, P.; Sarimveis, H.; Markatos, N., Development of a computational tool to quantify architectural-design effects on thermal comfort in naturally ventilated rural houses, Build. Environ., 45, 65-80 (2010) |
| [40] | Stavrakakis, G.; Koukou, M.; Vrachopoulos, M. G.; Markatos, N., Natural cross-ventilation in buildings: building-scale experiments, numerical simulation and thermal comfort evaluation, Energy Build., 40, 1666-1681 (2008) |
| [41] | Stavrakakis, G.; Karadimou, D.; Zervas, P.; Sarimveis, H.; Markatos, N., Selection of window sizes for optimizing occupational comfort and hygiene based on computational fluid dynamics and neural networks, Build. Environ., 46, 298-314 (2011) |
| [42] | Zhai, Z. J.; Zhang, Z.; Zhang, W.; Chen, Q. Y., Evaluation of various turbulence models in predicting airflow and turbulence in enclosed environments by CFD: part 1-summary of prevalent turbulence models, HVAC&R Res., 13, 853-870 (2007) |
| [43] | Zhang, Z.; Zhang, W.; Zhai, Z. J.; Chen, Q. Y., Evaluation of various turbulence models in predicting airflow and turbulence in enclosed environments by CFD: part 2-Comparison with experimental data from literature, HVAC&R Res., 13, 871-886 (2007) |
| [44] | Argyropoulos, C. D.; Elkhalifa, S.; Fthenou, E.; Efthimiou, G. C.; Andronopoulos, S.; Venetsanos, A.; Kovalets, I. V.; Kakosimos, K. E., Source reconstruction of airborne toxics based on acute health effects information, Sci. Rep., 8, 5596 (2018) |
| [45] | Argyropoulos, C.; Ashraf, A.; Markatos, N.; Kakosimos, K., Mathematical modelling and computer simulation of toxic gas building infiltration, Process Saf. Environ. Protect., 111, 687-700 (2017) |
| [46] | Valero, N.; Aguilera, I.; Llop, S.; Esplugues, A.; de Nazelle, A.; Ballester, F.; Sunyer, J., Concentrations and determinants of outdoor, indoor and personal nitrogen dioxide in pregnant women from two Spanish birth cohorts, Environ. Int., 35, 1196-1201 (2009) |
| [47] | Duan, N., Models for human exposure to air pollution, Environ. Int., 8, 305-309 (1982) |
| [48] | Choi, J. I.; Edwards, J. R., Large‐eddy simulation of human‐induced contaminant transport in room compartments, Indoor Air, 22, 77-87 (2012) |
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