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Rjiba IB, Tóth-Nagy G, Rostási Á, Gyurácz-Németh P, Sebestyén V. How should climate actions be planned? Model lessons from published action plans. JOURNAL OF ENVIRONMENTAL MANAGEMENT 2024; 370:122648. [PMID: 39378801 DOI: 10.1016/j.jenvman.2024.122648] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/08/2024] [Revised: 09/12/2024] [Accepted: 09/22/2024] [Indexed: 10/10/2024]
Abstract
To effectively protect against the increasingly pervasive effects of climate change, countries and cities around the world are tasked with formulating and implementing climate actions that effectively respond to the challenges ahead. However, choosing the optimal climate actions is complex, since it is necessary to consider many external impacts as early on as the planning phase. Our novel methodology uncovers and integrates into first-of-its-kind decision support framework the identified climate actions of 443 European cities (from 32 countries) and the city structure-related features that influence the basic success of strategy creation into a first-of-its-kind decision support framework. Depending on their budget, population density, development and energy consumption portfolio, the results highlight that the analyzed European cities need to adopt a different way of thinking. The research results lay the foundation for the decision support of evidence-based climate action planning and contribute towards strengthening the role of cities worldwide in the fight against climate change in the future.
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Affiliation(s)
- Iskander Ben Rjiba
- Sustainability Solutions Research Lab, University of Pannonia, Egyetem str. 10, Veszprém, H-8200, Hungary.
| | - Georgina Tóth-Nagy
- Sustainability Solutions Research Lab, University of Pannonia, Egyetem str. 10, Veszprém, H-8200, Hungary
| | - Ágnes Rostási
- Research Institute of Biomolecular and Chemical Engineering, University of Pannonia, Egyetem str. 10, Veszprém, H-8200, Hungary
| | - Petra Gyurácz-Németh
- Department of Tourism, University of Pannonia, Egyetem str. 10, Veszprém, H-8200, Hungary
| | - Viktor Sebestyén
- Sustainability Solutions Research Lab, University of Pannonia, Egyetem str. 10, Veszprém, H-8200, Hungary
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2
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Alqarni Z, Rezgui Y, Petri I, Ghoroghi A. Viral infection transmission and indoor air quality: A systematic review. THE SCIENCE OF THE TOTAL ENVIRONMENT 2024; 923:171308. [PMID: 38432379 DOI: 10.1016/j.scitotenv.2024.171308] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/14/2023] [Revised: 02/03/2024] [Accepted: 02/25/2024] [Indexed: 03/05/2024]
Abstract
Respiratory disease transmission in indoor environments presents persistent challenges for health authorities, as exemplified by the recent COVID-19 pandemic. This underscores the urgent necessity to investigate the dynamics of viral infection transmission within indoor environments. This systematic review delves into the methodologies of respiratory infection transmission in indoor settings and explores how the quality of indoor air (IAQ) can be controlled to alleviate this risk while considering the imperative of sustainability. Among the 2722 articles reviewed, 178 were retained based on their focus on respiratory viral infection transmission and IAQ. Fifty eight articles delved into SARS-CoV-2 transmission, 21 papers evaluated IAQ in contexts of other pandemics, 53 papers assessed IAQ during the SARS-CoV-2 pandemic, and 46 papers examined control strategies to mitigate infectious transmission. Furthermore, of the 46 papers investigating control strategies, only nine considered energy consumption. These findings highlight clear gaps in current research, such as analyzing indoor air and surface samples for specific indoor environments, oversight of indoor and outdoor parameters (e.g., temperature, relative humidity (RH), and building orientation), neglect of occupancy schedules, and the absence of considerations for energy consumption while enhancing IAQ. This study distinctly identifies the indoor environmental conditions conducive to the thriving of each respiratory virus, offering IAQ trade-offs to mitigate the risk of dominant viruses at any given time. This study argues that future research should involve digital twins in conjunction with machine learning (ML) techniques. This approach aims to enhance IAQ by analyzing the transmission patterns of various respiratory viruses while considering energy consumption.
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Affiliation(s)
- Zahi Alqarni
- School of Engineering, Cardiff University, Cardiff CF24 3AA, UK; School of Computer Science, King Khalid University, Abha 62529, Saudi Arabia.
| | - Yacine Rezgui
- School of Engineering, Cardiff University, Cardiff CF24 3AA, UK
| | - Ioan Petri
- School of Engineering, Cardiff University, Cardiff CF24 3AA, UK
| | - Ali Ghoroghi
- School of Engineering, Cardiff University, Cardiff CF24 3AA, UK
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3
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Liu H, Liu Z, He J, Hu C, Rong R, Han H, Wang L, Wang D. Reducing airborne transmission of SARS-CoV-2 by an upper-room ultraviolet germicidal irradiation system in a hospital isolation environment. ENVIRONMENTAL RESEARCH 2023; 237:116952. [PMID: 37619635 DOI: 10.1016/j.envres.2023.116952] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/14/2023] [Revised: 08/08/2023] [Accepted: 08/21/2023] [Indexed: 08/26/2023]
Abstract
Upper-room ultraviolet germicidal irradiation (UVGI) technology can potentially inhibit the transmission of airborne disease pathogens. There is a lack of quantitative evaluation of the performance of the upper-room UVGI for severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) airborne transmission under the combined effects of ventilation and UV irradiation. Therefore, this study aimed to explore the performance of the upper-room UVGI system for reducing SARS-CoV-2 virus transmission in a hospital isolation environment. Computational fluid dynamics and virological data on SARS-CoV-2 were integrated to obtain virus aerosol exposure in the hospital isolation environment containing buffer rooms, wards and bathrooms. The UV inactivation model was applied to investigate the effects of ventilation rate, irradiation flux and irradiation height on the upper-room UVGI performance. The results showed that increasing ventilation rate from 8 to 16 air changes per hour (ACH) without UVGI obtained 54.32% and 45.63% virus reduction in the wards and bathrooms, respectively. However, the upper-room UVGI could achieve 90.43% and 99.09% virus disinfection, respectively, with the ventilation rate of 8 ACH and the irradiation flux of 10 μW cm-2. Higher percentage of virus could be inactivated by the upper-room UVGI at a lower ventilation rate; the rate of improvement of UVGI elimination effect slowed down with the increase of irradiation flux. Increase irradiation height at lower ventilation rate was more effective in improving the UVGI performance than the increase in irradiation flux at smaller irradiation height. These results could provide theoretical support for the practical application of UVGI in hospital isolation environments.
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Affiliation(s)
- Haiyang Liu
- Department of Power Engineering, North China Electric Power University, Baoding, Hebei, 071003, PR China
| | - Zhijian Liu
- Department of Power Engineering, North China Electric Power University, Baoding, Hebei, 071003, PR China.
| | - Junzhou He
- Department of Power Engineering, North China Electric Power University, Baoding, Hebei, 071003, PR China
| | - Chenxing Hu
- School of Mechanical Engineering, Beijing Institute of Technology, Beijing, 100081, China
| | - Rui Rong
- Department of Power Engineering, North China Electric Power University, Baoding, Hebei, 071003, PR China
| | - Hao Han
- State Key Laboratory of NBC Protection for Civilian, Beijing, 100191, China.
| | - Lingyun Wang
- State Key Laboratory of NBC Protection for Civilian, Beijing, 100191, China
| | - Desheng Wang
- State Key Laboratory of NBC Protection for Civilian, Beijing, 100191, China
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4
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Moghadam TT, Ochoa Morales CE, Lopez Zambrano MJ, Bruton K, O'Sullivan DTJ. Energy efficient ventilation and indoor air quality in the context of COVID-19 - A systematic review. RENEWABLE & SUSTAINABLE ENERGY REVIEWS 2023; 182:113356. [PMID: 37220488 PMCID: PMC10186986 DOI: 10.1016/j.rser.2023.113356] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 02/01/2023] [Revised: 05/02/2023] [Accepted: 05/08/2023] [Indexed: 05/25/2023]
Abstract
New COVID-19 ventilation guidelines have resulted in higher energy consumption to maintain indoor air quality (IAQ), and energy efficiency has become a secondary concern. Despite the significance of the studies conducted on COVID-19 ventilation requirements, a comprehensive investigation of the associated energy challenges has not been discussed. This study aims to present a critical systematic review of the Coronavirus viral spreading risk mitigation through ventilation systems (VS) and its relation to energy use. COVID-19 heating, ventilation and air conditioning (HVAC)-related countermeasures proposed by industry professionals have been reviewed and their influence on operating VS and energy consumption have also been discussed. A critical review analysis was then conducted on publications from 2020 to 2022. Four research questions (RQs) have been selected for this review concerning i) maturity of the existing literature, ii) building types and occupancy profile, iii) ventilation types and effective control strategies and iv) challenges and related causes. The results reveal that employing HVAC auxiliary equipment is mostly effective and increased fresh air supply is the most significant challenge associated with increased energy consumption due to maintaining IAQ. Future studies should focus on novel approaches toward solving the apparently conflicting objectives of minimizing energy consumption and maximizing IAQ. Also, effective ventilation control strategies should be assessed in various buildings with different occupancy densities. The implications of this study can be useful for future development of this topic not only to enhance the energy efficiency of the VS but also to enable more resiliency and health in buildings.
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Affiliation(s)
- Talie T Moghadam
- Intelligent Efficiency Research Group (IERG), University College Cork, Cork, Ireland
| | | | | | - Ken Bruton
- Intelligent Efficiency Research Group (IERG), University College Cork, Cork, Ireland
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5
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Buonomano A, Forzano C, Giuzio GF, Palombo A. New ventilation design criteria for energy sustainability and indoor air quality in a post Covid-19 scenario. RENEWABLE & SUSTAINABLE ENERGY REVIEWS 2023; 182:113378. [PMID: 37250178 PMCID: PMC10209740 DOI: 10.1016/j.rser.2023.113378] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 01/20/2023] [Revised: 05/09/2023] [Accepted: 05/18/2023] [Indexed: 05/31/2023]
Abstract
The Covid-19 outbreak raised great attention to the importance of indoor air quality in buildings. Even if the Covid-19 epidemic is nearing an end, all stakeholders agree that increasing outside air flow rates is beneficial for decreasing the likelihood of contagion, lowering the risk of future pandemics, and enhancing the general safety of the interior environment. Indeed, diverse concerns raised about whether the ventilation standards in place are still adequate. In this context, this research intends to assess the suitability of current ventilation standards in addressing the current pandemic scenario and to offer novel criteria and guidelines for the design and operation of HVAC systems, as well as useful guidance for the creation of future ventilation standards in a post-Covid-19 scenario. To that end, a comprehensive analysis of the ANSI/ASHRAE 62.1 is carried out, with an emphasis on its effectiveness in reducing the risk of infection. Furthermore, the efficacy of various ventilation strategies in reducing the likelihood of contagion has been investigated. Finally, because building ventilation is inextricably linked to energy consumption, the energy and economic implications of the proposed enhancements have been assessed. To carry out the described analysis, a novel method was developed that combines Building Energy Modelling (BEM) and virus contagion risk assessment. The analyses conducted produced interesting insights and criteria for ventilation system design and operation, as well as recommendations for the development of future standards.
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Affiliation(s)
- A Buonomano
- Department of Industrial Engineering, University of Naples Federico II, P.le Tecchio 80, 80125, Naples, Italy
| | - C Forzano
- Department of Industrial Engineering, University of Naples Federico II, P.le Tecchio 80, 80125, Naples, Italy
| | - G F Giuzio
- Department of Industrial Engineering, University of Naples Federico II, P.le Tecchio 80, 80125, Naples, Italy
| | - A Palombo
- Department of Industrial Engineering, University of Naples Federico II, P.le Tecchio 80, 80125, Naples, Italy
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6
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Jiang Z, Deng Z, Wang X, Dong B. PANDEMIC: Occupancy driven predictive ventilation control to minimize energy consumption and infection risk. APPLIED ENERGY 2023; 334:120676. [PMID: 36714219 PMCID: PMC9867897 DOI: 10.1016/j.apenergy.2023.120676] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/03/2022] [Revised: 01/06/2023] [Accepted: 01/08/2023] [Indexed: 05/31/2023]
Abstract
During the SARS-CoV-2 (COVID-19) pandemic, governments around the world have formulated policies requiring ventilation systems to operate at a higher outdoor fresh air flow rate for a sufficient time, which has led to a sharp increase in building energy consumption. Therefore, it is necessary to identify an energy-efficient ventilation strategy to reduce the risk of infection. In this study, we developed an occupant-number-based model predictive control (OBMPC) algorithm for building ventilation systems. First, we collected the occupancy and Heating, ventilation, and air conditioning system (HVAC) data from March to July 2021. Then, four different models (Auto regression moving average-based multilayer perceptron (ARMA_MLP), Recurrent neural networks (RNN), Long short-term memory networks (LSTM), and Nonhomogeneous Markov with change points detection (NH_Markov)) were used to predict the number of room occupants from 15 min to 24 h ahead with an interval output. We found that each model could predict the number of occupants with 85 % accuracy using a one-person offset. The accuracy of 15 min of the ahead prediction could reach 95 % with a one-person offset, but none of them could track abrupt changes. The occupancy prediction results were used to calculate the ventilation demand using the Wells-Riley equation, and the upper bound can maintain an infection risk lower than 2 % for 93 % of the day. This OBMPC model could reduce the coil load by 52.44 % and shift the peak load by 3 h up to 5 kW compared with 24 × 7 h full outdoor air (OA) system when people wear masks in the space. The occupancy prediction uncertainty could cause a 9 % to 26 % difference in demand ventilation, a 0.3 °C to 2.4 °C difference in zone temperature, a 28.5 % to 44.5 % difference in outdoor airflow rate, and a 10.7 % to 28.2 % difference in coil load.
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Affiliation(s)
- Zixin Jiang
- Department of Mechanical & Aerospace Engineering, Syracuse University, Syracuse, NY 13244, United States
- Built Environment Science and Technology (BEST) Lab, Syracuse University, Syracuse, NY 13244, United States
| | - Zhipeng Deng
- Department of Mechanical & Aerospace Engineering, Syracuse University, Syracuse, NY 13244, United States
- Built Environment Science and Technology (BEST) Lab, Syracuse University, Syracuse, NY 13244, United States
| | - Xuezheng Wang
- Department of Mechanical & Aerospace Engineering, Syracuse University, Syracuse, NY 13244, United States
- Built Environment Science and Technology (BEST) Lab, Syracuse University, Syracuse, NY 13244, United States
| | - Bing Dong
- Department of Mechanical & Aerospace Engineering, Syracuse University, Syracuse, NY 13244, United States
- Built Environment Science and Technology (BEST) Lab, Syracuse University, Syracuse, NY 13244, United States
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Cho J, Kim J, Kim Y. Development of a non-contact mobile screening center for infectious diseases: Effects of ventilation improvement on aerosol transmission prevention. SUSTAINABLE CITIES AND SOCIETY 2022; 87:104232. [PMID: 36212168 PMCID: PMC9526512 DOI: 10.1016/j.scs.2022.104232] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 07/06/2022] [Revised: 09/25/2022] [Accepted: 09/30/2022] [Indexed: 06/16/2023]
Abstract
Under the global landscape of the prolonged COVID-19 pandemic, the number of individuals who need to be tested for COVID-19 through screening centers is increasing. However, the risk of viral infection during the screening process remains significant. To limit cross-infection in screening centers, a non-contact mobile screening center (NCMSC) that uses negative pressure booths to improve ventilation and enable safe, fast, and convenient COVID-19 testing is developed. This study investigates aerosol transmission and ventilation control for eliminating cross-infection and for rapid virus removal from the indoor space using numerical analysis and experimental measurements. Computational fluid dynamics (CFD) simulations were used to evaluate the ventilation rate, pressure differential between spaces, and virus particle removal efficiency in NCMSC. We also characterized the airflow dynamics of NCMSC that is currently being piloted using particle image velocimetry (PIV). Moreover, design optimization was performed based on the air change rates and the ratio of supply air (SA) to exhaust air (EA). Three ventilation strategies for preventing viral transmission were tested. Based on the results of this study, standards for the installation and operation of a screening center for infectious diseases are proposed.
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Key Words
- ACH, Air Changes per Hour
- AR, Anteroom
- Aerosol transmission
- CFD, Computational Fluid Dynamics
- Computational fluid dynamics (CFD)
- EA, Eexhaust Air
- ER, Examination Room
- HCW, Health Care Worker
- Infectious disease
- NCMSC, Non-Contact Mobile Screening Center
- OA, Outdoor Air
- PIV, Particle Image Velocimetry
- Particle image velocimetry (PIV)
- SA, Supply Air
- SCB, Specimen Collection Booth
- Screening center
- TA, Transfer Air
- Ventilation strategy
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Affiliation(s)
- Jinkyun Cho
- Department of Building and Plant Engineering, Hanbat National University, Daejeon 34158, Republic of Korea
| | - Jinho Kim
- Department of Fire Protection, Safety and Facilities, Suwon Science College, Hwasung 18516, Republic of Korea
| | - Yundeok Kim
- Department of Architectural Engineering, Woosong University, Daejeon 34606, Republic of Korea
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8
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Liu Z, Zhou H, Ding N, Jia J, Su X, Ren H, Hou X, Zhang W, Liu C. Modeling the effects of vaccination, nucleic acid testing, and face mask wearing interventions against COVID-19 in large sports events. Front Public Health 2022; 10:1009152. [PMID: 36438220 PMCID: PMC9682230 DOI: 10.3389/fpubh.2022.1009152] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/01/2022] [Accepted: 10/24/2022] [Indexed: 11/11/2022] Open
Abstract
The transmission of SARS-CoV-2 leads to devastating COVID-19 infections around the world, which has affected both human health and the development of industries dependent on social gatherings. Sports events are one of the subgroups facing great challenges. The uncertainty of COVID-19 transmission in large-scale sports events is a great barrier to decision-making with regard to reopening auditoriums. Policymakers and health experts are trying to figure out better policies to balance audience experiences and COVID-19 infection control. In this study, we employed the generalized SEIR model in conjunction with the Wells-Riley model to estimate the effects of vaccination, nucleic acid testing, and face mask wearing on audience infection control during the 2021 Chinese Football Association Super League from 20 April to 5 August. The generalized SEIR modeling showed that if the general population were vaccinated by inactive vaccines at an efficiency of 0.78, the total number of infectious people during this time period would decrease from 43,455 to 6,417. We assumed that the general population had the same odds ratio of entering the sports stadiums and becoming the audience. Their infection probabilities in the stadium were further estimated by the Wells-Riley model. The results showed that if all of the 30,000 seats in the stadium were filled by the audience, 371 audience members would have become infected during the 116 football games in the 2021 season. The independent use of vaccination and nucleic acid testing would have decreased this number to 79 and 118, respectively. The combined use of nucleic acid testing and vaccination or face mask wearing would have decreased this number to 14 and 34, respectively. The combined use of all three strategies could have further decreased this number to 0. According to the modeling results, policymakers can consider the combined use of vaccination, nucleic acid testing, and face mask wearing to protect audiences from infection when holding sports events, which could create a balance between audience experiences and COVID-19 infection control.
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Affiliation(s)
- Zeting Liu
- Department of Mathematic Science, School of Sport Engineering, Beijing Sport University, Beijing, China
| | - Huixuan Zhou
- Department of Physical Fitness and Health, School of Sport Science, Beijing Sport University, Beijing, China,Key Laboratory of Sports and Physical Health, Ministry of Education, Beijing Sport University, Beijing, China,*Correspondence: Huixuan Zhou
| | - Ningxin Ding
- School of Government, Wellington School of Business and Government, Victoria University of Wellington, Wellington, New Zealand
| | - Jihua Jia
- Department of Physical Fitness and Health, School of Sport Science, Beijing Sport University, Beijing, China
| | - Xinhua Su
- Department of Mathematic Science, School of Sport Engineering, Beijing Sport University, Beijing, China
| | - Hong Ren
- Department of Physical Fitness and Health, School of Sport Science, Beijing Sport University, Beijing, China
| | - Xiao Hou
- Department of Physical Fitness and Health, School of Sport Science, Beijing Sport University, Beijing, China,Key Laboratory of Sports and Physical Health, Ministry of Education, Beijing Sport University, Beijing, China
| | - Wei Zhang
- Department of Chemical Drug Control, China National Institute for Food and Drug Control, Beijing, China
| | - Chenzhe Liu
- Department of Physical Fitness and Health, School of Sport Science, Beijing Sport University, Beijing, China
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Barone G, Buonomano A, Forzano C, Giuzio GF, Palombo A. Energy, economic, and environmental impacts of enhanced ventilation strategies on railway coaches to reduce Covid-19 contagion risks. ENERGY (OXFORD, ENGLAND) 2022; 256:124466. [PMID: 35754761 PMCID: PMC9212767 DOI: 10.1016/j.energy.2022.124466] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 12/15/2021] [Revised: 05/04/2022] [Accepted: 06/03/2022] [Indexed: 06/15/2023]
Abstract
In the last years, the Covid-19 outbreak raised great awareness about ventilation system performance in confined spaces. Specifically, the heating, ventilation, and air conditioning system design and operating parameters, such as air change per hour, air recirculation ratio, filtration device performance, and vents location, play a crucial role in reducing the spread of viruses, moulds, bacteria, and general pollutants. Concerning the transport sector, due to the impracticability of social distancing, and the relatively loose requirements of ventilation standards, the SARS-COV-19 outbreak brought a reduction of payload (up to 50%) for different carriers. Specifically, this has been particularly severe for the railway sector, where train coaches are typically characterized by relatively elevated occupancy and high recirculation ratios. In this framework, to improve the Indoor Air Quality and reduce the Covid-19 contagion risk in railway carriages, the present paper investigates the energy, economic and environmental feasibility of diverse ventilation strategies. To do so, a novel dynamic simulation tool for the complete dynamic performance investigation of trains was developed in an OpenStudio environment. To assess the Covid-19 contagion risk connected to the investigated scenarios, the Wells-Riley model has been adopted. To prove the proposed approach's capabilities and show the Covid-19 infection risk reduction potentially achievable by varying the adopted ventilation strategies, a suitable case study related to an existing medium-distance train operating in South/Central Italy is presented. The conducted numerical simulations return interesting results providing also useful design criteria.
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Affiliation(s)
- Giovanni Barone
- Department of Industrial Engineering, University of Naples Federico II, Naples, Italy
| | - Annamaria Buonomano
- Department of Industrial Engineering, University of Naples Federico II, Naples, Italy
- Department of Building, Civil and Environmental Engineering, Concordia University, Montreal, Canada
| | - Cesare Forzano
- Department of Industrial Engineering, University of Naples Federico II, Naples, Italy
| | | | - Adolfo Palombo
- Department of Industrial Engineering, University of Naples Federico II, Naples, Italy
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10
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Faulkner CA, Castellini JE, Lou Y, Zuo W, Lorenzetti DM, Sohn MD. Tradeoffs among indoor air quality, financial costs, and CO 2 emissions for HVAC operation strategies to mitigate indoor virus in U.S. office buildings. BUILDING AND ENVIRONMENT 2022; 221:109282. [PMID: 35965917 PMCID: PMC9358780 DOI: 10.1016/j.buildenv.2022.109282] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/31/2022] [Revised: 06/01/2022] [Accepted: 06/08/2022] [Indexed: 05/29/2023]
Abstract
Adapting building operation during the COVID-19 pandemic to improve indoor air quality (IAQ) while ensuring sustainable solutions in terms of costs and CO2 emissions is challenging and limited in literature. Our previous study investigated different HVAC operation strategies, including increased filtration using MERV 10, MERV 13, or HEPA filters, as well as supplying 100% outdoor air into buildings for a system initially sized for MERV 10 filtration. This paper significantly extends that research by systematically analyzing the potential financial and environmental impact for different locations in the U.S. The previous medium office building system model is improved to account for operation in different climates. New evaluation metrics are created to consider the comprehensive impact of improving IAQ on costs and CO2 emissions, using dynamic emission factors for electricity generation depending on the location. HVAC operation strategies are studied in five different locations across the United States, with distinct climates and electricity sources. In four of the five locations, MERV 13 filtration offers the best improvement in IAQ per increase in costs and emissions relative to MERV 10. The exception is the mildest climate of San Diego, where use of 100% outdoor air provides the best IAQ with a limited increase in costs and emissions. A system not sized for HEPA filtration can lead to increased costs and emissions without much improvement in IAQ.
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Affiliation(s)
- Cary A Faulkner
- Department of Mechanical Engineering, University of Colorado Boulder, UCB 427, Boulder, 80309, CO, USA
| | - John E Castellini
- Department of Mechanical Engineering, University of Colorado Boulder, UCB 427, Boulder, 80309, CO, USA
| | - Yingli Lou
- Department of Civil, Environmental and Architectural Engineering, University of Colorado Boulder, UCB 428, Boulder, 80309, CO, USA
| | - Wangda Zuo
- Department of Architectural Engineering, Pennsylvania State University, 104 Engineering Unit A, University Park, 16802, PA, USA
- National Renewable Energy National Laboratory, Golden, 80401, CO, USA
| | - David M Lorenzetti
- Energy Analysis and Environmental Impacts Division, Lawrence Berkeley, USA
| | - Michael D Sohn
- Energy Analysis and Environmental Impacts Division, Lawrence Berkeley, USA
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11
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Zhuang C, Choudhary R, Mavrogianni A. Probabilistic occupancy forecasting for risk-aware optimal ventilation through autoencoder Bayesian deep neural networks. BUILDING AND ENVIRONMENT 2022; 219:109207. [PMID: 36247734 PMCID: PMC9553470 DOI: 10.1016/j.buildenv.2022.109207] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/02/2022] [Revised: 04/25/2022] [Accepted: 05/12/2022] [Indexed: 06/01/2023]
Abstract
Ventilation plays a noteworthy role in maintaining a healthy, comfortable and energy-efficient indoor environment and mitigating the risk of aerosol transmission and disease infection (e.g., SARS-COV-2). In most commercial and office buildings, demand-controlled ventilation (DCV) systems are widely utilized to conserve energy based on occupancy. However, as the presence of occupants is often inherently stochastic, accurate occupancy prediction is challenging. This study, therefore, proposes an autoencoder Bayesian Long Short-term Memory neural network (LSTM) model for probabilistic occupancy prediction, taking account of model misspecification, epistemic uncertainty, and aleatoric uncertainty. Performances of the proposed models are evaluated using real data in an educational building at the University of Cambridge, UK. The models trained on data of one open-plan space are used to predict occupant numbers for other spaces (with similar layout and function) in the same building. The probabilistic occupant profiles are then used for estimating optimal ventilation rates for two scenarios (i.e., normal DCV mode for energy conservation and anti-infection mode for virus transmission prevention). Results show that, during the test period, for the 1-h ahead prediction, the proposed model achieved better performance with up to 5.8% mean absolute percentage error reduction than the traditional LSTM model. More flexible alternatives for ventilation can be offered by the proposed risk-aware decision-making schemes serving different purposes under real operation. The findings from this study provide new occupancy forecasting solutions and explore the potential of probabilistic decision making for building ventilation optimization.
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Affiliation(s)
- Chaoqun Zhuang
- Data-centric Engineering, The Alan Turing Institute, London, United Kingdom
- Energy Efficient Cities Initiative, Department of Engineering, University of Cambridge, Cambridge, United Kingdom
| | - Ruchi Choudhary
- Data-centric Engineering, The Alan Turing Institute, London, United Kingdom
- Energy Efficient Cities Initiative, Department of Engineering, University of Cambridge, Cambridge, United Kingdom
| | - Anna Mavrogianni
- Institute for Environmental Design and Engineering, Bartlett Faculty of the Built Environment, University College London, London, United Kingdom
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12
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Asif Z, Chen Z, Stranges S, Zhao X, Sadiq R, Olea-Popelka F, Peng C, Haghighat F, Yu T. Dynamics of SARS-CoV-2 spreading under the influence of environmental factors and strategies to tackle the pandemic: A systematic review. SUSTAINABLE CITIES AND SOCIETY 2022; 81:103840. [PMID: 35317188 PMCID: PMC8925199 DOI: 10.1016/j.scs.2022.103840] [Citation(s) in RCA: 14] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/14/2021] [Revised: 03/10/2022] [Accepted: 03/12/2022] [Indexed: 05/05/2023]
Abstract
COVID-19 is deemed as the most critical world health calamity of the 21st century, leading to dramatic life loss. There is a pressing need to understand the multi-stage dynamics, including transmission routes of the virus and environmental conditions due to the possibility of multiple waves of COVID-19 in the future. In this paper, a systematic examination of the literature is conducted associating the virus-laden-aerosol and transmission of these microparticles into the multimedia environment, including built environments. Particularly, this paper provides a critical review of state-of-the-art modelling tools apt for COVID-19 spread and transmission pathways. GIS-based, risk-based, and artificial intelligence-based tools are discussed for their application in the surveillance and forecasting of COVID-19. Primary environmental factors that act as simulators for the spread of the virus include meteorological variation, low air quality, pollen abundance, and spatial-temporal variation. However, the influence of these environmental factors on COVID-19 spread is still equivocal because of other non-pharmaceutical factors. The limitations of different modelling methods suggest the need for a multidisciplinary approach, including the 'One-Health' concept. Extended One-Health-based decision tools would assist policymakers in making informed decisions such as social gatherings, indoor environment improvement, and COVID-19 risk mitigation by adapting the control measurements.
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Affiliation(s)
- Zunaira Asif
- Department of Building, Civil and Environmental Engineering, Concordia University, Montreal, Canada
| | - Zhi Chen
- Department of Building, Civil and Environmental Engineering, Concordia University, Montreal, Canada
| | - Saverio Stranges
- Department of Epidemiology and Biostatistics, Western University, Ontario, Canada
- Department of Precision Health, Luxembourg Institute of Health, Strassen, Luxembourg
| | - Xin Zhao
- Department of Animal Science, McGill University, Montreal, Canada
| | - Rehan Sadiq
- School of Engineering (Okanagan Campus), University of British Columbia, Kelowna, BC, Canada
| | | | - Changhui Peng
- Department of Biological Sciences, University of Quebec in Montreal, Canada
| | - Fariborz Haghighat
- Department of Building, Civil and Environmental Engineering, Concordia University, Montreal, Canada
| | - Tong Yu
- Department of Civil and Environmental Engineering, University of Alberta, Canada
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13
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Numerical Evaluation of a Novel Vertical Drop Airflow System to Mitigate Droplet Transmission in Trains. ATMOSPHERE 2022. [DOI: 10.3390/atmos13050829] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
Owing to the outbreak of COVID-19, researchers are exploring methods to prevent contact and non-contact infections that occur via multiple transmission routes. However, studies on preventing infections caused by droplet transmission in public transportation are insufficient. To prevent the spread of infectious diseases, a new ventilation system in railway vehicles must be developed. In this study, a novel vertical drop airflow (VDA) system is proposed to mitigate the effect of droplet transmission in a high-speed train cabin. The droplet transmission route and droplet fate are investigated using three-dimensional fluid dynamics simulations, performed employing the Eulerian–Lagrangian model. Additionally, a porous model is adopted to simulate the effect of close-fitting masks. The results indicate that 120 s after coughing, the decrease in the droplet number in the VDA system is 72.1% of that observed in the conventional system. Moreover, the VDA system effectively suppresses droplet transmission because the maximum droplet travel distances of the VDA systems are 49.9% to 67.0% of those of the conventional systems. Furthermore, the effect of reducing droplet transmission by wearing a close-fitting mask is confirmed in all systems. Thus, the decrease in both droplet number and droplet transmission area in train cabins validate that the proposed VDA system has an effective airflow design to prevent droplet infection.
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14
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Albettar M, Leon Wang L, Katal A. A real-time web tool for monitoring and mitigating indoor airborne COVID-19 transmission risks at city scale. SUSTAINABLE CITIES AND SOCIETY 2022; 80:103810. [PMID: 35261876 PMCID: PMC8891144 DOI: 10.1016/j.scs.2022.103810] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/30/2021] [Revised: 01/27/2022] [Accepted: 02/25/2022] [Indexed: 05/25/2023]
Abstract
Airborne transmission of aerosols contributes to a large portion of the SARS-CoV-2 spread indoors. This study develops a real-time interactive web-based platform for the public to compare various strategies to curb indoor airborne transmission of COVID-19 in different archetype buildings at a city scale. Although many countries have started vaccination and a gradual re-opening, because of emerging new variants of the virus and the possibility of future pandemics, a lively updated tool for monitoring and mitigation of infection risk is essential. As a demonstration, we evaluated the impacts of six mitigation measures on the infection risks in various building types in a city. It shows that the same strategy could perform quite differently, depending on building types and properties. All strategies are shown to reduce the infection risk but wearing a mask and reducing exposure time are the most effective strategies in many buildings, with around 60% reduction. Doubling the minimum required outdoor air ventilation rate is not as effective as other strategies to reduce the risk. It also causes considerable penalties on energy consumption. Therefore, new building ventilation standards, control actions, and design criteria should be considered to mitigate the infection risk and save energy.
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Affiliation(s)
- Maher Albettar
- Department of Building, Civil and Environmental Engineering, Concordia University, Montreal H3G 1M8, Canada
| | - Liangzhu Leon Wang
- Department of Building, Civil and Environmental Engineering, Concordia University, Montreal H3G 1M8, Canada
| | - Ali Katal
- Department of Building, Civil and Environmental Engineering, Concordia University, Montreal H3G 1M8, Canada
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15
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Assessment of ANN Algorithms for the Concentration Prediction of Indoor Air Pollutants in Child Daycare Centers. ENERGIES 2022. [DOI: 10.3390/en15072654] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
As the time spent by people indoors continues to significantly increase, much attention has been paid to indoor air quality. While many IAQ studies have been conducted through field measurements, the use of data-driven techniques such as machine learning has been increasingly used for the prediction of indoor air pollutants. For the present study, the concentrations of indoor air pollutants such as CO2, PM2.5, and VOCs in child daycare centers were predicted by using an artificial neural network model with three different training algorithms including Levenberg–Marquardt, Bayesian regularization, and Broyden–Fletcher–Goldfarb–Shanno quasi-Newton methods. For training and validation, data of indoor pollutants measured in child daycare facilities over a 1-month period were used. The results showed all the models produced a good performance for the prediction of indoor pollutants compared with the measured data. Among the models, the prediction by the LM model met the acceptable criteria of ASHRAE guideline 14 under all conditions. It was observed that the prediction performance decreased as the number of hidden layers increased. Moreover, the prediction performance was differed by the type of indoor pollutant. This was caused by patterns observed in the measured data. Considering the outcomes of the study, better prediction results can be obtained through the selection of suitable prediction models for time series data as well as the adjustment of training algorithms.
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16
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The Perception of the Vertical Dimension (3D) through the Lens of Different Stakeholders in the Property Market of China. LAND 2022. [DOI: 10.3390/land11020312] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/04/2023]
Abstract
China has experienced fast urbanization with a growing urban population, which has inevitably led to the adoption of a vertical housing style with high-rise buildings. However, how people subjectively perceive the vertical dimension (3D) in the property market is neither adequately documented nor well understood. The 3D perception helps us to understand a myriad of social and psychological effects of living in high-rise buildings. We organized and conducted semi-structured expert interviews, focus groups, and the circulation and compilation of questionnaires in Xi’an, China, to investigate how different stakeholders in the property market perceive 3D. The results show that: (1) real estate developers do not adjust property prices for specific 3D factors, and the local government does not consider 3D in housing policies; (2) the current status of 3D modeling in Xi’an is still in the embryonic state; (3) 3D factors are highly valued by buyers but not well-understood by real estate developers and local government. In addition, 3D factors score higher than horizontal (2D) factors (by 1.12 to 0.88). Gender and age groups do not influence housing preferences concerning 2D and 3D factors. These findings provide valuable insights for real estate developers concerning pricing policies and the local government concerning housing policies. In the future, 3D perceptions and factors should be prioritized in order to improve urban infrastructure and ensure the increased availability of, and fair public access to welfare related to 3D in urban areas.
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17
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Che W, Ding J, Li L. Airflow deflectors of external windowsto induce ventilation: Towards COVID-19 prevention and control. SUSTAINABLE CITIES AND SOCIETY 2022; 77:103548. [PMID: 34812405 PMCID: PMC8599141 DOI: 10.1016/j.scs.2021.103548] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/21/2021] [Revised: 11/11/2021] [Accepted: 11/14/2021] [Indexed: 05/24/2023]
Abstract
Since the Corona Virus Disease 2019 (COVID-19) outbreak, the normalization of the epidemic has posed great challenge to epidemic prevention and control in indoor environment. Ventilation systems are commonly used to prevent and control indoor transmission of disease. However, most naturally ventilated rooms are not efficient to prevent the spread of virus, i.e., classrooms. The goal of this work is to effectively adopt forced interference strategies (e.g., airflow deflector) applied to external windows to strengthen airflow diffusion performance (ADP) of natural ventilation. So far, no systematic study has been done to investigate the effectiveness of such airflow deflectors on its influence on natural ventilation and effectiveness of preventing the disease transmission in indoor environment. In this work, a case study was conducted based on cross-ventilated classrooms. Different settings of airflow deflectors (i.e., size and installation angle) were applied to the external windows. Air Diffusion Performance Index (ADPI) was utilized to evaluated airflow diffusion performance under different settings of the airflow deflectors. Then, the Wells-Riley model was applied to evaluate infection risk. According to the results, the infection risk can be reduced by 19.29% when infection source is located at the center of classroom and 17.47% when source is located near the side walls. This work would provide guidance for the design of classrooms ventilated with induced natural wind for epidemic prevention and control.
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Affiliation(s)
- Wanqiao Che
- School of Design, Central Academy of Fine Arts, Beijing, China
| | - Junwei Ding
- School of Architecture, Southeast University, 2 Sipailou, Nanjing, Jiangsu, China
| | - Liang Li
- School of Design, Central Academy of Fine Arts, Beijing, China
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18
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Nationwide assessment of energy costs and policies to limit airborne infection risks in U.S. schools. JOURNAL OF BUILDING ENGINEERING 2022; 45:103533. [PMCID: PMC8556188 DOI: 10.1016/j.jobe.2021.103533] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/15/2021] [Revised: 10/01/2021] [Accepted: 10/26/2021] [Indexed: 06/12/2023]
Abstract
Practices such as improved ventilation and air filtration are being considered by schools to reduce the transmission of Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-CoV-2) that causes the pandemic of coronavirus disease 2019 (COVID-19). Improved ventilation may significantly increase the energy cost of heating, ventilation, and air conditioning (HVAC), exacerbating financial challenges schools face amidst the worst pandemic in decades. This study evaluated HVAC energy costs for reducing COVID-19 airborne infection risks in 111,485 public and private schools in the U.S. to support decision-makings. The average annual HVAC energy cost to maintain the infection risk below 1% for the schools in the U.S. is estimated at $20.1 per square meter or $308.4 per capita with improved ventilation and air filtration, where the private schools have higher costs than the public schools on average. The cost could be reduced by adopting partial online learning. It was also found that additional cost to control infection risk with increased ventilation and air filtration is significantly lower for PK-5 schools than that for middle and high schools, indicating the possibility of remaining in-person instructions for PK-5 schools with necessary governmental assistance. Analyses of school HVAC energy costs to reduce airborne infection risks under different intervention scenarios provide important operational guidelines, financial implications, and policy insights for schools, community stakeholders, and policymakers to keep schools safe during the ongoing pandemic and improve preparedness for epidemics projected in the future.
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19
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Xu C, Liu W, Luo X, Huang X, Nielsen PV. Prediction and control of aerosol transmission of SARS-CoV-2 in ventilated context: from source to receptor. SUSTAINABLE CITIES AND SOCIETY 2022; 76:103416. [PMID: 34611508 PMCID: PMC8484231 DOI: 10.1016/j.scs.2021.103416] [Citation(s) in RCA: 17] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/31/2021] [Revised: 09/27/2021] [Accepted: 09/28/2021] [Indexed: 05/24/2023]
Abstract
Global spread of COVID-19 has seriously threatened human life and health. The aerosol transmission route of SARS-CoV-2 is observed often associated with infection clusters under poorly ventilated environment. In the context of COVID-19 pandemic, significant transformation and optimization of traditional ventilation systems are needed. This paper is aimed to offer better understanding and insights into effective ventilation design to maximize its ability in airborne risk control, for particularly the COVID-19. Comprehensive reviews of each phase of aerosol transmission of SARS-CoV-2 from source to receptor are conducted, so as to provide a theoretical basis for risk prediction and control. Infection risk models and their key parameters for risk assessment of SARS-CoV-2 are analyzed. Special focus is given on the efficacy of different ventilation strategies in mitigating airborne transmission. Ventilation interventions are found mainly impacting on the dispersion and inhalation phases of aerosol transmission. The airflow patterns become a key factor in controlling the aerosol diffusion and distribution. Novel and personalized ventilation design, effective integration with other environmental control techniques and resilient HVAC system design to adapt both common and epidemic conditions are still remaining challenging, which need to be solved with the aid of multidisciplinary research and intelligent technologies.
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Affiliation(s)
- Chunwen Xu
- College of Pipeline and Civil Engineering, China University of Petroleum, Qingdao 266580, China
| | - Wenbing Liu
- College of Pipeline and Civil Engineering, China University of Petroleum, Qingdao 266580, China
| | - Xilian Luo
- School of Human Settlements and Civil Engineering, Xi'an Jiaotong University, Xi'an 710049, China
| | - Xingyu Huang
- School of Human Settlements and Civil Engineering, Xi'an Jiaotong University, Xi'an 710049, China
| | - Peter V Nielsen
- Division of Sustainability, Energy and Indoor Environment, Aalborg University, Aalborg 9000, Denmark
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20
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Srivastava S, Zhao X, Manay A, Chen Q. Effective ventilation and air disinfection system for reducing coronavirus disease 2019 (COVID-19) infection risk in office buildings. SUSTAINABLE CITIES AND SOCIETY 2021; 75:103408. [PMID: 34603942 PMCID: PMC8479514 DOI: 10.1016/j.scs.2021.103408] [Citation(s) in RCA: 41] [Impact Index Per Article: 10.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/18/2021] [Revised: 09/24/2021] [Accepted: 09/25/2021] [Indexed: 05/09/2023]
Abstract
During the COVID-19 pandemic, an increasing amount of evidence has suggested that the virus can be transmitted through the air inside buildings. The ventilation system used to create the indoor environment would facilitate the transmission of the airborne infectious diseases. However, the existing ventilation systems in most buildings cannot supply sufficient clean outdoor air for diluting the virus concentration. To reduce the airborne infection risk and minimize energy consumption, especially in existing buildings with well-mixed ventilation systems, this investigation used an ultraviolet-C (UV-C) air disinfection device (Rheem's third generation products, RM3) with 99.9% disinfection efficiency to clean air carrying the COVID-19 virus (severe acute respiratory syndrome coronavirus 2, SARS-CoV-2) which could help promote environmental sustainability and create healthy cities. This investigation assessed the impact of the RM3 UV-C units on the infection risk, the number of RM3 UV-C units required, and the strategy for decreasing the infection risk, with the use of computational-fluid-dynamics (CFD) numerical simulations. An actual office building with a combination of individual offices and workstations was selected as an example for the research. According to the numerical results, the best strategy would be to use a combination of 100% outside air and UV-C in heating, ventilation and air-conditioning (HVAC) ducts with air disinfected by the RM3 UV-C units. The infection risk in the office building could thus be reduced to a negligible level. These findings could provide theoretical basis and engineering application basis for COVID-19 epidemic prevention and control.
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Affiliation(s)
- Shubham Srivastava
- Water Heater Division, Rheem Manufacturing Company Inc, Atlanta, GA 30328, USA
| | - Xingwang Zhao
- School of Energy and Environment, Southeast University, Nanjing 210096, China
| | - Ati Manay
- Water Heater Division, Rheem Manufacturing Company Inc, Atlanta, GA 30328, USA
| | - Qingyan Chen
- School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907, USA
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21
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Wang Q, Liu L. On the Critical Role of Human Feces and Public Toilets in the Transmission of COVID-19: Evidence from China. SUSTAINABLE CITIES AND SOCIETY 2021; 75:103350. [PMID: 34540563 PMCID: PMC8433098 DOI: 10.1016/j.scs.2021.103350] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/24/2021] [Revised: 09/08/2021] [Accepted: 09/08/2021] [Indexed: 05/05/2023]
Abstract
The surprising spread speed of the COVID-19 pandemic creates an urgent need for investigating the transmission chain or transmission pattern of COVID-19 beyond the traditional respiratory channels. This study therefore examines whether human feces and public toilets play a critical role in the transmission of COVID-19. First, it develops a theoretical model that simulates the transmission chain of COVID-19 through public restrooms. Second, it uses stabilized epidemic data from China to empirically examine this theory, conducting an empirical estimation using a two-stage least squares (2SLS) model with appropriate instrumental variables (IVs). This study confirms that the wastewater directly promotes the transmission of COVID-19 within a city. However, the role of garbage in this transmission chain is more indirect in the sense that garbage has a complex relationship with public toilets, and it promotes the transmission of COVID-19 within a city through interaction with public toilets and, hence, human feces. These findings have very strong policy implications in the sense that if we can somehow use the ratio of public toilets as a policy instrument, then we can find a way to minimize the total number of infections in a region. As shown in this study, pushing the ratio of public toilets (against open defecation) to the local population in a city to its optimal level would help to reduce the total infection in a region.
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Affiliation(s)
- Qiuyun Wang
- School of Economics, Southwestern University of Finance and Economics, P.R China
| | - Lu Liu
- School of Economics, Southwestern University of Finance and Economics, P.R China
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