有限空间内飞沫颗粒传播规律的数值研究Numerical study on the spread and diffusion law of droplet particles in limited space
罗婷,胡卓焕,杨茉
LUO Ting,HU Zhuohuan,YANG Mo
摘要(Abstract):
采用Realizable k-ε湍流模型并运用多组分欧拉-拉格朗日方法离散相模型,模拟了有限空间内说话、咳嗽和打喷嚏3种生理活动中产生的可吸入飞沫颗粒的输送过程,分析了不同生理活动时可吸入飞沫颗粒在有限空间内的分布特点,研究了其传播扩散规律以及影响因素。结果表明:在3种生理活动下产生的飞沫初期都以"飞沫羽流"的形态进入到空气中传播并扩散,而后逐渐转化为"飞沫旋流"继续沿喷射方向传播,且"旋流"的形成对飞沫在喷射垂直方向上扩散扰动具有明显的削弱作用,此时飞沫在空气中所占的质量分数最大。此外,打喷嚏时在喷射方向上的传播速率为说话的2.5倍,而喷射垂直方向的扩散速率为说话的2倍,且其影响波及范围最广。有限空间内的强迫对流不仅会对传播过程中飞沫的形态产生影响,且同时强化飞沫的蒸发作用。本文研究成果可为飞沫传播传染病的防治工作提供参考。
The Realizable k-ε turbulence model and a multi-component Eulerian-Lagrangian approach of discrete phase model were applied to simulate the transport process of inhalable droplets in air for three different physiological activities of speech,coughing and sneezing. The distribution characteristics of inhalable droplet particles in different physiological activities in limited space were analyzed,and its spread and diffusion law and influencing factors were studied.The results show that the initial droplets produced in three different physiological activities all enter into the air and spread in the air in the form of“droplets plume”,and then are gradually transformed into“droplets swirl”to continue to spread in the direction of injection. The formation of “droplets swirl” is a significant weakening effect on the diffusion disturbance of droplets in vertical direction. At this time,the droplets account for the largest mass fraction in the air.In addition,during the sneezing,spread speed in the direction of injection is 2.5 times of that during talking,whereas the diffusion rate in the vertical direction is twice that during talking and its impact is the widest.Furthermore,forced convection in limited space not only affects the form of droplets during propagation,but also strengthens the evaporation effect of droplets.The research results can provide reference for the prevention and treatment of the infectious diseases transmitted by droplets.
关键词(KeyWords):
有限空间;飞沫颗粒;传播扩散;数值模拟;传染病
limited space;droplets particles;spread and diffusion;numerical simulation;infectious diseases
基金项目(Foundation): 国家自然科学基金重点项目(51736007)
作者(Author):
罗婷,胡卓焕,杨茉
LUO Ting,HU Zhuohuan,YANG Mo
参考文献(References):
- [1]新型冠状病毒肺炎诊疗方案(试行第七版)[J].天津中医药大学学报,2020,39(2):121-127.New coronary virus pneumonia treatment programme(trial 7th edition)[J].Journal of Tianjin University of Traditional Chinese Medicine,2020,39(2):121-127.
- [2] GUPTA J K,LIN C H,CHEN Q.Flow dynamics and characterization of a cough[J].Indoor Air,2009,19(6):517-525.
- [3] BARMBY T,LARGUEM M.Coughs and sneezes spread diseases:An empirical study of absenteeism and infectious illness[J].Journal of Health Economics,2009,28(5):1012-1017.
- [4]孙丽颖,李岩.空调房间内污染物分布特性的模拟研究[J].流体机械,2010,38(3):76-80.SUN L Y,LI Y.Simulation study on distribution of the pollutants in air-condition room[J].Fluid Machinery,2010,38(3):76-80.
- [5] BOUROUIBA L,TESLYA A,WU J.Highly pathogenic avian influenza outbreak mitigated by seasonal low pathogenic strains:Insights from dynamic modeling[J].Journal of Theoretical Biology,2011,271(1):181-201.
- [6] INTHAVONG K,GE Q J,LI X D,et al.Detailed predictions of particle aspiration affected by respiratory inhalation and airflow[J].Atmospheric Environment,2012,84(62):107-117.
- [7]岳高伟,陆梦华,贾慧娜.室内污染物扩散的通风优化数值模拟[J].流体机械,2014,42(4):81-85.YUE G W,LU M H,JIA H N.Numerical simulation of indoor pollutant diffusion on ventilation optimization[J].Fluid Machinery,2014,42(4):81-85.
- [8] WEI J,LI Y.Enhanced spread of expiratory droplets by turbulence in a cough jet[J].Building and Environment,2015,93:86-96.
- [9] LOK C.The snot-spattered experiments that show how far sneezes really spread[J].Nature,2016,534(7605):24-26.
- [10] YAN Y,LI X,TU J.Thermal effect of human body on cough droplets evaporation and dispersion in an enclosed space[J].Building and Environment,2019,53(148):96-106.
- [11] YAN Y,LI X,SHANG Y,et al.Evaluation of airborne disease infection risks in an airliner cabin using the Lagrangian-based Wells-Riley approach[J].Building and Environment,2017,121:79-92.
- [12] LI X D,INTHAVONG K,TU J Y.Particle inhalation and deposition in a human nasal cavity from the external surrounding environment[J].Building and Environment,2012,47:32-39.
- [13] NICAS M,NAZAROFF W W,Hubbard A.Toward understanding the risk of secondary airborne infection:emission of respirable pathogens[J].Journal of Occupational and Environmental Hygiene,2005,2(3):143-154.
- [14] LI X,SHANG Y,YAN Y,et al.Modelling of evaporation of cough droplets in inhomogeneous humidity fields using the multi-component Eulerian-Lagrangian approach[J].Building and Environment,2018,128:68-76.
- [15]刘荔,张毅,付林志,等.热分层环境人际间飞沫传染风险与对策研究[J].暖通空调,2020,50(6):1-8.LIU L,ZHANG Y,FU L Z,et al. Interpersonal droplet transmission risk and countermeasures in thermally stratified environment[J].Heating Ventilating and Air Conditioning,2020,50(6):1-8.
- [16] XIE X,LI Y,CHWANG A T Y,et al.How far droplets can move in indoor environments-revisiting the Wells evaporation-falling curve[J].Indoor Air,2007,17(3):211-225.
- [17] ELAINE L L,CATHARYN T L.Preventing transmission of pandemic influenza and other viral respiratory diseases:Personal protective equipment for healthcare personnel[J].National Academies Press,2011,15(8):54-63.
- [18] THOMAS R J,WEBBER D,SELLORS W,et al.Generation of large droplet aerosols within microbiological containment using a novel flowfocussing technique[J].Aerobiologia,2009,25(2):75-84.
- [19] TELLIER R,LI Y,COWLING B J,et al.Recognition of aerosol transmission of infectious agents:A commentary[J].BMC Infectious Diseases,2019,19(1):101.