朱康宁，李 源，沈小又，吴晶晶，蔡 杰，顾中铸

（南京师范大学 能源与机械工程学院，江苏 南京 210023）

引用格式：

朱康宁，李源，沈小又，等 . 外加电场作用下颗粒层除尘器过滤性能的数值研究［J］. 中国粉体技术，2024，30（3）： 88-99. 

ZHU K N， LI Y， SHEN X Y， et al. Numerical study on the filtration performance by granular bed filter under applied electric field［J］. China Powder Science and Technology，2024，30（3）：88−99.

DOI：10.13732/j.issn.1008-5548.2024.03.008

收稿日期：2023-12-21，修回日期：2024-03-13，上线日期：2024-04-23。

基金项目：国家自然科学基金项目，编号：51878356。

第一作者简介：朱康宁（1999—），男，硕士生，研究方向为颗粒层除尘。E-mail：211902024@njnu. edu. cn

通信作者简介：蔡杰（1978—），男，教授，博士，研究方向为多相流。E-mail：caijie@njnu. edu. cn

摘要：【目的】 研究外加电场和细颗粒物粒径对固定床颗粒层除尘器（granular bed filter， GBF）过滤性能的影响。【方法】 建立GBF的三维过滤模型和电场力模型并验证其准确性； 数值研究有、 无外加电场及不同电场强度情况下GBF对粒径 为1~21 µm的细颗粒物的过滤情况，并分析不同粒径的细颗粒物在GBF内部的分布规律。【结果】 外加电场的存在能显 著提高GBF对粒径为3~21 µm的细颗粒物的过滤效率，且外加电场强度越大，细颗粒物粒径越大，GBF过滤效率提升越 明显；随着粒径的增大，细颗粒物在堆积颗粒层内部的分布更加集中在高气流速度区域，且更容易通过堆积颗粒层与 GBF壁面之间形成的通道；外加电场的存在使得堆积颗粒层内部的细颗粒物数量减少，分布散乱，且大粒径细颗粒物在 GBF壁面附近区域发生较大规模聚集。【结论】 外加电场和细颗粒物粒径的增大与GBF内部细颗粒物的分布规律密切联 系，且对GBF过滤性能的提升发挥积极作用。

关键词：颗粒层除尘器；电场；细颗粒物；过滤效率；数值模拟

Abstract

Objective Fine particles are ubiquitous in various settings including industrial production，daily activities，and natural surroundings， exerting a profound influence on atmospheric conditions，industrial operations，and human health. Notably，PM2.5，in particular， poses significant health risks such as cardiopulmonary dysfunction，respiratory ailments，and cardiovascular diseases，thus necessitating urgent attention to their mitigation. The granular bed filter （GBF）emerges as a promising solution in this regard，employing granular materials like silica sand，gravel，slag，or coke to form an efficient filter layer capable of capturing fine particles from polluted air streams. Owing to its adeptness in dust removal，along with its resilience to elevated temperatures and pressures，corrosion，and abrasion，as well as its cost-effectiveness and simplistic design，the GBF technology has garnered rapid adoption across diverse sectors encompassing energy，chemical processing，metallurgy，and environmental conservation. However，the current comprehension of the dust removal mechanisms and operational dynamics of GBF remains inadequate，necessitating urgent bolstering through intensified research efforts. This paper aims to advance the understanding and refinement of GBF technology，thereby facilitating its continued evolution and application.

Methods This paper presents the establishment of a three-dimensional filtering model for fixed bed Granular Bed Filters（GBF），encompassing both geometric and mathematical aspects. The geometric model，illustrated in Figure 1，portrays the entire structure as a cylindrical tube， divided into three distinct sections：the entrance，the filter layer（composed of stacked granular material），and the exit. The mathematical model adopts a gas-solid unidirectional coupling approach， focusing solely on the influence of airflow on fine particles， disregarding the reverse effect. Gas phase dynamics are simulated using the Reynolds-averaged Navier-Stokes（RAN）method with standard equations serving as the closed model， while the solid phase （fine particles）is analyzed via Lagrange-based force calculations. Validation of model accuracy is conducted through comparison with experimental verification，as depicted in Figure 2. Subsequently， the paper investigates the filtration efficiency of GBF for fine particles ranging from 1 to 21 µm in diameter， with a density of 2 100 kg/m3 ， under varying electric field intensities （0， 1 000，2 000，3 000 V）. Furthermore， the distribution of fine particles with different sizes （4，11，21 µm） within the stacked granular layer is examined and compared.

Results and Discussion As depicted in Figure 3， the introduction of an applied electric field yields a notable enhancement in the filtration efficiency of the filter layer， particularly for fine particles ranging from 1 to 21 µm， with a more pronounced effect observed for particles larger than 3 µm. Moreover， the degree of improvement in filtration efficiency correlates positively with the strength of the applied electric field. Notably， under a 3 000 V applied electric field， the filtration efficiency for 21 µm fine particles reaches 98. 8%， nearing full efficiency. However， while the 1 000 V electric field intensity significantly enhances filtration efficiency，further increases in electric field intensity exhibit diminishing returns. For instance，transitioning from 1 000 V to 2 000 V or 2 000 V to 3 000 V results in a marginal improvement of no more than 5% in the filtration efficiency for fine particles ranging from 1 to 21 µm. Figures 4，5，6，and 7 illustrate that as the size of fine particles increases， their distribution within the stacked granular layer becomes more concentrated in regions with higher gas flow velocities，particularly near the walls of the GBF. This phenomenon is attributed to the porous channels between the GBF walls and the stacked particle spheres，facilitating the passage of larger fine particles. Figure 8 indicates that compared to the scenario without an applied electric field，the presence of a 1 000V applied electric field minimally alters the distribution of 11 µm fine particles within the stacked granular layer at 0. 1s，primarily leading to a reduction in the quantity of fine particles. This reduction reflects the enhanced filtration efficiency due to the applied electric field. However，by 0. 3 s，the applied electric field induces a more diffuse distribution of 11µm fine particles within the GBF， accompanied by mass accumulation near the GBF wall， even in low-velocity areas. Figure 9 reveals that at the same time point （0. 3 s），the applied electric field causes a more pronounced accumulation of 21 µm fine particles near the GBF wall compared to 11 µm fine particles，while 4 µm fine particles do not exhibit significant accumulation.

Conclusion The primary conclusions drawn from this study are as follows：1）The introduction of an applied electric field yields a substantial enhancement in the filtration efficiency of GBF for fine particles. Furthermore，the degree of improvement in filtration efficiency is directly proportional to the strength of the applied electric field. Additionally，the impact of the applied electric field on the filtration efficiency varies depending on the size of the fine particles. 2）Fine particles exhibit a tendency to accumulate in regions characterized by high gas flow velocities within the stacked granular layer. Moreover，larger fine particles demonstrate a greater propensity to traverse through the channels between the stacked granular layer and the GBF wall. 3）The presence of an applied electric field results in a significant reduction in the quantity of fine particles within the stacked granular layer，leading to a more dispersed distribution. Notably，fine particles with larger particle sizes（11 µm and 21 µm）exhibit a tendency to aggregate near the GBF wall under the influence of the applied electric field.

Keywords：granular bed filter；electric field；fine particle； filtration efficiency；numerical simulation

参考文献（References）

［1］CHENG Y， YU H M， XIE S， et al. Study on the coal dust deposition fraction and site in the upper respiratory tract under different particle sizes and labor intensities［J］. Science of the Total Environment，2023，868：161617.

［2］KHAZINS V M， SOLOV’EV S P， LOKTEV D N， et al. Nearsurface air layer pollution with micronic dust particles in largescale blasting in open pit mining ［J］. Journal of Mining Science，2022，58（4）：676-689.

［3］栗海潮. 煤矿粉尘职业危害防治技术探讨［J］. 技术与市场，2021，28（11）：98-99. 

LI H C. Discussion on prevention and control technology of coal mine dust occupational hazard［J］. Technology and Market， 2021，28（11）：98-99. 

［4］YU Y， TAO Y， WANG F L， et al. Filtration performance of the granular bed filter used for industrial flue gas purification： a review of simulation and experiment［J］. Separation and Purification Technology，2020，251：117318.

［5］陈俊霖. 含尘高温烟气颗粒床内除尘及换热特性研究［D］. 北京：中国科学院大学，2019. 

CHEN J L. Study on the collection efficiency and heat transfer characteristics of hot dusty gas flowing through the packed granular bed［D］. Beijing： University of Chinese Academy of Sciences，2019.

［6］官蕾. 细颗粒物在随机堆积颗粒层中分离过滤特性的动力学研究［D］. 南京：东南大学，2020. 

GUAN L. Kinetic research on the deposition fine particles on the randomly packed granular bed filter［D］. Nanjing： Southeast University，2020.

［7］XIAO S R. Effect of filter layer thickness on the filtration characteristics of dual layer granular beds［J］. Powder Technology，2018，335：344-353.

［8］SHI H， YANG G， YAO Z， et al. Semi-coke powder filtration experiments using a dual layer granular bed filter［J］. Advanced Powder Technology，2018，29（12）：3257-3264.

［9］SHEN W J， YANG G H， LIU P， et al. Effects of temperature on the filtration characteristics of a dual-layer granular bed filter［J］. Chemical Engineering and Technology，2018，41（9）：1759-1766.

［10］CHEN Y S， CHYOU Y P， LI S C. Hot gas clean-up technology of dust particulates with a moving granular bed filter［J］. Applied Thermal Engineering，2015，74：146-155.

［11］MACIAS-MACHIN A， SOCORRO M， VERONA J M， et al. New granular material for hot gas filtration： use of the “Lapilli”［J］. Chemical Engineering & Processing Process Intensification，2006，45（9）：719-727.

［12］XIAO G， WANG X， ZHANG J， et al. Granular bed filter： a promising technology for hot gas clean-up［J］. Powder Technology，2013，244（4）：93-99.

［13］LV H， FAN Y， XING K. Effects of operating parameters on the performance of moving bed filter［J］. Powder Technology， 2023，419：118327.

［14］MA H， HRADISKY M， JOHNSON W P. Extending applicability of correlation equations to predict colloidal retention in porous media at low fluid velocity［J］. Environmental Science & Technology，2013，47（5）：2272-2278.

［15］KIKUCHI S， KON T， UEDA S， et al. Analysis of powder motion in a packed bed of blast furnace using the discrete element method［J］. Isij International，2015，55（6）：1313-1320.

［16］CHEN J， LI X， HUAI X， et al. Collection efficiency in a three-dimensional randomly arranged dual-layer granular bed filter［J］. Particuology，2019，49：88-94.

［17］WANG F L， TANG S Z， HE Y L， et al. Parameter study of filtration characteristics of granular filters for hot gas clean-up ［J］. Powder Technology，2019，353：267-275.

［18］WANG F L， HE Y L， TANG S Z， et al. Particle filtration characteristics of typical packing granular filters used in hot gas clean-up［J］. Fuel，2018，234：9-19.

［19］YOKOO K， KISHIDA M， YAMAMOTO T. Numerical investigation of PM filtration in fluidized-bed-type PM removal device based on force balance via CFD-DEM simulation［J］. Powder Technology，2020，380：506-517.

［20］XIE Z， WANG S， SHEN Y. CFD-DEM modelling of the migration of fines in suspension flow through a solid packed bed ［J］. Chemical Engineering Science，2021，231.

［21］FARAHANI M V， FOROUGHI S， NOROUZI S， et al. Mechanistic study of fines migration in porous media using lattice Boltzmann method coupled with rigid body physics engine［J］. Journal of Energy Resources Technology，2019，141（12）： 123001.

［22］PARVAN A， JAFARI S， RAHNAMA M， et al. Insight into particle retention and clogging in porous media： a pore scale study using lattice Boltzmann method［J］. Advances in Water Resources，2020，138（1）：103530.

［23］XIA T， FENG Q， WANG S， et al. A numerical study of particle migration in porous media during produced water reinjection［J］. Journal of Energy Resources Technology，2022，144（7）：29-31.

［24］BEMER D， SUBRA I， MORELE Y， et al. Experimental study of granular bed filtration of ultrafine particles emitted by a thermal spraying process［J］. Journal of Aerosol Science，2013，63：25-37.

［25］GIVEHCHI R， LI Q， TAN Z. The effect of electrostatic forces on filtration efficiency of granular filters ［J］. Powder Technology，2015，277：135-140.

［26］XI J F， GU Z Z， CAI J， et al. Filtration of dust in an electrostatically enhanced granular bed filter for high temperature gascleanup［J］. Powder Technology，2020，368：105-111.

［27］KAWAGUCHI T， TANAKA T， TSUJI Y. Numerical simulation of two-dimensional fluidized beds using the discrete element method （comparison between the two- and three-dimensional models）［J］. Powder Technology，1998，96（2）： 129-138.

［28］WEN C Y， YU Y H. Mechanics of fluidization ［J］. Chem Eng Prog Sump Ser，1966，162：100-111.