超细粉在声场导向管喷流床中的聚团尺寸预测模型

超细粉的流化性能与聚团尺寸密切相关。通过分析超细粉聚团在声场导向管喷流床中的形成过程,提出了高速射流的剪切作用和聚团间的碰撞作用是决定聚团尺寸的主要原因。在此基础上,结合聚团在射流剪切过程和聚团间碰撞过程中的力平衡分析,建立了声场导向管喷流床中聚团尺寸分布的预测模型;并运用这一模型成功预测了不同射流气速下,超细TiO_2颗粒在声场导向管喷流床中的聚团平均直径和聚团尺寸分布。     

声场导向管喷流床流动特性的数值模拟

在内径120 mm、高1 000 mm的导向管喷流床中,以空气为气相,原生粒径290 nm的TiO_2超细颗粒为固相,借助CFD软件ANSYS Fluent 15.0,将声场模型与欧拉双流体模型相结合,将声场对导向管喷流床中超细粉聚团的流动特性进行数值模拟,研究了声场对气泡和固含率云图、固相时均浓度分布、固(气)相时均速度分布以及流化气旁路分率的影响。结果表明:声场的震荡作用促进环隙区颗粒在气流中均匀分散,减小气泡尺寸,从而使固含率分布变得更均匀;而导向管内由于射流速度较高,声场对固相浓度分布影响很小,但在壁面附近,由于射流速度下降,声场的震荡作用使固相浓度下降;声场增大了环隙和喷泉区的湍动强度,轴向时均速度在径向上分布得更加均匀;声场能够有效抑制流化气的旁路,显著减小流化气旁路分率。     

超细粉在内循环流化床中的流态化特性

在内径120 mm的半圆柱形内循环流化床中,以平均粒径387 nm的Ti O2为原料,考察了单独通入流化气、射流气和同时通入流化气和射流气三种流化方式下超细粉的流化特性以及射流气速对超细粉聚团尺寸的影响。结果表明:同时通入流化气和射流气时,流化气能促进粉体循环,消除环隙死区;高速射流能有效破碎聚团,显著减小聚团尺寸,从而使超细粉在环隙区与导流管之间形成稳定循环,小聚团在环隙区实现平稳流态化。随着射流气速的增大,聚团尺寸减小,粒度分布变窄,在射流气速分别为60,90,120,150 m/s的条件下,聚团平均直径分别为194,158,147,135μm。     

声场对导向管喷流床环隙区流化质量的影响

以平均粒径150μm的空心微珠作为实验物料代替超细粉聚团,在以高速射流为喷动气的半圆柱形导向管喷流床中,分别利用光纤探针和压力传感器测量环隙区颗粒浓度信号、压力脉动信号,通过统计分析和功率谱分析考察了声场对环隙区流化质量的改善作用。结果表明:低频高强度的声场能有效破碎环隙区上部的气泡,减小气泡尺寸,增加气泡内颗粒浓度,使床层两相结构减弱,颗粒平均浓度增大,浓度波动减小。且声压级越大,作用效果越明显;而声波频率的影响则存在一个最佳值,本实验条件下为70Hz,大于或小于该值,声波的作用效果都会减弱。同时声场能消除环隙区下部沟流,促进流化气均匀分布,使颗粒浓度减小,浓度波动增大,并随声压级增加而逐渐与上部接近,从而使环隙区轴向上的流化状态变得更加均匀,流化质量提高。     

基于动态平衡预测纳米颗粒流化床内聚团尺寸分布

准确预测纳米颗粒流化床内聚团尺寸对研究纳米颗粒流化具有重要意义。鉴于目前文献中主要根据力平衡模型得出聚团尺寸平均值,然而聚团尺寸实际呈宽筛分分布,本工作从动态平衡角度,采用分子动理论中麦克斯韦气体速率分布律类比流化床内聚团速度分布,建立基于微观作用力的聚团解聚—重聚模型,并用以预测纳米颗粒流化床内聚团尺寸分布。通过比较聚团间结合力和分离力的相对大小,判断聚团结合和破碎;在分离力中,碰撞力起着至关重要的作用,且与聚团相对运动速度关系密切。预测结果显示,纳米颗粒流化床内聚团尺寸呈现卡方分布。将模型预测值和文献中的实验数据进行对比,包括TiO_2、Ni、SiO_2等颗粒的团聚尺寸,发现大部分偏差在20%以内。     

导向管喷动床内单相流场及声波对流场影响的数值模拟

为阐明超细粉在声场导向管喷动流化床内的流化机理,并为进一步优化和完善床层结构及操作条件提供基础,采用标准k-ε湍流模型计算了导向管喷动流化床内的单相气体流场,考察了进口流化气速和射流气速对气体流动规律的影响,以及声场对导向管喷动流化床内气体轴向速度分布及其脉动均方根的影响。结果表明:在高速射流条件下,导向管喷动流化床内气体呈内循环流动,气体循环流量随流化气速度的增加而减小,但随射流气速度的增加而增加;外加声场使环隙区和喷泉区的气体流动更加均匀,显著增加环隙区和喷泉区气流的湍动程度,且湍动程度随声压级的增大而显著增大,随声波频率的升高而小幅度降低。     

超细粉颗粒在内循环流化床中的流化特性

本文以平均粒径为387nm的TiO2超细粉为物料,在半圆柱形内循环流化床中对其流化特性进行了实验研究,结果表明:流化气能促进粉体循环,减小甚至消除环隙死区;高速射流可以有效的破碎聚团,减小环隙区聚团的尺寸,并使其在环隙区与导流管之间形成稳定循环。在一定的射流气速和流化气速条件下,TiO2超细粉可以在环隙区实现流态化,同时在环隙区和导流管之间形成稳定循环。     

纳米TiO_2颗粒在声场导向管喷动流化床中的流化特性

在内径120 mm的半圆柱型声场导向管喷动流化床中,以平均粒径290 nm的TiO_2颗粒为原料,高速空气射流为喷动气,考察了操作条件、声参数(频率和声压)对纳米颗粒在声场导向管喷流床中的流态化特性的影响。结果表明:声波可以有效抑制沟流,改善环隙流化质量,防止射流旁路,从而促使粉体稳定循环,加快循环速率;同时声波可以显著地降低纳米TiO_2颗粒的最小喷动速度,声波频率一定时,最小喷动速度随声压的增加而减小;声压一定时,最小喷动速度在声波频率为80 Hz时达到最小值,低于或者高于80 Hz,最小喷动速度都会增大。     

粒径及声场对SiO2超细颗粒流化行为的影响

采用内径为56 mm的玻璃管流化床,考察了平均粒径分别为5~10 nm(1#), 0.5 mm(2#)及10 mm(3#)的SiO2超细颗粒在无声场及声场存在下的流化行为. 无声场时,1#和2#颗粒可在较高的气速下形成稳定聚团,单位质量颗粒团间作用力与原生颗粒相比显著下降,因而可实现稳定的聚团流化,3#颗粒因颗粒间粘性力较大,无法实现稳定流化. 40~60 Hz的声场对3种超细颗粒的流化行为均可起到一定的改善作用,在此频率范围外,声场的作用不明显. 提高声压级,可以使1#和2#颗粒团发生一定程度的破碎,聚团尺寸减小,最小流化速度降低. 在实验范围内,添加声场无法使3#颗粒实现稳定流化.     

超细粉流化机理和团聚现象的探讨

在直径60mm的流化床中，以SiO2和TiO2超细粉为原料，考察了粉体物性、粉体填充状态和空气湿度等因素对超细粉流化行为和聚团性质的影响，结果表明：超细粉的流态化经历了活塞流、过渡区和聚团流化3个阶段；聚团的流化行为与大颗粒相似；初始填充状态对超细粉流化行为和聚团大小有重要影响，松填充有利于减小聚团尺寸和减少颗粒夹带，提高流化质量；并结合粉体层受力分析，对超细粉的流化机理和团聚现象进行了探讨。     

Study of Flow Characteristics of Ultrafine CaCO3 Powders in a Spouted Bed

The flow behavior of gas and ultrafine powder in a spouted bed was numerically investigated by using a two‐fluid model coupled with a population balance equation (PBE). The aggregation process is controlled by the PBE, which is solved by the direct quadrature method of moments. The agglomerate diameter is calculated according to the change in particle number. The solid pressure and viscosity were modified for agglomerates on the basis of the kinetic theory of granular flow. Distributions of diameter, solids volume fraction, and velocity are obtained by the new model. The influence of cohesive intensity and gas velocity on the diameter distribution were analyzed. The spout diameter, a vital parameter for the design of spouted beds, was calculated and a calculation formula is proposed.     

超细粉在导向管喷动床中的固体循环速率

Ultra-fine powders are difficult to be fluidized due to the strong particle to particle cohesiveness.However, the authors‘ experiments showed that the ultra-fine powder CaCO3 could be stably fluidized in a spouted bed with a draft tube. The effects of geometric and operating parameters on solid circulation rate of ultra-fine powder CaCO3 were investigated in a 120 mm diameter transparent semicircular spouted bed with a draft tube. Three draft tubes with different sizes were used in this study. It was found that the solids circulation rate was mainly dependent on the drawing rate of the gas jet from the nozzle, then on the gas transport capacity in the draft tube. With increasing gas feed rate, distance between the nozzle and the draft tube inlet and draft tube diameter, the solids circulation rate could be increased. Based on the jet theory, a quantitative correlation was proposed for predicting the solid circulation rate of ultra-fine powders in a spouted bed with a draft tube by taking into account the gas transport capacity in the draft tube.     

Effect of size ratio on the behaviour of agglomerates embedded in a bed of particles subjected to shearing: DEM analysis

This paper presents the results of analysis of the deformation and breakage of spherical agglomerates embedded in a bed of particles and subjected to shearing, a situation commonly encountered in powder granulation. The study is based on three dimensional distinct element method (DEM), in which the inter-particle interactions are governed by theories of contact mechanics. An agglomerate was first generated in a bed of particles having the same size as the primary particles forming the agglomerate. Different size ratios (i.e., the ratio of the diameter of agglomerate to the diameter of surrounding particles) in the range 3-10 were then simulated by varying the size and number of surrounding particles. The agglomerates were subjected to shearing (shear rate and strain of about and 0.3, respectively) and their breakage characteristics were analysed. The agglomerate with the size ratio 10 does not break but undergoes some structural deformation by re-arrangements of contacts. However, the agglomerates with ratio about 7 or smaller suffer breakage. For the size ratio equal or smaller than 5, the agglomerate breaks significantly leading to full disintegration. The results of stress analysis of the agglomerates suggest that the resistance to breakage for the agglomerate with size ratio of 10 is due to the nature of stresses exerted on the agglomerate. For large size ratios the stress on the agglomerate is predominantly hydrostatic. The ratio of deviatoric stress over hydrostatic pressure increases as the size ratio of the agglomerate is reduced. The nature of stresses experienced by agglomerates with smaller size ratios is predominantly deviatoric, thus causing shear deformation and breakage. The results are compared with physical experiments and a satisfactory agreement is obtained.     

Hydrodynamic simulations of gas–solid spouted bed with a draft tube

Flow behavior of particles in a two-dimensional spouted bed with a draft tube is studied using a continuous kinetic-friction stresses model. The kinetic stress of particles is predicted from kinetic theory of granular flow, while the friction stress is computed from a model proposed by Johnson et al. (1990). A stitching function is used to smooth from the rapid shearing viscous regime to the slow shearing plastic regime. The distributions of concentration and velocities of particles are predicted in the spouted bed with a draft tube. Simulated results compare with the vertical velocity of particles (Zhao et al., 2008) measured and in the spout bed with draft plates and solid circulation rate (Ishikura et al., 2003) measured in the spouted bed with a draft tube. The impact of the friction stress of particles on the spout, annulus, fountain and entrancement regions is analyzed in gas–solid spouted bed with a draft tube. Numerical results show that the gas flow rate through the annulus increases with the increase of the entrainment zone. The solids circulation rate decreases with the decrease of inlet gas velocity and the height of the entrainment zone. The effect of spouting gas velocity on distributions of concentration, velocity and particle circulation is discussed.     

导向管直径对喷动床流动特性影响的计算颗粒流体力学数值模拟

导向管喷动床是较为常见的一种喷动床改进床型,通过阻断喷动区与环隙区气固接触来提高颗粒循环的规律性与稳定性。本文采用计算颗粒流体力学（CPFD）方法对于直径150mm的柱锥式导向管喷动床进行了数值模拟研究,考察了导向管直径对于喷动床内颗粒流动特性的影响,从环隙区死区分布、颗粒速度分布、固体循环量等方面分析了具有不同直径导向管喷动床的运行状态。结果表明,加入导向管在减少床内死区的同时也降低了运行时的固体循环量,对于本次采用的喷动床结构尺寸与运行参数,只有在导向管直径为40～60mm时才能保证床内具有良好喷动状态,综合考虑各因素,选用直径50～55mm的导向管最为合适。对于具有类似结构与运行条件的柱锥喷动床,导向管直径可考虑选为无导向管运行时喷动区直径的1.2～1.375倍。     

Investigation of the dispersion of carbon black agglomerates of various sizes in simple-shear flows

The dispersion of spherical carbon black agglomerates suspended in polydimethyl siloxane liquid and subjected to simple shear flows has been studied in a cone-and-plate shearing device. Sets of dispersion experiments were carried out for agglomerates of various size and packing density. For agglomerates of equal density and under conditions of equivalent cone rotation rates, the dispersion rates of small agglomerates were smaller than those observed for larger agglomerates. Since the agglomerates occupy a significant fraction of the flow domain, the magnitude and distribution of shear stress acting on the agglomerate at a fixed cone rotation rate depends on the ratio of agglomerate size relative to the size of the gap between the cone and plate. To investigate whether this effect could cause the observed variation in dispersion behavior, we performed three-dimensional simulations of the flow fields within the cone-and-plate device and calculated the resulting stress fields acting on spherical agglomerates. These results helped guide additional experiments in which the peak stress acting on agglomerates of various sizes was matched. However, even under matched stress conditions, the dispersion kinetics was found to vary according to the agglomerate size. In addition, the dispersion kinetics for identical sized agglomerates was found to depend on their processing history. Both of these results lead to the conclusion that some other effect, likely the infiltration of the processing fluid within the agglomerate structure, also influences the dispersion behavior.     

Experimental and theoretical study on the agglomeration arising from fluidization of cohesive particles—effects of mechanical vibration

A novel technique that can prevent the disruption of agglomerates when sampling the agglomerates from a fluidized bed has been developed and has been applied to the investigation of the agglomeration behaviour of cohesive particles during fluidization with and without mechanical vibration. A new model for the prediction of agglomerate size has also been established on the basis of the energy balance between the agglomerate collision energy, the energy due to cohesive forces and the energy generated by vibration. The accuracy of the model is tested by comparing the theoretical results with the experimental data obtained both in the present work and in the literature. Effects of gas velocity and mechanical vibration on agglomeration for two cohesive (Geldart group C) powders in fluidization are examined experimentally and theoretically. The experimental results prove that mechanical vibration can significantly reduce both the average size and the degree of the size-segregation of the agglomerates throughout the whole bed. However, the experiments also reveal that the mean agglomerate size decreases initially with the vibration intensity, but increases gradually as the vibration intensity exceeds a critical value. This suggests that the vibration cannot only facilitate breaking the agglomerates due to the increased agglomerate collision energy but can also favour the growth of the agglomerates due to the enhanced contacting probability between particles and/or agglomerates. Both the experimental and theoretical results show that a higher gas velocity leads to a smaller agglomerate size.     

在具有锥形料腿的循环流化床中流化CaCO3超细颗粒

根据粘附性颗粒在流化过程中形成的聚团具有较宽粒径分布并因此导致大聚团在流化床中沉积和死床的问题,提出了循环流化床的锥形回料系统设计. 该回料系统包括两部分：锥形料腿和带辅助进气的V型阀. 实验证明,锥形料腿通过提供变化的表观流化气速,克服了流化聚团沉积死床等现象;而V型阀的辅助进气,对于保证V型阀顺利输送粘附性颗粒具有关键性作用. 借助这种回料系统,实现了高粘附性超细CaCO3颗粒在循环流化床的稳定快速流化. 从提升管内部拍摄的照片显示,尽管提升管采用较高的流化气体速度,但超细CaCO3颗粒仍然是以聚团的形式被流化. 对在提升管不同高度采集的聚团分析表明,处于快速流化状态的CaCO3聚团的直径远小于传统流化床中聚团的直径,并且在提升管高度方向聚团直径没有较大的变化. 同时实验还显示,提升管轴向空隙率呈S型分布,而径向则体现环-核结构,具有典型的快速床特征.     

双转子混炼机中固体粉末与聚合物共混的数值模拟

利用聚合物加工分析软件POLYFLOW模拟了双转子连续混炼机中固体粉末在聚合物中的混合过程,并对不同转子转速下的三维等温非牛顿流场进行了流场和动态混合计算和统计学后处理。采用累积停留时间分布表征混合物的轴向混合性能,用团聚体累积粒径尺度分布表征固体粉末团聚体在聚合物基体中的分散状态,直观反映出团聚体在聚合物流场中粒径的变化情况,并用分离尺度分布表征混合物的分布混合性能。结果表明：在一定范围内提高转子转速有利于固体粉末/聚合物的分散、分布混合性能,确定合理的转速范围对于获得高性能聚合物复合材料至关重要。