旋流气浮中气泡-颗粒碰撞效率影响因素理论分析

在旋流气浮接触区碰撞模型基础上,通过理论计算考察了物性、运行和结构参数对分散相颗粒/油滴与气泡碰撞效率的影响. 结果表明,物性参数中的分散相粒径与密度、运行参数中气泡直径与切向速度和结构参数中等效旋流直径对碰撞效率影响较大. 在旋流气浮工艺中,碰撞效率随分散相粒径增大而增大,但随气泡直径和分散相颗粒/油滴密度增大而减小;分散相粒径小于0.02 mm时,碰撞效率随切向速度增大而减小、随等效旋流直径增大而增大;分散相颗粒/油滴大于0.02 mm时,碰撞效率随切向速度增大而增大、随等效旋流直径增大而减小. 旋流气浮去除的主要是油滴大于0.02 mm的非溶解性油,因此,设备紧凑可提高气泡与分散相颗粒的碰撞效率,达到高效分离目的.     

Yoon-Luttrell collision and attachment models analysis in flotation and their application on general flotation kinetic model

We theoretically used the models of Yoon and Luttrell for collision and attachment efficiencies to show the effect of fluid flow condition, the effect of bubble size and velocity and particle surface hydrophobicity in flotation system, and in order to demonstrate the effect of particle density on the attachment behavior we incorporate the correct expression for the maximum collision angle developed by Dukhin collision model in the Yoon-Luttrell attachment efficiency applied for two minerals species such as the quartz and chalcopyrite. Then we used the expression of the analytical model that enables the calculation of the flotation rate constant of particles derived by Pyke et al., developed under turbulent condition and with including the efficiency of collision using the generalized Sutherland equation (GSE), the attachment efficiency using modified Dobby-Finch model, and stability of bubble-particle aggregate includes the various forces acting between the bubble and the attached particle. Some results are obtained revealing the positive inertial effect for the quartz and galena particles under defined flotation data conditions by incorporating in the flotation rate constant mentioned above, the collision and attachment efficiency models of Yoon-Luttrell developed for potential flow condition with assuming that the bubble surface is completely mobile and the particle inertia is ignored. The results show also the influence of the increasing of the bubble velocity to determine the particle size range between the models considering the inertial effect and those who ignored the particle Inertia.     

Simulation of turbulent electrocoalescence

The combination of an electric field and a moderate turbulent flow is a promising technique for enhancing the separation of water from oil. In this work, a numerical framework based on the Eulerian-Lagrangian approach is presented, where the turbulent dispersion and the inter-droplet hydrodynamic and electrical forces are carefully handled. Water-in-oil emulsions are studied in a channel flow with almost isotropic, decaying turbulence. The results obtained agree qualitatively with experimentally data reported in the literature. Our simulations show that the collision frequency is mainly controlled by the turbulence, but strong electric fields may increase the collision rate at low turbulence levels. It is also observed that turbulent electrocoalescence works equally well for all simulated volume fractions of water droplets.     

A collision model for fine particles in a turbulent system

A model is proposed to describe the collision rate of small particles suspended in a turbulent system. The model combines the possible collision mechanisms: 1) collisions due to the relative velocity between fluid and particles, and 2) collisions due to the turbulent diffusion of particles. This model also accounts for the effect of particle concentration on the collision rate. It was found that the turbulent diffusion of particles plays an important role in the collision of equally sized particles as well as of unequally sized particles. The model predictions also show that the collision rate of particles is strongly affected by the concentration of solid particles and by the turbulence intensity. Much more reliable predictions than previously possible have been obtained with the present model.     

Modeling of turbulent gas–liquid bubbly flows using stochastic Lagrangian model and lattice-Boltzmann scheme

In this paper we present detailed, three-dimensional and time-resolved simulations of turbulent gas–liquid bubbly flows. The continuous phase is modeled using a lattice-Boltzmann (LB) scheme. The scheme solves the large-scale motions of the turbulent flow using the filtered conservation equations, where the Smagorinsky model has been used to account for the effects of the sub-filter scales. A Lagrangian approach has been used for the dispersed, bubbly phase. That is we update the equations of motion of individual bubbles. It is shown that the incorporation of the sub-filter scale fluid fluctuations along the bubble trajectory improves the predictions. Collisions between bubbles are described by the stochastic inter-particle collision model based on kinetic theory developed by Sommerfeld (2001). It has been found that the collision model not only dramatically decreases computing time compared to the direct collision method, but also provides an excellent computational efficiency on parallel platforms. Furthermore, it was found that the presented modeling technique provides very good agreement with experimental data for mean and fluctuating velocity components.     

MODELING OF TURBULENT, NEUTRALLY BUOYANT DROPLET SUSPENSIONS IN LIQUIDS

The mixing of neutrally buoyant, immiscible droplets in suspension in a turbulent liquid is being studied. In a statistically homogeneous field, it is anticipated that the droplets will affect the turbulent eddies, and that the turbulence will cause the droplets to break-up and coalesce. A cascade model is constructed by extension of the Desnyansky and Novikov equation, accounting for the wavenumber dependence of the fluctuating energy, for the intermittency factor of the turbulence and for the droplet population. In the absence of breakage and coalescence, interactions between eddies and droplets are assumed to be of collision type, so that the exchange of energy and the modifications to the eddy and droplet populations can be described. The resulting equations are solved for a fixed droplet population, showing the effect of droplet size on the turbulent energy spectrum. Continuation of the work is discussed, including droplet breakage and coalescence, as well as the introduction of non-homogeneous distributions.     

A literature review on mechanisms and models for the coalescence process of fluid particles

This paper presents a literature review on the mechanisms and models of coalescence of fluid particles. For the mechanisms, five categories are summarized, namely, turbulence fluctuation, viscous shear stress, capture in turbulent eddies, buoyancy and wake interaction. The models for collision frequency and coalescence efficiency as well as contact and drainage times available in literature are reviewed thoroughly. The development and limitation of the existing models are studied and possible improvements are proposed.     

湍流中气泡破碎建模与实验研究进展

综述了充分发展湍流中气泡破碎的机理和模型,将其机理归纳为湍流涡碰撞、黏性剪切、尾涡剪切脱落过程和界面不稳定性四类。对文献中气泡破碎速率和子气泡大小分布的预测模型进行了系统总结。分析讨论了现有气泡破碎模型的发展和局限性,并提出了未来的发展方向。同时,也综述了湍流中单气泡破碎的实验研究,依据产生湍流的方法归纳为四种情况：增大液体流速产生湍流,采用内构件产生湍流,搅拌产生湍流,以及圆锥反应器结合搅拌产生湍流。总结了现有气泡破碎实验的进展和局限,并进行了分析和展望。最后,通过将文献中气泡破碎速率模型预测值和实验数据进行对比,表明文献中多个破碎模型已经有了较好的预测能力。     

THE COLLISION RATE OF PARTICLES IN TURBULENT FLOW

A review of previous derivations of particle collision rates in turbulent fluid flow shows that these are applicable only to limited cases. A more general derivation is given, taking into account the effects of the inertia of the particles and the difference in densities of the fluid and the particles. A universal solution for the relative velocity of two particles due to turbulent accelerations in a gaseous or liquid system is presented. In gaseous systems the acceleration mechanism becomes predominant at particle sizes far below the Kolmogorov microscale of turbulence. In liquid systems, the particle inertial and added mass effects become important above the Kolmogorov microscale. Here the particle collision rate cannot be estimated from the fluid turbulent velocity fluctuations only.     

Numerical study of particle–particle collision in swirling jets: A DEM–DNS coupling simulation

The particle–particle collisions in swirling jets are studied by a coupling method of discrete element method (DEM, a hard-sphere approach) and direct numerical simulation (DNS). The characteristics of distribution of collision in configuration and velocity spaces are investigated in detail through probability density functions (PDFs) in the generalized coordinates. The dependency of particle–particle collision on turbulence characteristics, such as turbulent kinetic energy (TKE), dissipation rate (TDR), fluctuation, and correlated fluctuations, is studied by exploring the PDFs and the correlations between them. The results show that the spatial distribution of particle–particle collision in swirling jets is highly dependent on the Stokes numbers. For small particles, collision is dominated by the enclosure of bubble vortices whereas for large particles it is mainly determined by the configuration of the flow domain. The distribution of collision in velocity space has corresponding features of dependency on the particle property. Small particles are most probable to collide with each other near zero streamwise velocity within the recirculation zone, whereas large particles are most probable to take collision with their axial velocities close to the inflow velocity of fluid. The dependency of collision on TKE and TDR is fairly complicated. For example, for Stokes number slightly less than unity and far larger than unity, collision is relatively well-correlated to TKE, resulting in an augmented effect of turbulence modulation. It is investigated in detail and the physical mechanisms are well interpreted. Finally, the correlation between the PDF of collision and fluctuations of turbulence indicates that collision probability is positively correlated to the normal components of Reynolds stress tensor, but negatively correlated to the shearing components of Reynolds stress tensor.     

乙烯裂解炉耦合模拟中湍流模型的影响分析

配备底部烧嘴和侧壁烧嘴的乙烯裂解炉应用越来越广泛，不同燃烧模式影响着炉膛内湍流流动状态，考虑到裂解炉中湍流流动与燃气喷料、燃烧和传热有较强的非线性耦合作用，为此探究不同湍流模型在裂解炉/反应器耦合模拟中的影响对于裂解炉的精确设计和优化至关重要。针对不同湍流模型对某十万吨工业乙烯裂解炉进行了耦合模拟，利用CFD数值模拟对采用标准k-ε模型、RNG k-ε和Realizable k-ε模型所建立的湍流流动模型进行评估。将三种湍流模型的模拟结果与工业数据进行比较，重点分析了裂解炉内的速度、温度、湍流能力等参数的分布情况，表明Realizable k-ε模型在火焰稳定性、反应效率等方面优于其他两种模型，且基于Realizable k-ε湍流方程的反应管模型在热通量、炉管外壁温度分布计算结果更接近实际工况。     

NUMERICAL CALCULATIONS OF TUBE BUNDLES EROSION BY TURBULENT PARTICLE-LADEN GAS FLOWS

Erosion of tubes in tube bundles by particles suspended in gas flows is a major problem in the power industry. In this paper, a numerical study has been conducted for the flow of a dilute particle-laden gas moving past two row in-line tubes undergoing erosion. An orthogonal-curvilinear co-ordinate system was used to calculate turbulent flow around the tubes. The prediction of particle trajectories took into account the effect of the turbulence with a stochastic particle dispersion model. The results from this study included the distributions of particle collision frequency and erosion damage of tube surfaces.     

NUMERICAL CALCULATIONS OF TUBE BUNDLES EROSION BY TURBULENT PARTICLE-LADEN GAS FLOWS

Erosion of tubes in tube bundles by particles suspended in gas flows is a major problem in the power industry. In this paper, a numerical study has been conducted for the flow of a dilute particle-laden gas moving past two row in-line tubes undergoing erosion. An orthogonal-curvilinear co-ordinate system was used to calculate turbulent flow around the tubes. The prediction of particle trajectories took into account the effect of the turbulence with a stochastic particle dispersion model. The results from this study included the distributions of particle collision frequency and erosion damage of tube surfaces.     

某些化工冶金装置中湍流流场的研究

本文主要叙述了用DISA热线风速仪对下列三种装置中湍流流场的研究.(1)喷嘴:实验表明,在自由射流不同横截面上,(?)、（?）和ε_r以无因次坐标表示,均具有相似性,并求得等(?)(?)和等ε_(max)直线方程.(2)流化床:从流化床中(?)和ε的分布曲线可以看出,在分布板区域,这三者变化很大,对传质、传热有利.(3)顶燃式热风炉:由实验结果看出,一种改进的顶燃式热风炉的速度场和湍流场都是非常均匀的,因而可以延长炉龄、提高热利用率和节省能源.     

用考虑颗粒尾涡效应的双时间尺度耗散模型模拟流体的湍流变动

Presently developed two-phase turbulence models under-predict the gas turbulent fluctuation, because their turbulence modification models cannot fully reflect the effect of particles. In this paper, a two-time-scale dissipation model of turbulence modification, developed for the two-phase velocity correlation and for the dissipation rate of gas turbulent kinetic energy, is proposed and used to simulate sudden-expansion and swirling gas-particle flows. The proposed two-time scale model gives better results than the single-time scale model. Besides, a gas turbulence augmentation model accounting for the f＇mite-size particle wake effect in the gas Reynolds stress equation is proposed. The proposed turbulence modification models are used to simulate two-phase pipe flows. It can properly predict both turbulence reduction and turbulence enhancement for a certain size of particles observed in experiments.     

Comparative efficiency of shear,elongation and turbulent droplet breakup mechanisms: Review and application

The study of phase dispersion of two immiscible fluids in different flows requires identifying the relevant breakup mechanisms. We propose here a detailed investigation of droplet breakup in a multifunctional exchanger-reactor of the vortex generator type in which transfer intensification is due to longitudinal vortical structures. We compare the efficiency of the mean gradients and turbulent mechanisms in droplet breakup in this industrial reactor. This efficiency is essentially characterized by the resulting distribution of droplet diameters. Then, the roles of the mean flow and the turbulent field, intensity, energy spectrum, and turbulence scales are examined in relation to the liquid/liquid dispersion in order to explore the governing mechanisms of drop breakup. In the complex flow considered here – nonhomogeneous and anisotropic turbulence at moderate Reynolds numbers (<15,000) – with weak turbulence intensity (about 10%), it can be demonstrated that turbulent breakup mechanisms largely dominate mean flow effects; elongation and shear effects are shown to have minor effects on the breakup mechanisms. Moreover, the global characteristic scales of the flow are not the relevant parameters in predicting the final size of the emulsion, but instead the Kolmogorov microscale, implying that the residence time in the reactor is not a limiting factor. Hence, the local dissipation rate governs the performance of the actual multifunctional reactor. This study provides some insight in the design and scaling-up of multiphase reactors.     

Effects of embedded streamwise vorticity on turbulent mixing

This work concerns the characterization of turbulent flow underlying mixing in the presence of streamwise vorticity. An experimental test section made of a cylindrical tube equipped with seven rows of streamwise vortex generators was designed and constructed for this study. Each row is composed of four vortex generators fixed symmetrically on the tube wall. This new type of mixer, called a high-efficiency vortex (HEV) mixer, generates coherent structures in the form of longitudinal counter-rotating vortices. The resulting flow enhances radial mass transfer and thus facilitates particle dispersion and mixing. The energy cost of this mixer used as an emulsifier has been evaluated as up to a thousand times less than that of other static mixers for a given interface area generation (Lemenand et al. [1] and [2]).The aim of this work is to study experimentally and numerically the turbulence structure and mixing properties of the flow composed of streamwise vortices superimposed on a turbulent flow, in particular the more energetic structures present in the base flow. Experiments were carried out in the test section in a flow loop by measuring instantaneous velocities by laser Doppler anemometry. Numerical simulations of the velocity distribution and turbulence field inside the flow were conducted for various turbulence models using a computational fluid dynamic CFD package. Attention is focused on the evolution and distribution of turbulent kinetic energy dissipation as the underlying mechanism for turbulent mixing. Mean and turbulent quantities are compared with experimental results.Both laboratory experiments and numerical simulations show a vortex zone behind each tab that could explain the efficiency of the HEV mixer. This study provides a basis for understanding the physical mechanisms in the mixing and homogenizing of the flow and therefore the efficiency of the mixer.     

Collision rates of small particles in a vigorously turbulent fluid

A review of previous calculations of particle collision rates in a turbulent fluid shows that they are suitable only for low intensity turbulence, such as that found in water treatment plants. It is shown that the assumption of independent particle velocities as in the gas kinetic theory is appropriate for the high intensity turbulence generated in suspensions being pumped and mixed under normal industrial conditions. The collision rate has been calculated, with and without gravitational or centrifugal forces also acting on the particles.The collision rate without external forces is found to be

where the mean squared velocity for each particle is

     

INFLUENCE OF PULP PULSATION ON THE BATCH FLOTATION OF GALENA

An experimental investigation into the effect of pulp pulsation on the flotation of an artificial mixture of galena and quartz has been conducted. Laboratory experiments have shown that the recovery and kinetics of lead flotation can be improved significantly by pulsating the pulp, while the grade and selectivity of the lead remained virtually unchanged. Pulsation of the pulp led to structural change of bubbles. An increase in the number of bubbles and a decrease in the bubble size resulted in an increase in the gas holdup in the pulp and a likely increase in the bubble-particle collision rate. Likewise, the viscosity of the slurry could be decreased by means of pulp vibration, enhancing mass transfer between the slurry phase and froth phase. At the same time, the energy input by pulp pulsation could help to lower the energy barrier for bubble-particle attachment by lowering the induction time of the attachment. In addition, non-selectively attached particles could be stripped off the bubble surface by the inertial forces acting on the particles during pulsation of the pulp. Image analysis of the froth showed that pulsation resulted in a more stable froth, with more numerous, smaller bubbles with higher loadings.