多液滴同步冲击液膜时中间薄膜射流形成机理与动力学特征

采用耦合水平集-流体体积（coupled level set and volume of fluid）方法结合高斯随机分布扰动对多液滴同步冲击平面液膜飞溅过程进行了三维数值模拟,通过分析压力、速度等细微场量分布,揭示了中间薄膜射流的生成、破碎以及后期柱状射流的形成机理。此外,讨论了Weber数、液膜厚度、液滴间距对薄膜射流高度的作用规律。结果表明,在液相加入高斯分布扰动后可以充分反映液滴冲击飞溅特征;相邻液滴颈部区域射流接触后,接触区压力梯度骤然升高,与流体运动间断共同作用下形成向上运动的薄膜射流,随后在流体不稳定性与气相涡流作用下发生破碎;薄膜射流高度随Weber数和液膜厚度升高而增大,液滴间距减小时,射流高度增大。     

Droplet collision processes in an inter-spray impingement system

The main objectives of the present article are in developing and evaluating a new model for the droplet collision, and in discussing the physical feature for the mutual impinging sprays. The new model is originally devised to be capable of predicting the droplet collision-induced breakup accompanied with the formation of satellite droplets. From the well-established conservation equations, the several formulae are newly proposed by consideration of some important regimes such as bounce, coalescence, and stretching and reflexive separation. This formulation makes it possible to predict the number of satellite droplets, and the droplet sizes and velocities. The extensive experiments are conducted for the inter-spray impingement systems under the various conditions to investigate the influence of impinging angle and impingement distance upon the spray characteristics. The droplet sizes and velocities are measured by the phase Doppler particle analyzer system and the distribution of liquid volume fraction is also measured by the self-manufactured patternator. In addition, numerical predictions by the new model and the O’Rourke model are compared with experimental data for the various parameters. It is found that the SMD (Sauter mean diameter) measured in the downstream region after inter-spray impingement are 40% smaller than those for the case of single nozzle. The new model shows vigorous breakup during collision, which is no longer seen in the O’Rourke model.     

HAN基液体推进剂喷雾场液滴尺寸分布的简化模型

为了建立HAN基液体推进剂喷雾场液滴尺寸分布的简化模型,基于最大熵原理,在质量守恒与概率和为定值的约束条件下,用拉格朗日因子法则推导了液滴尺寸分布函数,将该函数应用于HAN基液体推进剂模拟工质喷雾场液滴尺寸的预估;采用相位多普勒粒子动态分析仪(PDA)测量了HAN基液体推进剂模拟工质在1.8~2.6MPa喷射压力下对撞式喷嘴雾化液滴尺寸分布;通过最小二乘法优化Nukiyama-Tanasawa分布函数式中的q值对数目微分分布进行了修正,拟合得到q值与喷射压力p之间的函数关系为q(p)=-0.344p2+1.525p+1.268。结果表明,计算得出的液滴尺寸数目微分分布与HAN基液体推进剂喷雾场实测数据变化趋势相符,表明建立的液滴尺寸分布模型是合理的。     

对置液柱撞击液膜破裂特征

采用高速摄像仪对两液柱撞击产生液膜的破裂过程进行了实验研究。分析了撞击液膜的破裂过程及表面波产生和传播过程,考察了射流直径、喷嘴间距和射流Weber数（We）对撞击液膜破裂的影响;定量分析了液膜表面波频率的变化及液膜破裂后的粒径分布情况。研究结果表明,液膜表面波传播频率随We的增大而增大,并沿液膜径向方向逐渐减小;随着射流We的增加,液膜边缘的液滴脱落频率增加;当We>1000时,液膜表面产生大量液滴团,且液滴团对液膜破裂具有促进作用;液柱撞击液膜发生破裂后90%以上的量纲1液滴粒径分布在0～1之间。     

Dispersion of spray from swirl nozzles

Atomization and dispersion of a liquid in the form of a spray from an atomizing nozzle is associated firstly with the disintegration of a high speed thin liquid sheet into droplets and then with the dynamics of those droplets in the surrounding atmosphere. In the present work a theoretical model has been set up to evaluate the droplet trajectories of an atomized spray from a swirl nozzle as a function of the liquid properties, injection conditions and geometrical dimensions of the nozzle. The theoretical model is based on the analytical solution of the internal hydrodynamics of the nozzle followed by the dynamics of droplets in a stagnant atmosphere. Experiments have been conducted to determine the drop size distributions and the spatial mass flow distribution of the spray. The pertinent governing parameters regarding the spray dispersion are the liquid velocity, viscosity and surface tension of the liquid, the density of the ambient atmosphere and the geometrical dimensions of the nozzle. The theoretical and ex     

蒸汽在过冷液体喷雾上直接接触相变换热过程实验研究

以水为工质,通过实验研究了饱和水蒸汽与过冷水喷雾逆流直接接触冷凝换热过程,考察了不同入口液相温度下液膜厚度及破碎长度变化、液膜轴向及径向的温度分布;基于实验数据计算出了液膜局部传热系数及总传热系数。实验研究的结果表明,直接接触冷凝换热过程中,低入口液相温度时的液膜厚度和破碎长度更大;液膜在径向方向上存在温度梯度变化,液膜表面的温度较高,中心存在1个最低温度;随着液膜运动轴向距离的增大,液膜温度逐渐升高,喷嘴出口处液膜的温升最快,在整个喷雾的冷凝换热过程中,液膜温升占喷雾换热总温升的80%～85%,因此相比液滴,液膜起主要换热作用;喷嘴出口处的局部传热系数最大,并随着轴向距离增大逐渐减小。实验得到总传热系数的值远大于传统的膜状冷凝传热系数,体现了蒸汽-过冷液体喷雾这类直接接触换热方式的优势。     

Clathrate hydrate formation using liquid jets impinging on each other: An observational study using paired water jets or water and methylcyclohexane jets

This paper reports the experimental attempt at visually observing and characterizing the formation and/or growth of clathrate-hydrate crystals accompanying the impingement of two cylindrical jets of either the same liquid, water, or two mutually immiscible liquids, water and methylcyclohexane (MCH), in a difluoromethane (HFC-32) gas phase held at a constant pressure. We observed that the hydrate crystals intermittently emerged on the liquid sheet radially expanding from the point of the jet collision, flowed to the periphery of the sheet, and then engulfed in the droplets when they were disintegrated from the periphery of the sheet. The observations of the droplets falling in the gas phase indicated that even some of the droplets initially containing no hydrate started to be covered by hydrate films presumably as the result of delayed hydrate nucleation on the individual droplets. The measurements of the gas consumption rate due to hydrate formation showed that the ratio of the water-to-hydrate conversion and the efficiency of using the cool energy supplied by the liquid jets for hydrate formation tended to increase as the liquid flow rate per jet increased and thereby intensified the liquid atomization, indicating an increasing proportion of hydrate formation on the droplets with an increase in the liquid flow rate.     

Experimental evaluation and modeling of liquid jet penetration to estimate droplet size in a three-phase riser reactor

In this work,the effects of injecting an evaporating liquid jet into solid–gas flow are experimentally investigated.A new model(SHED model) and a supplementary model(spray model) have also been proposed to investigate some flow-field characteristics in three-phase fluidized bed with the mean relative error 4.3% between model and measured results.Some experiments were conducted to study the influences of flow-field parameters such as liquid volumetric flow rate,injection velocity,jet angle and gas superficial velocity as well as solid mass flux on the jet penetration depth(JPD).In addition,independent variables were experimentally employed to propose two empirical correlations for JPD by using multiple regression method and spray cone angle(SCA) by using dimensional analysis technique.The mean relative errors between the JPD and SCA correlations versus experimental data were 7.5% and 3.9%,respectively.In addition,in order to identify the variable effect,a parametric study was carried out.Applying the proposed model can avoid direct use of expensive devices to measure JPD and to predict droplet size.     

The use of a simplified mathematical model for prediction of burn out of non-uniform sprays

A simple one-dimensional mathematical model is developed which is used to calculate the burning rate of a spray of droplets with an initial Rosin—Rammler size distribution. The model is based on experimental observations of the influence of temperature, partial pressure of oxygen, and droplet size on the burning rate of a single droplet. In addition, balance equations are employed to determine the time dependent parameters of the rate equation. The model is used to show the significance of various input parameters on the combustion rate (i.e. evaporation rate) of the spray. The validity of the model is examined by comparing predicted changes in combustion efficiency with those obtained previously from a single tubular turbojet combustor operating with liquid iso-octane over a range of inlet oxygen concentrations.     

Spray Characteristics of Two‐phase Feed Nozzles

The present study focuses on understanding the spray characteristics of a turbulent gas‐liquid jet (Re_liq = 24,000). Air and water are used as the test fluids. The angles of injection of the two phases upstream of the nozzle are varied (θ = 20°, 45° and 90°) and the effect of carrier gas on the droplet characteristics is are also investigated. The droplet size and velocity are non‐intrusively measured using a Phase‐Doppler Particle Analyzer (PDPA). In some respects, the characteristics of the present two‐phase jet are similar to those noticed in previous studies, while revealing some important differences. The centreline mean droplet velocities (15 ～ 20 m/s) increase in the initial region of the jet, attain a maximum and then decrease at larger distances from the nozzle exit. Most of the entrainment occurs at the tip of the nozzle and the jet expansion rate decreases significantly at distances where the spray velocity profiles become self‐similar. A Lorentz‐type fit has been used to model the normalized radial velocity profiles. The results indicate that the test configuration with θ = 45° may be beneficial for the scenario discussed.     

The Influence of the External Imprinted Flow Field on Capillary Instability Driven Jet Breakup

The breakup of a flowing liquid jet surrounded by a second flowing liquid is governed by capillary instabilities. These instabilities are caused by minor perturbations in the flow field that build up sinusoidal waves at the jet interface and eventually break it up. The phenomenon of such fatal wavelengths was described first by Lord Rayleigh and later extended by several authors to quiescent and flowing liquid‐liquid systems. The jet formation in a co‐flowing environment was only recently investigated. Originating from the forced breakup of liquid jets in air, this paper reports on the breakup mechanism of liquid jets surrounded by a fluid. By using different flow cells and consequently different flow profiles along the jet trajectory, the breakup mechanism given by the material and process parameters could be excited or suppressed. Two questions concerning droplet generation and the droplet size distribution are addressed: the suppression of the fatal wavelength in transient flow fields and the use of external flow fields to support the fatal wavelength.     

EFFECT OF CROSS FLOW ON THE SPRAY CHARACTERISTICS OF AN INDUSTRIAL FEED NOZZLE

The spray characteristics of a scaled-down version of an industrial feed nozzle are studied in the presence of a cross flow. Aerated liquid nitrogen is injected through the nozzle to generate the spray. The aeration rate is low and held constant, while two different liquid flow rates are used to produce the spray. A nonuniform wind profile is chosen to represent the cross flow condition. The droplet diameter and velocity measurements are acquired using a phase-Doppler particle analyzer. The results of the present study indicate that the spray momentum flux determines the extent of the jet bending. The droplets are accelerated significantly in the initial jet region as a result of flashing. However, further downstream of the nozzle, the vaporization of the droplets is considered to be negligible. The size-velocity correlation changes significantly for the case where the spray is shifted due to the cross flow.     

Modeling the disintegration of cavitating turbulent liquid jets using a novel VOF–CIMD approach

In this article, a novel modeling approach capable of simultaneously tracking the events of cavitation, occurring within an injector nozzle, and the liquid jet breakup process, inclusive of spray formation, in the nozzle exterior is presented. A single fluid model, embedded with a Volume-of-Fluid (VOF)-based interface capturing methodology for monitoring the liquid–gas interface dynamics, is supplemented with a vapor transport model for predicting cavitation events triggered within the liquid. While the surface forces due to liquid–gas interfacial instabilities are modeled using a Continuum Surface Force model, a Cavitation-Induced-Momentum-Defect (CIMD) correction approach is employed to account for the effects of cavitation dynamics within the liquid flow. Liquid turbulence is modeled using the well-known RNG k–ε model inclusive of new source terms due to cavitation-induced turbulent kinetic energy production and dissipation. The combined VOF–CIMD methodology is validated by examining the effects of cavitation on the disintegration of turbulent planar liquid jets exiting a two-dimensional nozzle. Different flow Reynolds and Cavitation number configurations are tested. The results predicted by the model including those of the transport vapor dynamics and the liquid jet disintegration processes match, both qualitatively and quantitatively, very well with the available experimental data. In comparison with experimental observation, our model predicts different regimes of liquid jet behavior such as wavy jet, spray formation simultaneously with events of developing or super-cavitation. The numerical approach elaborated in this article can be extensively applied in the design and development of efficient spray applicators and other industrial fluidic devices.     

COMPARISON OF SUPERHEATED STEAM AND AIR OPERATED SPRAY DRYERS USING COMPUTATIONAL FLUID DYNAMICS.

In this paper a numerical simulation of a spray dryer using the computational fluid dynamics (CFD) code Fluent is described. This simulation is based on a discrete droplet model and solve the partial differential equations of momentum, heat and mass conservation for both gas and dispersed phase.

The model is used to simulate the behaviour of a pilot scale spray dryer operated with two drying media : superheated steam and air Considering that there is no risk of powder ignition in superheated steam, we choosed a rather high inlet temperature (973 K). For the simulation, drop size spectrum is represented by 6 discrete droplets diameters, fitting to an experimental droplets size distribution and all droplets are injected at the same velocity, equal to the calculated velocity of the liquid sheet at the nozzle orifice.

It is showed that the model can evaluate the most important features of a spray dryer : temperature distribution inside the chamber, velocity of gas, droplets trajectories as well as deposits on the walls. The model predicts a fast down flowing core jet surrounded by a large recirculation zone. Using superheated steam or air as a drying medium shows only slight differences in flow patterns. Except for the recirculation which is tighter in steam.

The general behaviour of droplets in air or steam are quite the same : smallest droplets are entrained by the central core and largest ones are taken into the recirculation zone. In superheated steam, the droplets penetrate to a greater extent in the recirculation zone. Also, they evaporate faster. The contours of gas temperature reflect these differences as these two aspects are strongly coupled. In both air and steam there is a “cool” zone which is narrower in steam than in air. Finally, the panicle deposit problem seems to be more pronounced in air than in steam.

Adding to the inherent interest in using superheated steam as a drying medium, the model predicts attractive behaviour for spray drying with superheated steam. In particular. under the conditions tested with the model, a higher volumetric drying rate is obtained in superheated steam.     

Prediction of the spray scrubbers’ performance in the gaseous and particulate scrubbing processes

In this study, the spray scrubber's performance in its two classical applications, i.e. gaseous pollutants scrubbing and aerosol removing processes has been simulated by developing two proper mathematical models. The droplets dynamic behavior has been modeled in the Lagrangian framework in which the PSI-Cell model has been applied to obtain the droplets concentration in each tower increment. In order to apply the Lagrangian approach, a mathematical model has been presented for the classical pressure nozzles. One of the unique advantages of the models is their capability to predict the liquid film formation. Moreover, the droplet size distribution and especially the nozzles’ real locations have been incorporated into the models and their probable effects have been investigated. The effects of liquid film formation on both the gaseous and particulate scrubbing efficiency have been probed as well. After validation of the model by some experimental data from the literature, the effect of different parameters such as nozzle locations, nozzle jet velocity and other parameters have been explained.     

Modeling Particle Formation at Spray Drying Using Population Balances

There have been several efforts to simulate the physical processes in a single droplet during spray drying in the last several years, but most of the models do not describe the solid formation in detail. In this work, the development of the microscopic solid structure in a droplet during spray drying is simulated. A radial-symmetric model of the droplet is used to simulate the mass and heat transport. The solid formation at every radial discretization point is obtained by the solution of population balances. This way, the distribution of the particle number density in the droplet depending on the macroscopic process parameters can be predicted. The model equations are solved in a normalized coordinate system to be able to describe the shrinkage of the droplet. The suitability of these population balances will also be discussed. For the validation, monodisperse single droplets consisting of a solution or suspension are dried with constant boundary conditions.     

喷雾冷却中液滴撞击带气泡液膜的数值模拟

在喷雾冷却过程的核态沸腾区,液滴与液膜及液膜内气泡的撞击对过程传热有重要影响。本文建立以水为冷却工质的单液滴撞击带气泡液膜的二维数值模型,模拟研究过程现象和传热规律。结果表明,We为6.94、量纲为1的液膜厚度为0.5（对应液滴速度0.5m/s、液膜厚度1mm）时,撞击过程中液膜扰动不显著、运动形态近似波纹;当We增大到111.11（对应液滴速度2m/s）时,撞击过程中液滴与液膜接合处的表压达到6000Pa,成为颈部射流现象的推动力,并逐步发展形成冠状水花;撞击过程中气泡的存在会阻碍液滴与加热表面的直接接触,但随着气泡的破裂,液滴与加热表面直接接触换热,使撞击点附近表面传热系数远大于其他区域,提高了传热能力,且液膜厚度越小、液滴速度越大,表面传热系数峰值越高。研究结果可为喷雾冷却系统的进一步研究提供理论依据。     

Prediction of Droplet Velocities and Rain Out in Horizontal Isothermal Free Jet Flows of Air and Viscous Liquid in Stagnant Ambient Air

Two‐dimensional phase Doppler anemometer measurements of droplet size and velocity conducted under several nozzle conditions and a systematic variation of the air mass flow quality and liquid phase viscosity show that the air entrainment process is enhanced when keeping all test conditions constant except for increasing the Newtonian liquid viscosity above of that of water. A two‐zone entrainment model based on a variable two‐phase entrainment coefficient is proposed with the normalized axial distance allowing for a change in the jet angle. Thus, the jet perimeter is lower and the breakup length is longer in the case of air/relatively higher viscosity liquid phase. It provides the most accurate reproduction of the experimental droplet velocity in comparison with that of other models in the literature and, hence, is recommended for the prediction of the droplet velocity in the case of two‐phase air/liquid phase free jet flow in stagnant ambient air. A model for predicting the droplet rain out, considering the droplet trajectories in the free jet flow, allows also for an adequate reproduction of the experimental data.     

基于结构曳力的吸收塔内部气液流动模拟

湿法脱硫系统中的吸收塔为多尺度结构构成的复杂系统,其中介观结构对液滴和烟气在塔内流动有重要影响。而液滴和烟气的流动状况直接关系着脱硫系统的脱硫效率及运行阻力。本文基于吸收塔内部结构,建立基于介观结构的曳力模型,并将该模型耦合到多相流模型中,结合商业软件Fluent对吸收塔内部烟气和液滴流动状况进行模拟预测。在模拟结果中,通过对吸收塔二维、三维的压降、速度和液滴分布的模拟计算结果分析和对比,表明模拟结果准确预测了烟气和液滴在吸收塔内流动结构,充分说明了基于介观结构的曳力模型可以很好反映液滴和烟气之间的作用力。     

Effect of cross flow on the spray characteristics of an industrial feed nozzle

The spray characteristics of a scaled-down version of an industrial feed nozzle are studied in the presence of a cross flow. Aerated liquid nitrogen is injected through the nozzle to generate the spray. The aeration rate is low and held constant, while two different liquid flow rates are used to produce the spray. A nonuniform wind profile is chosen to represent the cross flow condition. The droplet diameter and velocity measurements are acquired using a phase-Doppler particle analyzer. The results of the present study indicate that the spray momentum flux determines the extent of the jet bending. The droplets are accelerated significantly in the initial jet region as a result of flashing. However, further downstream of the nozzle, the vaporization of the droplets is considered to be negligible. The size-velocity correlation changes significantly for the case where the spray is shifted due to the cross flow.