PARALLEL ADAPTIVE SIMULATION OF A PLUNGING LIQUID JET

This paper is concerned with three-dimensional numerical simulation of a plunging liquid jet. The transient processes of forming an air cavity around the jet, capturing an initially large air bubble, and the break-up of this large toroidal-shaped bubble into smaller bubbles were analyzed. A stabilized finite element method （FEM） was employed under parallel numerical simulations based on adaptive, unstructured grid and coupled with a level-set method to track the interface between air and liquid. These simulations show that the inertia of the liquid jet initially depresses the pool＇s surface, forming an annular air cavity which surrounds the liquid jet. A toroidal liquid eddy which is subse- quently formed in the liquid pool results in air cavity collapse, and in turn entrains air into the liquid pool from the unstable annular air gap region around the liquid jet.

Spray and mixing characteristics of liquid jet in a tubular gas-liquid atomization mixer

For the design and optimization of a tubular gas-liquid atomization mixer,the atomization and mixing characteristics of liquid jet breakup in the limited tube space is a key problem.In this study,the primary breakup process of liquid jet columnwas analyzed by high-speed camera,then the droplet size and velocity distribution of atomized droplets were measured by Phase-Doppler anemometry(PDA).The hydrodynamic characteristics of gas flow in tubular gas-liquid atomization mixer were analyzed by computational fluid dynamics(CFD)numerical simulation.The results indicate that the liquid flow rate has little effect on the atomization droplet size and atomization pressure drop,and the gas flowrate is themain influence parameter.Under all experimental gas flowconditions,the liquid jet column undergoes a primary breakup process,forming larger liquid blocks and droplets.When the gas flow rate(Qg)is less than 127 m^(3)·h^(−1),the secondary breakup of large liquid blocks and droplets does not occur in venturi throat region.The Sauter mean diameter(SMD)of droplets measured at the outlet is more than 140μm,and the distribution is uneven.When Qg>127 m^(3)·h^(−1),the large liquid blocks and droplets have secondary breakup process at the throat region.The SMD of droplets measured at the outlet is less than 140μm,and the distribution is uniform.When 127<Qg<162m^(3)·h^(−1),the secondary breakup mode of droplets is bag breakup or pouch breakup.When 181<Qg<216m^(3)·h^(−1),the secondary breakup mode of droplets is shear breakup or catastrophic breakup.In order to ensure efficient atomization and mixing,the throat gas velocity of the tubular atomization mixer should be designed to be about 51 m·s^(−1) under the lowest operating flow rate.The pressure drop of the tubular atomization mixer increases linearly with the square of gas velocity,and the resistance coefficient is about 2.55 in single-phase flow condition and 2.73 in gas-liquid atomization condition.

Turned Trochoidal Disturbance on a Liquid Jet Surface

This paper shows that a turned trochoidal function disturbance may lead to peripheral drops production. The resulting model is used to describe that a turned trochoidal disturbance leads to peripheral drops production on the liquid jet surface without the necessity for superimposed disturbances. The trochoid is a non-unique parametric function. Only non-unique parametric functions disturbances may lead to peripheral drops production. The trochoidal function disturbance is decomposed to Fourier series. Every Fourier element receives an amplification factor in accordance to the Rayleigh inviscid jet model. Peripheral drops are received on the jet surface. The paper shows that all trochoidal disturbance functions, prolate cycloid, cycloid and curtate cycloid have a capability of peripheral drops producing. A limited capability of peripheral drops production is introduced for the trochoidal curtate cycloid. Produced drops size are reduced for increasing the jet velocity and wave number. Smaller drops are also received by transition from the prolate cycloid to curtate cycloid disturbance.

Skin friction and heat transfer of liquid jet over a continuous moving horizontal hot plate

The skin friction and heat transfer occurring in the laminar boundary layerwhich caused by a vertical liquid jet impinging on a continuously moving horizontal plate werestudied. Similarity solutions for shear stress and heat distribution were obtained by using thehooting technique. The results show that the skin friction decreases with an increase of velocityparameter, the evolving of thermal boundary decrease with increasing in Prandtl number, but increasewith increasing of velocity parameter.

Spray Atomization and Structure of Supersonic Liquid Jet with Various Viscosities of Non-Newtonian Fluids

These experimental investigations are designed to study shock wave characteristics and spray structure. Supersonic liq- uid jets injected into ambient fields are empirically studied using projectile impacts in a two-stage light gas gun. This study looks primarily at the design of the nozzle assembly, the tip velocity of the high speed jet, the structure of the spray jet and the shock wave generation process. The supersonic liquid jets were visualized using an ultra high-speed camera and the schlieren system for visualization to quantitatively analyze the shock wave angle. The experimental re- sults with straight cone nozzle types and various non-Newtonian fluid viscosities are presented in this paper. The effects of nozzle geometry on the jet behavior are described. The characteristics of the shock wave generation and spray jet structure were found to be significantly related to the nozzle geometry. The expansion gases accelerated the projectile, which had a mass of 6 grams, from 250 m/s. As a result, it was found that the maximum jet velocity appeared in the liquid jet with high viscosity properties. Supersonic liquid jets, which occurred at the leading edge the shock waves and the compression waves in front of the jets, were observed. Also, the shock waves significantly affected the atomization process for each spray droplet.

STUDY OF DOWNFLOW LIQUID JET LOOP REACTOR

The hydrodynamic and mass transfer characteristics of a downflow liquid jet loop reactor (D-JLR) were studied experimentally with water/air and CMC (carboxymethyl cellulose) solution/air systems. The effects of the geometry, the operating parameters and the physical properties of the liquid phase on gas hold-up and mass transfer coefficient were measuered. Compared with other types of gas-liquid reactor, D-JLR shows higher mass transfer coefficient and lower energy dissipation rate, the optimum diameter ratio was found to be about 0.42-0.6. A model for gas hold-up in D-JLR with Newtonian and non-Newtonian fluids has been developed on the basis of the equation of motion and the concept of average mixing length. The prediction of gas hold-up with the model agreed with the experimental results of this work.

On the trajectory of nonturbulent liquid jets in subsonic crossflows at different density ratios

Numerical simulations using volume of fluid(VOF)method are performed to study the impact of liquid-to-gas density ratio on the trajectory of nonturbulent liquid jets in gaseous crossflows.In this paper,large eddy simulation(LES)turbulence model is coupled with the VOF method to describe the turbulence effects accurately.In addition,dynamic adaptive mesh refinement method with two refinement levels is applied to refine the size of the cells located at gas-liquid interface.Density ratio is changed from 10 to 5000 while other nondimensional numbers are kept constant.Large density ratios are considered in this paper since they are common in many practical applications such as solution precursor/suspension plasma sprays.Our simulations show that the penetration height,especially in the farfield,increases as the density ratio increases.A general correlation for the jet trajectory,which can be used for a wide range of density ratios,is developed based on our simulation results.

Scalable Jet-Based Fabrication of PEI-Hydrogel Particles for CO_(2) Capture

The capture,regeneration,and conversion of CO_(2) from ambient air and flue gas streams are critical aspects of mitigating global warming.Solid sorbents for CO_(2) absorption are very promising as they have high mass transfer areas without energy input and reduce emissions and minimize corrosion as compared to liquid sorbents.However,precisely tunable solid CO_(2) sorbents are difficult to produce.Here,we demonstrate the high-throughput production of hydrogel-based CO_(2)-absorbing particles via liquid jetting.By wrapping a liquid jet consisting of an aqueous solution of cross-linkable branched polyethylenimine(PEI)with a layer of suspension containing hydrophobic silica nanoparticles,monodisperse droplets with a silica nanoparticle coating layer was formed in the air.A stable Pickering emulsion containing PEI droplets was obtained after these ejected droplets were collected in a heated oil bath.The droplets turn into mm-sized particles after thermal curing in the bath.The diameter,PEI content,and silica content of the particles were systematically varied,and their CO_(2) absorption was measured as a function of time.Steam regeneration of the particles enabled cyclic testing,revealing a CO_(2) absorption capacity of 6.5±0.5 mol kg^(−1)solid PEI in pure CO_(2) environments and 0.7±0.3 mol kg^(−1)solid PEI for direct air capture.Several thousands of particles were produced per second at a rate of around 0.5 kg per hour,with a single nozzle.This process can be further scaled by parallelization.The complete toolbox for the design,fabrication,testing,and regeneration of functional hydrogel particles provides a powerful route toward novel solid sorbents for regenerative CO_(2) capture.

Mixing Characteristics of Pulsed Air-assist Liquid Jet into an Internal Subsonic Cross-flow

Penetration depth,spray dispersion angle,droplet sizes in breakup processes and atomization processes are very important parameters in combustor of air-breathing engine.These processes will enhance air/fuel mixing inside the combustor.Experimental results from the pulsed air-assist liquid jet injected into a cross-flow are investigated.And experiments were conducted to a range of cross-flow velocities from 42～136 m/s.Air is injected with 0～300kPa,with air-assist pulsation frequency of 0～20Hz.Pulsation frequency was modulated by solenoid valve.Phase Doppler Particle Analyzer(PDPA) was utilized to quantitatively measuring droplet characteristics.High-speed CCD camera was used to obtain injected spray structure.Pulsed air-assist liquid jet will offer rapid mixing and good liquid jet penetration.Air-assist makes a very fine droplet which generated mist-like spray.Pulsed air-assist liquid jet will introduce additional supplementary turbulent mixing and control of penetration depth into a cross-flow field.The results show that pulsation frequency has an effect on penetration,transverse velocities and droplet sizes.The experimental data generated in these studies are used for a development of active control strategies to optimize the liquid jet penetration in subsonic cross-flow conditions and predict combustion low frequency instability.

STUDY ON FLUID MECHANICS OF HYPERVELOCITY LIQUID JETS

The fluid mechanics in the generation of hyper veloeity water jets, light oiljets and glycerin jets was studied. Framing high-speed photography and single-shot photography wereused to observe the jets directly. The purposes of this study is to investigate the disintegrationand atomization processes at the velocity of 2km/s-3km/s as well as the auto-ignition andself-combustion of the light oil jets. Therefore, in the jet velocity measurement in addition to thehigh-speed photography, the results by other methods such as the laser beams cutting method and theshock wave detection using pressure transducers were also given. In the observation of the jetsevents, the illumination phenomenon was found, which may be regarded as the result of theauto-ignition and combustion of the light oil jets. Finally, the Munroe jet was studied.

Formation of radially expanding liquid sheet by impinging two round jets

A thin circular liquid sheet can be formed by impinging two identical round jets against each other. The liquid sheet expands to a certain critical radial distance and breaks. The unsteady process of the formation and breakup of the liquid sheet in the ambient gas is simulated numerically. Both liquid and gas are treated as incompressible Newtonian fluids. The flow considered is axisymmetric. The liquid-gas interface is modeled with a level set function. A finite difference scheme is used to solve the governing Navier-Stokes equations with physical boundary conditions. The numerical results show how a thin circular sheet can be formed and break at its circular edge in slow motion. The sheet continues to thin as it expands radially. Hence, the Weber number decreases radially. The Weber number is defined as ρu 2 h/σ, where ρ and σ are, respectively, the liquid density and the surface tension, and u and h are, respectively, the average velocity and the half sheet thickness at a local radial location in the liquid sheet. The numerical results show that the sheet indeed terminates at a radial location, where the Weber number reaches one as observed in experiments. The spatio-temporal linear theory predicts that the breakup is initiated by the sinuous mode at the critical Weber number We c =1, below which the absolute instability occurs. The other independent mode called the varicose mode grows more slowly than the sinuous mode according to the linear theory. However, our numerical results show that the varicose mode actually overtakes the sinuous mode during the nonlinear evolution, and is responsible for the final breakup. The linear theory predicts the nature of disturbance waves correctly only at the onset of the instability, but cannot predict the exact consequence of the instability.

EVALUATION OF THE CUMULATIVE FORMATION OF HIGH-SPEED LIQUID JETS

This paper describes the generation of pulsed, high-speed liquid jets usingthe cumulation method. This work mainly includes (1) the design of the nozzle assembly, (2) themeasurement of the jet velocity and (3) flow visualization of the injection sequences. Thecumulation method can be briefly described as the liquid being accelerated first by the impact of amoving projectile and then further after it enters a converging section. The experimental resultsshow that the cumulation method is useful in obtaining a liquid jet with high velocity. The flowvisulization shows the roles of the Rayleigh-Tay-lor and Kelvin-Helmholtz instabilities in thebreakup of the liquid depend on the jet diameter and the downstream distance. When the liquid jetfront is far downstream from the nozzle exit, the jet is decelerated by air drag. Meanwhile, largecoherent vortex structures are formed surrounding the jet. The liquid will break up totally by theaction of these vortices. Experimental results showing the effect of the liquid volume on the jetvelocity are also included in this paper. Finally, a method for measuring the jet velocity bycutting two carbon rods is examined.

High-Resolution Heat Transfer Coefficients Measurement for Jet Impingement Using Thermochromic Liquid Crystals

A high-resolution testing technique named liquid crystal thermography is used for the experimental study on jet array impingement to map out the distribution of heat transfer coefficients on the cooling surface. Effects of the impingement distance, the impinging hole arrangement and the initial crossflow on heat transfer characteristics are investigated. The thermal images show truly the features of local heat transfer for each jet impingement cooling. The applications of thermochromic liquid crystal are successful in the qualitative and quantitative measurement for heat transfer coefficients distribution.

Mechanism of drilling rate improvement using high-pressure liquid nitrogen jet

To address the high rock strength and low drilling rate issues in deep oil/gas and geothermal exploitation, we performed mechanical property tests on three kinds of rock samples(granite, shale and sandstone) subjected to liquid nitrogen(LN2) cooling and conducted rock-breaking experiments using LN2 jet. Rock-breaking characteristics and mechanisms of LN2 jet, heat transfer features between LN2 and rock and thermal stress evolution in rock were analyzed. A novel high-pressure LN2 jet assisted drilling method was proposed accordingly. The study results show that LN2 thermal shock can significantly reduce uniaxial compression strength and elastic modulus of rock. Rock damage and corresponding mechanical deterioration become more pronounced with increasing rock temperature. The LN2 jet has merits of high rock-breaking efficiency and low threshold rock-breaking pressure. Rock failure under LN2 jet impact is characterized by large volume breakage and the rock-breaking performance becomes more significant with increase of rock temperature. Under the impact of LN2 jet, the damage of granite is the most remarkable among the three rock samples. Thus, this method works better for high temperature granite formations. It has a good application prospect in speeding up drilling rate in deep hot dry rock geothermal reservoirs.

Studies of flow field characteristics during the impact of a gaseous jet on liquid–water column

Both experimental and numerical studies were presented on the flow field characteristics in the process of gaseous jet impinging on liquid–water column. The effects of the impinging process on the working performance of rocket engine were also analyzed. The experimental results showed that the liquid–water had better flame and smoke dissipation effect in the process of gaseous jet impinging on liquid–water column. However, the interaction between the gaseous jet and the liquid–water column resulted in two pressure oscillations with large amplitude appearing in the combustion chamber of the rocket engine with instantaneous pressure increased by 17.73% and 17.93%, respectively. To analyze the phenomena, a new computational method was proposed by coupling the governing equations of the MIXTURE model with the phase change equations of water and the combustion equation of propellant. Numerical simulations were carried out on the generation of gas, the accelerate gas flow, and the mutual interaction between gaseous jet and liquid–water column.Numerical simulations showed that a cavity would be formed in the liquid–water column when gaseous jet impinged on the liquid–water column. The development speed of the cavity increased obviously after each pressure oscillation. In the initial stage of impingement, the gaseous jet was blocked due to the inertia effect of high-density water, and a large amount of gas gathered in the area between the nozzle throat and the gas–liquid interface. The shock wave was formed in the nozzle expansion section. Under the dual action of the reverse pressure wave and the continuously ejected high-temperature gas upstream, the shock wave moved repeatedly in the nozzle expansion section, which led to the flow of gas in the combustion chamber being blocked, released, re-blocked, and re-released. This was also the main reason for the pressure oscillations in the combustion chamber.

Interaction between a Liquid Surface and an Impinging Gas Jet

The water-air and Wood’s metal-air systems are modeled by means of Computational Fluid Dynamics to study the interaction between a liquid surface and an impinging air jet under the near field blowing conditions. The effect of the air jet velocity, the height of the injection lance, and the density of the liquid on the depth of the formed cavity is numerically studied. The CFD results of the cavity depth are compared with results previously reported by other authors. The emergence of the splashing phenomenon is predicted in terms of the critical velocity for each liquid-air system. Besides, the blowing number indicates that the drop generation rate is not significant for jet velocities below the critical velocity, and therefore neither the splashing is significant.

同轴旋转可压缩气流中黏性液体射流形态研究

采用射流线性稳定性分析方法,考虑液体黏性、周围气流的同轴旋转运动以及可压缩性的条件下,建立了描述同轴旋转可压缩气流中黏性液体射流的数学模型,并进行了验证,研究了气流量纲为1旋转强度以及流体物性对液体射流不稳定形态的影响.研究表明:周围气流的旋转速度较小时,对射流起促稳作用,继续增大气流量纲为1旋转强度,开始对射流起促分裂作用;且随着气流旋转强度的增大,射流扰动沿周向方向发展,射流柱变的高度不对称.在研究参数范围内,气体可压缩性和气/液密度比均能促进射流的失稳,并会影响射流空间形态,尤其是在周向方向上能够改变射流的占优模式,增强射流的不对称性;液体黏性以及表面张力对射流均具有增强稳定性的作用.

滴状向射流模式转变的试验研究

液体通过内径细小的喷嘴或孔口排到周围介质中,当出口压力或流量增大时,液体在毛细管末端出流的模式将从周期滴状(PD)向混乱状态(DF)再向射流状态(J)进行转变.通过改变注射泵的流量,运用高速数码相机分别记录了去离子水和无水乙醇毛细管雾化的3种典型雾化状态(滴状、混乱、射流),获得雾化状态转变时的临界韦伯数,结果表明:在周期滴落过程中,随着孔口内径增加,液滴的形态会由球形逐渐变为梨形;随着流量的增加,两种流体均从滴状模式经过混乱状态,逐渐到达射流模式;与去离子水相比不同的是,无水乙醇的过渡状态存在范围较小,只存在于内径为0.33~0.60 mm,并且极易从周期滴状模式直接过渡到射流模式;去离子水和无水乙醇雾化模式转变的差异是两种流体的表面张力不同所致,其滴状到射流模式转变对应的临界韦伯数能够实现雾化模式转换过程的预测.

液体射流撞壁液膜表面波形成演变机理及其影响

为揭示液体火箭发动机推力室内撞壁液膜形成演变机理,并优化液膜冷却设计,采用高速摄像技术实验研究了液体射流撞壁液膜表面波特征,考察了射流雷诺数(1255<Re<14116,1.6 m/s<u<18 m/s)和撞击距离L/d=30,60和90(d为喷嘴直径)对表面波频率、波间距及液滴飞溅的影响。结果表明,撞击点附近主要存在由射流动能引起的撞击波,高Re下液膜表面波前缘横向弯曲变形,呈现不规则锯齿状。当1960<Re<3920时,随Re的增加液膜表面波主频增大,频谱分布范围变宽。自撞击点向下游运动过程中波的主频、波速和波间距均不断减小。当撞击距离大于射流破碎长度,射流撞壁转变成连续液滴撞壁。对于连续液滴撞壁和高Re射流撞壁,表面波边缘沿壁面法线方向形成冠状薄膜,由于惯性力和表面张力的作用,薄膜破碎拉丝形成液滴,液滴溅射率随撞击距离的增加而增大。本文揭示了液膜撞击点附近大尺度波主要由射流表面扰动引起,并阐明了大部分飞溅液滴由表面波边缘薄液膜的破碎产生。

喷水推进器进水流道在来流含气条件下的内部流动特性分析

为了研究喷水推进器进水流道在来流含气条件下的内部流动特性,以轴流式喷水推进器为研究对象,对喷水推进器在不同来流含气条件下进行全流域定常数值仿真,得到了不同来流含气条件下进水流道各截面气相体积分数分布特征和不均匀度变化规律.计算结果表明:在低航速区间时,进水流道内流量小、流速低,受管道几何结构影响,下部弯管处流体堆积现象明显,随着航速的升高,流量增大、流速提高,流体在上部弯管处产生流动分离,导致堆积区向上部弯管转移;在来流含气条件下,进口含气率和气泡直径的增大,会导致气液两相干涉作用变强,造成气体堆积现象加剧,影响流面的不均匀度.