Flow Regime Transition to Wavy Dispersed Flow for High-Pressure Steam/Water Two-Phase Flow in Horizontal Pipe

A wavy-dispersed flow regime was observed between slug and annular-dispersed flow regimes in TPTF high-pressure steam/water horizontal pipe experiments, employing the video probe visual observation. The onset OF entrainment was identified to cause slug to wavy-dispersed flow transition. The wavy-dispersed flow regime extended towards lower gas flow rates as pressure was increased. Furthermore, it was found that the gas-liquid relative velocity for the onset of entrainment decreases significantly, resulting in decrease in the minimum void fraction. Consequently, the slug flow regime was found to disappear for pressures above 8.6MPa, as observed in the previous TPTF experiments. Applicability of available models and correlations on the onset of entrainment was assessed against the TPTF data. Steen-Wallis parameter correlated the data well when the superficial gas velocity term in this parameter 1s replaced by the gas-liquid relative velocity.     

Development of Interfacial Friction Model for Two-Fluid Model Code against Countercurrent Gas-Liquid Flow Limitation in PWR Hot Leg

An interfacial friction model for two-fluid model code has been developed for the counter- current gas-liquid flow limitation at hot leg in a pressurized water reactor. Firstly, using a typical two-fluid model code TRAC-PF1/MOD1, we analyzed whether the interfacial friction model under countercurrent stratified flow by Ohnuki et al., which has been verified with an envelope model at steady state, functions well for the dynamic calculation with the two-fluid model code or not. It was found from the analyses that the model by Ohnuki et al. should be combined with a suitable interfacial friction model for the slug flow regime in hot leg. Based on flow observation in a small scale air-water experiment, models at the bend of hot leg and in the roll wave regime in the horizontal flow path of hot leg were newly developed as the model in the slug flow regime and the slug flow model was combined with the model by Ohnuki et al., The validity of the present model was confirmed with the data under various conditions of scales, pressures and fluid combinations (inner diameter: 0.025~0.75m, pressure: 0.1~7.1 MPa and air-water or steam-water).     

起伏振动状态下倾斜管气液两相流型实验研究

在起伏振动状态下对倾斜管内气液两相流进行了实验研究。将振动装置与两相流实验回路相结合,改变管道倾角和振动频率、振幅,分析其对流型转变的影响。研究发现振动条件下的流型与稳态下相比有较大区别,通过对流型分类发现两种新流型为珠状流、起伏弹状流。绘制流型转换边界图结果表明,倾角的增加使起伏弹状流在流型图中的区域扩张,其他流型的区域相对减小。振动频率和振幅对流型转换边界的影响相似,振动频率和振幅增加会使珠状流和准弹状流区域有所增加。3种变化因素中振动频率对流型转变的影响最大。     

摇摆运动对弹状流向搅拌流转变边界的影响研究

流型的精确识别对于改进两相压降的计算精度有重要意义。本文利用静止时实验数据对现有弹状流向搅拌流的转变准则进行了验证评价。在此基础上选择符合最好的转变准则，引入摇摆运动产生的瞬变外力场，构建了摇摆条件下弹状流 搅拌流转变准则，利用摇摆条件下的实验数据进行了验证。对转变准则进行分析，结果表明，在现有工况范围内，随摇摆振幅的增大，弹状流向搅拌流转变略有提前，而摇摆周期对流型转变的影响可忽略。     

Study on Influence of Rolling Motion on Transition Boundary of Slug Flow to Churn Flow

The accurate identification of flow pattern is of great significance to improve the calculation accuracy of two-phase pressure drop. In this paper, the existing transition criteria of slug flow to churn flow were verified and evaluated using the static experimental data. On this basis, the best transition criterion was selected and the transition criterion between slug flow and churn flow under rolling condition was constructed by introducing the transient external force field produced by rolling motion, which was verified by the experimental data. The transition criterion was analyzed. The results show that with the increase of rolling amplitude, the transition of slug flow to churn flow advances a little, while the influence of rolling period on transition boundary can be ignored.     

竖直管内弹状流向搅混流转变界限的判定

本文对两种不同管径的竖直管内弹状流向搅混流转变界限的判定进行了实验研究.实验发现,在弹状流向搅混流转变的过程中,管内压力会随气体流量的增加出现先降低后上升的非单调性变化.通过对管内压力和摩阻变化的理论分析,并在可视化观察的基础上,提出压力变化曲线的转折点即为搅混流产生的起始点.然后根据实验数据,绘出两种不同管径下的搅混流转变界限.     

Mechanistic Model of Slugging Onset in Horizontal Circular Tubes

A new model of the transition mechanism from stratified gas-liquid two-phase flow into a slug pattern in horizontal circular tubes was developed. This model incorporated the contribution of liquid kinematic energy to wave growth on the interphase surface. The transition limit was numerically determined so as to allow a wave crest to reach the top wall of the horizontal tubes.

Air-water experiments were performed to obtain data for comparison with model predictions. Three test sections were used. They had different inner diameters and the largest test section had a rod bundle inside it. Predictions of liquid flow rate at the flow pattern transition boundary, with given gas flow rates, were within data scatter of the experiments. This suggested that the present model satisfactorily described effects of tube size and internal structure on slugging onset in horizontal circular tubes.     

Vertically Downward Two-Phase Flow, (II)

Following Part (I) of the present paper, which presented the experimental results obtained on the void distribution and average void fraction shown by nearly fully-developed, vertically downward two-phase flow of air-water mixture, this Part (?) covers the flow regime transition criteria among the three basic flow regimes : bubbly, slug and annular flows. The annular flow further was divided into two subregions of falling film flow and annular drop flow. The general situation of the transition criteria is as follows : (1) bubbly-to-slug flow transition occurs when the local void fraction in the central region of the tube is 0.3; (2) slug-to-annular drop flow transition criterion is given as a case which equations giving average void fraction for the slug flow and the annular flow are simultaneously satisfied; (3) slug-to-falling film flow transition occurs when the pressure difference between the crest of large wave and the bottom overcomes the surface tension; (4) the occurrence of liquid droplets from wave crests gives the transition criterion between the falling film flow and the annular drop flow.

These criteria were correlated to predict each flow regime boundary respectively considering flow mechanisms or from experimental results. The correlations obtained were compared with published flow regime maps for atmospheric air-water flow and showed satisfactory agreement.     

Estimation of Shear Stress in Counter-Current Annular Flow

The accuracy to which the friction factor is correlated is important in counter-current flow (CCF) analysis using a two-fluid model. Current two-fluid model codes use correlations of friction factors developed for co-current flow, or correlations developed on the assumption of zero wall shear stress. An assessment of two-fluid model codes with these existing correlations shows that the downward flow rate of water is overestimated. An analytical model is developed to calculate the shear stress profile in a liquid film of the CCF in order to obtain information on the shear stress between the interface and the wall. Both this analysis and Bharathan's CCF data show that the wall shear stress acting on the falling water film is approximately of same order as the interfacial shear stress, and the correlation for co-current flow cannot be applied to CCF. Tentative correlations of interfacial and wall friction factors are developed based on the results of the present study.     

起伏非线性振动下倾斜上升管内气液两相流流型转变分析

本文对不同起伏非线性振动条件下倾斜上升管内气液两相流流型及转变规律进行实验研究,借助高速摄影仪对起伏非线性振动状态下气液两相流的流型进行分类。结果表明,倾斜上升管气液两相流有弥散泡状流、起伏弹状流、准弹状流和液环式环状流4种。对弥散泡状流向起伏弹状流和准弹状流向液环式环状流的转变机理进行分析,在稳定状态转变机理的基础上引入振动参数,建立了考虑振动加速度的关系式。本文建立的流型转变关系式与实验结果吻合较好。     

Analysis of Gas-liquid Two-phase Flow Pattern Transition in Inclined Rising Pipe under Fluctuant Nonlinear Vibration Condition

The flow pattern and transition law of gas-liquid two-phase flow in inclined rising pipe under different fluctuant nonlinear vibration conditions were studied experimentally. The flow patterns of gas-liquid two-phase flow under fluctuant nonlinear vibration condition were identified by using high-speed camera. The results show that there are four kinds of patterns in inclined rising pipe with diffuse bubble flow, fluctuant slug flow, proto slug flow and liquid-ring annular flow. The mechanisms of the transition from diffuse bubble flow to fluctuant slug flow, proto slug flow to liquid-ring annular flow were derived, the vibration parameter was added on the basis of the steady state transition mechanism and the flow pattern transition formulae considering the vibration acceleration were established. The results show that the flow pattern transition formulae established in this paper agree well with the experimental results.     

Slug to annular flow transition during boiloff in a rod bundle under high-pressure conditions

High-pressure boiloff experiments in a wide range of bundle powers by using the Two-Phase Flow Test Facility (TPTF) were conducted. Two kinds of boiloff patterns were observed in these experiments. One is the boiloff pattern in a low bundle power, in which the dryout points of rods locate at a certain elevation in the bundle because the mixture level controls the dryout points. The other is the boiloff pattern in a high bundle power, in which the clear mixture level can not be observed and the dryout points of rods locate in a wide range of vertical directions. The vertical scatter of the dryout points is considered to be due to the break of the thin water film on the heater rods under the annular flow pattern.A simple model to predict the slug to annular flow transition in the rod bundle is proposed. In the model, the slug to annular flow transition takes place when the interferences of the water films on the neighboring rods cease. The model appeares to give good predictions of the previous flow transition experiment conducted in a rod bundle. The slug-annular transition below the dryout points was predicted with the present model in the high power boiloff experiments of TPTF. No slug-annular transition below the dryout points is predicted with the present model in the low power boiloff experiments.     

R134a卧式螺旋管内沸腾两相流型与传热特性实验研究

在蒸发温度为5～15 ℃、热流密度范围为5～20 kW·m^-2、工质质量流速变化范围为50～500 kg·m^-2·s^-1和干度范围为0.01～0.9的条件下,对R134a在卧式螺旋管内的沸腾两相流型及传热特性进行了实验研究。利用可视化技术对流型进行了观察分析,发现在相同工况条件下,卧式螺旋管上升段和下降段的流型有所不同,特别是形成环状流之前存在明显不同的过渡流型,分别为波环状流型和超大气弹流型,因此,对上升段和下降段分别建立了流型图。获得了传热系数随工质的干度、质量流速和热流密度等参数的变化关系,发展了R134a在卧式螺旋管内流动沸腾传热系数的计算关联式。     

基于竖直圆管空气-水两相流实验的相间曳力模型研究

研究两相流相间阻力特性对系统程序关键本构模型封闭具有重要意义。本文基于竖直圆管开展了空气-水两相流实验,采用四探头电导探针对空泡份额、气泡弦长和界面面积浓度等气泡参数的径向分布进行了测量。结果表明空泡份额和气泡弦长呈现“核峰型”分布,而界面面积浓度并没有表现出随流速的单调关系。进一步开发了泡状流和弹状流的相间曳力模型,考虑了液相表观流速与管径对气泡尺寸分布的影响,建立了临界韦伯数与不同液相流速的关系。计算得到的空泡份额和界面面积浓度与实验数据整体符合较好,验证了模型的可靠性,为两相流相间阻力特性研究提供参考意义。     

Two-group interfacial area transport in vertical air–water flow: I. Mechanistic model

In a companion paper, mechanistic models of major fluid particle interaction phenomena involving two bubble groups have been proposed. The prediction of interfacial area concentration evolution using the one-dimensional two-group transport equation and evaluation with experimental results are performed in the paper. These evaluations are based on solid databases for a 2-inch air–water loop with sufficient information on the axial development and the radial distribution of the local parameters. Model evaluation strategies are systematically analyzed. The predictions for the interfacial area concentration evolution demonstrate satisfactory accuracy. The proposed model predicts a smooth transition across the bubbly-to-slug flow regime boundary and demonstrates mechanisms for the generation and development of the cap/slug bubble group. The two-group interfacial area transport equation covers a wide range from bubbly, slug, to churn turbulent flow regimes for adiabatic air–water upward flow in moderate diameter pipes. The generality of the interfacial transport model is also discussed.     

Interfacial wave patterns and their transitions in gas-liquid two-phase flow through horizontal ducts

The interfacial wave patterns and their transition characteristics in gas-liquid two-phase flow through rectangular and circular horizontal conduits are investigated.The interfacial waves were traced and recorded by using conductance probes.With the experimental observation and the analysis,some kinds of different interfacial waves were distinguished and dfined,and then the interfacial wave patterns were given,which were compared with previous results.The interfacial wave transition mechanism between each interfacial wave pattern was discussed and a set of transition equations were presented to predict the interfacial wave pattern transitions.The repdictive results are in good agreement with the experimental data.     

Hydraulic Performance of Small Bending Radius Helical Coil-Pipe

Helical steam generator or helical heat exchanger is extensively used in high-temperature gas cooling reactor, fast breeder reactor, pressurized water reactor using in ship propulsion and areas of electro-power, chemical industry and petroleum industry. The purpose of this paper is to research the hydraulic performance of small bending radius helical coil-pipe used in HTR-10. Research for hydraulic performance of small bending radius helical pipe was carried out on the HTR-10 steam generator experimental facility. Based on the experimental results, it was confirmed that for helical pipe the critical Reynolds number (Re) is much greater than in a straight pipe and is a function of De. Formulas for Re of single-phase flow structure transition, friction coefficient of single-phase flow, and two-phase flow friction factor are obtained. Experience formulas of small bending radius helical pipe are recommended for design and research.     

Two Phase Pressure Drop Multipliers and ICE Technique Applied in a Multibubble Slug Ejection Model

Two-phase flow of coolant is described in subassemblies of liquid metal fast breeder reactors by a one-dimensional two-phase multibubble slug ejection model. Vapor flow of sodium between the slugs is modeled as annular flow with a moving liquid film of variable thickness wetting structural surfaces. The two-phase pressure drop multiplier concept introduced by Lockhart-Martinelli is used in the frame of the slug ejection model with an algorithm that simultaneously computes interfacial friction coefficient and liquid film axial velocity distribution. The implicit continuous Eulerian (ICE) technique developed by Harlow and Amsden for computing pressure distribution in a continuum medium is applied in heterogeneous two-phase flow to the governing equations for the vapor phase. This solution method is more stable than the numerical solution by finite differences of the vapor momentum equation.     

Two-group interfacial area transport in vertical air-water flow -II. Model evaluation

In a companion paper, mechanistic models of major fluid particle interaction phenomena involving two bubble groups have been proposed. The prediction of interfacial area concentration evolution using the one-dimensional two-group transport equation and evaluation with experimental results are performed in the paper. These evaluations are based on solid databases for a 2-inch air-water loop with sufficient information on the axial development and the radial distribution of the local parameters. Model evaluation strategies are systematically analyzed. The predictions for the interfacial area concentration evolution demonstrate satisfactory accuracy. The proposed model predicts a smooth transition across the bubbly-to-slug flow regime boundary and demonstrates mechanisms for the generation and development of the cap/slug bubble group. The two-group interfacial area transport equation covers a wide range from bubbly, slug, to churn turbulent flow regimes for adiabatic air-water upward flow in moderate diameter pipes. The generality of the interfacial transport model is also discussed.     

基于漂移流模型的矩形通道内泡状流-弹状流转变准则

以空气和水为工质,对竖直向上矩形通道(40 mm×1.41 mm,40 mm×10 mm)两相流流型特性进行了可视化研究。气液相表观速度分别为0.01~0.59 m/s和0.02~3.72 m/s。基于3个经典的泡状流向弹状流转变准则,考虑矩形通道的尺寸效应,导出了泡状流向弹状流转变时的临界空泡份额为0.23。以窄边宽度2.5 mm为界,将矩形通道分为小通道和常规通道两类,对泡状流向弹状流转变准则进行修正,修正准则能很好地预测实验值。为进一步验证修正准则的准确性和适用性,将修正准则与Mishima、Wilmarth和Sadatomi等的实验数据进行了对比,结果显示修正准则同样具有较好的预测效果。