Mechanism of Calcium Carbonate Scale Deposition under Subcooled Flow Boiling Conditions

Fouling of heat transfer surfaces during subcooled flow boiling is a frequent engineering problem in process industries. It has been generally observed that the deposits in such industrial systems consist mainly of calcium carbonate （CaCO3）, which has inverse solubility characteristics. This investigation focused on the mechanism to control deposition and the morphology of crystalline deposits. A series of experiments were carried out at different surface and bulk temperatures, fluid velocities and salt ion concentrations. It is shown that the deposition rate is controlled by different mechanism in the range of experimental parameters, depending on salt ion concentration. At higher ion concentration, the fouling rate increases linearly with surface temperature and the effect of flow velocity on deposition rate is quite strong, suggesting that mass diffusion controls the fouling process. On the contrary, at lower ion concentration, the fouling rate increases exponentially with surface temperature and is independent of the velocity, illustrating that surface reaction controls the fouling process. By analysis of the morphology of scale, two types of crystal （calcite and aragonite） are formed. The lower the temperature and ion concentration, the longer the induction period and the higher the percentage of calcite nreciDitated.

Numerical Prediction for Subcooled Boiling Flow of Liquid Nitrogen in a Vertical Tube with MUSIG Model

Multiple size group （MUSIG） model combined with a threedimensional twofluid model were em ployed to predict subcooled boiling flow of liquid nitrogen in a vertical upward tube. Based on the mechanism of boiling heat transfer, some important bubble model parameters were amended to be applicable to the modeling of liquid nitrogen. The distribution of different discrete bubble classes was demonstrated numerically and the distribu tion patterns of void fraction in the wallheated tube were analyzed. It was found that the average void fraction in creases nonlinearly along the axial direction with wall heat flux and it decreases with inlet mass flow rate and sub cooled temperature. The local void fraction exhibited a Ushape distribution in the radial direction. The partition of the wall heat flux along the tube was obtained. The results showed that heat flux consumed on evaporation is the leading part of surface heat transfer at the rear region of subcooled boiling. The turning point in the pressure drop curve reflects the instability of bubbly flow. Good agreement was achieved on the local heat transfer coefficient aalnst experimental measurements, which demonstrated the accuracy of the numerical model.

Analysis of Bubble Behavior in a Horizontal Rectangular Channel under Subcooled Flow Boiling Conditions

Experiments on subcooled flow boiling have been conducted using water in a rectangular flow channel.Similar to the coolant channel in internal combustion engines(IC engines),the flow channel in this experiment was asymmetrically heated.Bubble images were captured using a high speed camera from the side view of the channel.The experimental conditions in terms of bulk temperature,bulk velocity,pressure and heat flux ranged from 65°C–75°C,0.25 m/s–0.75 m/s,1–1.7 bar and 490 kW/m2–700 kW/m2,respectively.On the basis of these tests,a statistical analysis of the bubble size has been conducted considering a population of 1400 samples.It has been found that the mean Sauter bubble diameter increases with the decrease of subcooling,bulk velocity,pressure and increased heat flux.A modified correlation has been finally proposed to predict the mean Sauter bubble diameter under subcooled flow boiling conditions upstream of the onset of significant void,which shows good accuracy with the experimental results.

SAGD生产井合理井下Subcool分析研究

新疆风城油田稠油资源丰富，已探明储量3．6×10^8t，部分特超稠油油藏用常规蒸汽吞吐方法难以有效开采。为此，风城油田于2008年开始开展SAGD先导试验，由于油藏物性及国外存在一定差异，因此，各项配套工艺技术均需要试验研究。根据理论研究和国内外操作经验，Subcool控制是SAGD生产阶段的关键之一，它代表SAGD井下液面控制的合理性。通过数值模拟及现场应用情况分析，初步掌握了适合风城油田不同生产方式的Subcool值。

Subcooled pool boiling heat transfer in fractal nanofluids:A novel analytical model

A novel analytical model to determine the heat flux of subcooled pool boiling in fractal nanofluids is developed. The model considers the fractal character of nanofluids in terms of the fractal dimension of nanoparticles and the fractal dimen- sion of active cavities on the heated surfaces; it also takes into account the effect of the Brownian motion of nanoparticles, which has no empirical constant but has parameters with physical meanings. The proposed model is expressed as a function of the subcooling of fluids and the wall superheat. The fractal analytical model is verified by a reasonable agreement with the experimental data and the results obtained from existing models.

Numerical Simulation on Subcooled Boiling Heat Transfer Characteristics of Water-Cooled W/Cu Divertors

In order to realize safe and stable operation of a water-cooled W/Cu divertor under high heating condition,the exact knowledge of its subcooled boiling heat transfer characteristics under different design parameters is crucial.In this paper,subcooled boiling heat transfer in a water-cooled W/Cu divertor was numerically investigated based on computational fluid dynamic（CFD）.The boiling heat transfer was simulated based on the Euler homogeneous phase model,and local differences of liquid physical properties were considered under one-sided high heating conditions.The calculated wall temperature was in good agreement with experimental results,with the maximum error of 5%only.On this basis,the void fraction distribution,flow field and heat transfer coefficient（HTC）distribution were obtained.The effects of heat flux,inlet velocity and inlet temperature on temperature distribution and pressure drop of a water-cooled W/Cu divertor were also investigated.These results provide a valuable reference for the thermal-hydraulic design of a water-cooled W/Cu divertor.

Assessment of the Application of Subcooled Fluid Boiling to Diesel Engines for Heat Transfer Enhancement

The increasing demand of cooling in internal combustion engines(ICE)due to engine downsizing may require a shift in the heat removal method from the traditional single phase liquid convection to the application of new technologies based on subcooled fluid boiling.Accordingly,in the present study,experiments based on subcooled flow boiling of 50/50 by volume mixture of ethylene glycol and water coolant(EG/W)in a rectangular channel heated by a cast iron block are presented.Different degrees of subcooling,velocity and pressure conditions are examined.Comparison of three empirical reference models shows that noticeable deviations occur especially when low bulk subcooling and velocity conditions are considered.On the basis of the experimental data,a modified power-type wall heat flux model is developed and its ability to represent adequately reality is tested through numerical simulations against a reference rig case and a practical diesel engine.Computational results show that this modified model can effectively be used for practical engine cooling system design.

Determination of the subcooled liquid solubilities of PAHs in partitioning batch experiments

Subcooled liquid solubility is the water solubility for a hypothetical state of liquid. It is an important parameter for multicomponent nonaqueous phase liquids （NAPLs） containing polycyclic aromatic hydrocarbons （PAHs）, which can exist as liquids even though most of the solutes are solid in their pure form at ambient temperature. So far, subcooled liquid solubilities were estimated from the solid water solubility and fugacity ratio of the solid and （subcooled） liquid phase, but rarely derived from experi- mental data. In our study, partitioning batch experiments were performed to determine the subcooled liquid solubility of PAHs in NAPL-water system. For selected PAH, a series of batch experiments were carried out at increased mole fractions of the target component in the NAPL and at a constant NAPL/ water volume ratio. The equilibrium aqueous PAH concentrations were measured with HPLC and/or GC- MS. The suhcooled liquid solubility was derived by extrapolation of the experimental equilibrium aqueous concentration to a mole fraction of unity. With the derived subcooled liquid solubility, the fugacity ratio and enthalpy of fusion of the solute were also estimated. Our results show a good agreement between the experimentally determined and published data.

SUBCOOLED BOILING REGIME RECOGNITION BASED ON FRACTAL CHARACTERISTIC QUANTITIES OF SOUND PRES-SURE

Based on acquisition of sound pressure in subcooled boiling twophase system and through dynamic data processing methods, the dynamical behavior of the system is discussed. With the introduction of fractal concept, an analysis to the fractal feature of sound pressure signal is carried out. Moreover, the pseudo phase diagrams of typical time series of sound pressure are given. Finally, through dynamic clustering and on the basis of calculating correlation dimension and Hurst exponent of sound time series on different subcooling conditions, the recognition of developing regime of the twophase system is delivered, which provides a new practical approach of recognition and diagnosis for vaporliquid boiling system.

Numerical Simulation of Subcooled Boiling Inside High-Heat-Flux Component with Swirl Tube in Neutral Beam Injection System

In order to realize steady-state operation of the neutral beam injection（NBI） system with high beam energy,an accurate thermal analysis and a prediction about working conditions of heat-removal structures inside high-heat-flux（HHF） components in the system are key issues.In this paper,taking the HHF ion dump with swirl tubes in NBI system as an example,an accurate thermal dynamic simulation method based on computational fluid dynamics（CFD） and the finite volume method is presented to predict performance of the HHF component.In this simulation method,the Eulerian multiphase method together with some empirical corrections about the inter-phase transfer model and the wall heat flux partitioning model are considered to describe the subcooled boiling.The reliability of the proposed method is validated by an experimental example with subcooled boiling inside swirl tube.The proposed method provides an important tool for the refined thermal and flow dynamic analysis of HHF components,and can be extended to study the thermal design of other complex HHF engineering structures in a straightforward way.The simulation results also verify that the swirl tube is a promising heat removing structure for the HHF components of the NBI system.

Critical Heat Flux with Subcooled Flowing Water in Tubes for Pressures from Atmosphere to Near-Critical Point

During last 45 years, two groups of the experimental data on critical heat flux were obtained in bare tubes, covering the pressures from atmosphere to near-critical point. One group of the data were obtained in the inner diameter of 2.32, 5.16, 8.05, 10.0 and 16.0 mm, respectively, with the ranges of pressure of 0.1-1.92 MPa, velocity of 1.47-23.3 m/s, local subcooling of 3.7-108.7 ℃ and heat flux of up to 38.3 MW/m2. Another group of the data were obtained in the inner diameter of 4.62, 7.98 and 10.89 mm, respectively, with the ranges of pressure of 1.7-20.6 MPa, mass flux of 454-4,055 kg/（m2.s） and inlet subcooling of 53-361 ℃. The results showed complicated effects of the pressure, mass flux, subcooling and diameter on the critical heat flux. They were formulated by two empirical correlations. A mechanistic model on the limit of heat transfer capability from the bubbly layer to the subcooled core was also proposed for all the results.

Modeling of Subcooled Boiling Heat Transfer to Cool Electronic Components in a Micro-Channel

This paper aims to model a subcooled flow boiling in a vertical stainless-steel micro-channel with an upward flow in 1 mm diameter, 40 mm length and 0.325 mm thickness tube. Water has been considered as a working fluid. The heat flux varies from 600 - 750 kW·m-2, input velocity from 1 - 2 m·s-1, and the subcooled temperature varies from 59.6 - 79.6 K. The working pressure and saturation temperature are 1 atm and 372.75 K, respectively. The results show that, the flow boiling keeps the temperature of the channel wall lower and more uniform than a single-phase flow, as long as the flow boiling does not reach the dry-out point. The onset point of dry-out depends on three factors, heat flux, inlet velocity, and subcooled temperature. In addition, the dry-out occurs at a point near the channel inlet with increased heat flux and subcooled temperature. Decreasing the inlet velocity would also cause the dry-out point to shift closer to the inlet of the channel.

Study on dryout point and heat transfer in subcooled flow boiling through vertical narrow annular channels

The purpose of this study is to conduct the dryout point and heat transfer correlation for subcooled boiling flow in narrow annuli. First, the dryout point of subcooled flow boiling of water was measured in narrow annular channels under the working condition of pressure ranging from 0.1 to 0.3 MPa and low mass flow rate from 6 to 60 kgm^-2 s^-1. Experimental test channels were annular and heated bilaterally with the channel gap of lmm and 1.5mm, and heated length of 1500mm.The location of the dryout was observed and measured by experiment with investigating the various system parameter effects on dryout point, and the results show that the location of dryout point is basically stable and repeating and the heat transfer coefficient increased with heat flux, mass flux and pressure, however, decreases with the gap size. Next, new correlations of CHF and critical vapor quality for narrow annular channels was proposed and calculation results shown a good agreement with the experimental data.

Application of fractal characteristic quantities of pressure fluctuation in subcooled boiling regime recognition

The dynamical behavior of the subcooled boiling two-phase system was introduced and discussed. With the introduction of fractal concept, an analysis of the fractal feature of pressure wave signals from nonlinear dynamics point of view, was carried out. Meanwhile, the pseudo phase diagrams of typical time series of sound pressure were given. Finally, through dynamic clustering and on the basis of calculating correlation dimension and Hurst exponent of pressure wave time series on different subcooling conditions, the recognition of developing regime of the two-phase system was delivered, which might provide a promising approach of recognition and diagnosis of a boiling system.

基于夹点的带喷射器CO_(2)热泵系统性能分析

为了研究带喷射器的跨临界CO_(2)内部过冷热泵系统(TCISE),基于夹点建立了TCISE的热力学模型,分析了冷却水进出水温度及流量对系统性能的影响。研究表明:冷却水进水温度从25℃降低到15℃时,最优高压压力从9.3 MPa降至8.8 MPa,降低了5.4%,最大COP从3.83提升至4.27,提高了11.49%;TCISE存在临界冷却水出水温度和临界冷却水质量流量,当冷却水进水温度一定时,在出水温度低于临界出水温度或质量流量高于临界质量流量时,系统COP保持不变。

Stability of the Liquid-Vapor Interface under the Combined Influence of Normal Vibrations and an Electric Field

The regime of horizontal subcooled film boiling is characterized by the formation of a thin layer of vapor coveringthe surface of a flat horizontal heater. Based on the equations of motion of a viscous incompressible fluid and theequation of heat transfer, the stability of such a vapor film is investigated. The influence of the modulation of thegravity field caused by vertical vibrations of the heater of finite frequency, as well as a constant electric fieldapplied normal to the surface of the heater, is taken into account. It is shown that in the case of a thick vaporfilm, the phase transition has a little effect on the thresholds for the occurrence of parametric instability in thesystem and its transformation into the most dangerous one. At the same time, the electric field contributes toan increase in these thresholds. It was found that the effect of vibrations on the stabilization of non-parametricinstability in the system is possible only in a narrow region of the parameter space where long-wave damped disturbances exist and consists of reducing the critical heat flux of stabilization. A vapor film stabilized in this waycan be destroyed due to the development of parametric instability. In contrast to the case of a thick vapor layer,the threshold for the onset of parametric instability for thin films largely depends on the value of subcooling in thesystem. In addition, this threshold decreases with increasing electric field strength. For a vapor film ten micronsthick, the instability threshold can be reduced by a factor of three or more by applying an electric field of aboutthree million volts per meter.

CO_(2)跨临界制冷系统新型分布式压缩循环研究

为了对CO_(2)跨临界蒸气压缩循环进行高效冷却并提升系统性能,提出分布式压缩循环系统(distributed compression cycle system,DCCS)。在DCCS中,气冷器出口的超临界CO_(2)不再被进一步过冷而是进行二次增压,并在常规热汇条件下进行放热冷却。通过热力学计算DCCS在不同工况下的性能随二次增压比变化情况。结果表明:相对于基础系统,DCCS可有效提升系统性能,在气冷器出口温度不变时,最大制冷COP增幅在8.2%~10.76%之间,制冷量的增幅最高可达约26%。在蒸发温度不变时,最大制冷COP增幅在8.57%~13.51%之间。DCCS中理想的二次增压比要求并不高,且对于二次增压所增加的系统功耗相对于基础系统不会超过20%。相对于目前仅采取单一过冷技术的系统,DCCS在系统性能系数上仍具有优势。DCCS的提出为跨临界CO_(2)蒸气压缩循环系统的性能提升与完善提供了全新的方向。

汽泡边界层模型在矩形管道下的适用性分析

过冷流动沸腾中的流动和传热特性对反应堆的安全运行和经济性都具有重要意义。汽泡边界层模型是预测流动沸腾的一种新理论模型,它将流场沿径向划分为主流和汽泡边界层两个区域,能同时获得两个区域多个两相参数的变化规律,为空泡份额的预测提供了一种新的方法。然而,过冷沸腾段汽泡边界层模型目前仅在常规圆管中开展了验证,当管道类型和尺寸发生变化后,模型的准确度还有待进一步分析。基于此,本文将汽泡边界层模型进一步推广到长宽比较大的矩形管道中。为验证模型的准确性,将模型获得的空泡份额与现有实验数据进行对比,并同时与现有空泡份额预测模型进行了对比。结果显示,汽泡边界层模型不仅较现有模型的准确度更高,还能同时应用于矩形常规管道和窄缝通道,受管道结构和尺寸的影响较小。模型还描述了矩形窄缝通道内空泡份额、压力、流速、温度、滑速比等的变化情况,这些结果能为反应堆矩形燃料元件内的热工物理耦合分析提供基础数据。

液氧深度过冷大流量加注关键技术研究

为了提高火箭运载系数和工作稳定性,有必要对液氧(LO_(2))深度过冷大流量加注进行研究。重点分析了国内外液氧深度过冷大流量加注的工程应用方案及关键设计参数,总结给出了液氧深度过冷大流量加注技术难点,提出了泵抽真空过冷与高压氮气引射抽真空过冷两种液氧深度过冷大流量加注设计方案。通过对液氧深度过冷大流量加注关键技术研究,为我国深度过冷液氧在低温火箭上大规模应用与地面加注系统的能力提升提供了技术参考。

基于引射器与集成机械过冷的CO_(2)热泵系统性能分析

为减少温室气体的排放并提升供暖系统性能,提出了基于引射器与集成机械过冷的跨临界CO_(2)热泵供暖系统(EJ-IMS),并构建热力学模型,以系统COP为目标函数,对过冷度和排气压力进行优化,并对系统在不同气候区典型城市使用的冬季供暖性能进行评估。结果表明:EJ-IMS系统存在最大COP、最优过冷度和排气压力。EJ-IMS系统的最优过冷度比集成机械过冷系统(IMS)低26.44%~39.21%,最优排气压力比基本系统(BASE)和带引射器系统(EJ)低0.27%~9.37%。相比3种常规系统,EJ-IMS系统的COP和[火用]效率分别提高6.09%~37.74%和6.75%~46.02%。EJ-IMS系统的供暖性能系数(HSPF)相对3种系统提高6.89%~29.61%,其更适用于严寒地区。可为高效CO_(2)供暖系统的构建提供理论参考。