CFX中湍流模型用于分析超临界水传热的适用性评价

通过两组典型实验数据,对商业软件CFX的12种湍流模型用于模拟超临界水竖直向上流动传热的性能进行评价。研究结果表明：强迫对流时,BSL代数应力模型与实验结果符合最好,但各模型间差异均不大;混合对流时,基于壁面函数的ε类型湍流模型不能模拟传热恶化趋势,自动壁面处理的ω类型湍流模型能模拟出传热恶化的趋势,但各模型预测结果和实验结果相差较大。评价结果表明近壁面的处理方式对模拟结果影响很大。此外,基于湍流普朗特数模拟湍流热流密度及未考虑密度脉动对传热的影响均是导致不能正确模拟超临界水传热行为的因素,建议对湍流模型进行改进。     

10 mm垂直单管通道内超临界水传热弱化现象的实验与数值分析

超临界压力下的流体因拟临界点附近物性的剧烈变化,形成了非常奇特的传热现象。因流体密度突变,在低流量下会引起强烈的浮升力作用,对超临界流体的流动和传热均有极大影响。本工作通过实验获得10 mm单管内传热弱化现象的实验数据,并采用改进的低雷诺数湍流模型,使用数值方法模拟该传热弱化现象。计算结果表明,不同于以往传统的模型会高估壁面温度,改进的低雷诺数湍流模型能较好预测实验结果。数值模拟结果还揭示了浮升力对湍流剪切应力和速度分布的影响,进而引起传热弱化和传热恢复。     

Numerical simulation of heat transfer deterioration phenomenon in supercritical water through vertical tube

In this study, a numerical investigation of heat transfer deterioration (HTD) in supercritical water flowing through vertical tube is performed by using six low-Reynolds number turbulence models. All low-Reynolds models can be extended to reproduce the effect of buoyancy force on heat transfer and show the occurrence of localized HTD. However, most k–ε models seriously over-predict the deterioration and do not reproduce the subsequent recovery of heat transfer. The V2F and SST models perform better than other models in predicting the onset of deterioration due to strong buoyancy force. The SST model is able to quantitatively reproduce the two heat transfer deterioration phenomena with low mass flux which have been found in the present study.     

Numerical analysis of heat transfer in supercritical water cooled flow channels

Research activities are ongoing worldwide to develop nuclear power plants with a supercritical water cooled reactor (SCWR) with the purpose to achieve a high thermal efficiency and to improve their economical competitiveness. However, there is still a big deficiency in understanding and prediction of heat transfer in supercritical fluids. In this paper, heat transfer of supercritical water has been investigated in various flow channels using the computational fluid dynamics (CFD) code CFX-5.6 to provide basic knowledge of the heat transfer behaviour and to gather the first experience in the application of CFD codes to heat transfer in supercritical fluids. Three different flow channels are selected, i.e. circular tubes, the sub-channel of a square-array rod bundle and the sub-channel of a triangular-array rod bundle. The effect of mesh structures, turbulence models, as well as flow channel configurations is analysed. Based on the present results, recommendations are made on the application of turbulence models to the heat transfer of supercritical fluids in various flow channels. A new definition for the onset of heat transfer deterioration is proposed. A strong non-uniformity of heat transfer is observed in sub-channel geometries. This non-uniformity has to be taken into account in the design of fuel assemblies of SCWR.     

超临界CO2在螺旋管中的流动换热特性研究

超临界蒸发器应用到核电中,可大幅提高机组的热效率。超临界压力流体的热物性在准临界温度附近变化非常剧烈,会对其流动和换热产生很大的影响。研究超临界压力流体在螺旋管内的流动和换热规律,有利于对超临界螺旋管蒸发器的设计。本文采用RNG k-ε和SST k-ω模型对超临界CO₂在螺旋管中的流动换热情况进行了数值模拟,发现SST k-ω模型模拟结果与实验结果符合得更好。基于此模型,分析了不同进口质量流速及不同热流密度对管壁温和换热系数的影响,发现随着质量流速的减小、热流密度的增加,峰值向远离h_pc的一侧偏移。最后讨论并分析了周向壁温和换热系数的分布情况,发现壁温在φ＝315°处最高,需在实验操作或实际运行中加以监控,以保障螺旋管蒸发器的安全运行。     

2×2稠密棒束内超临界水的传热特性试验研究

在压力p=23～28 MPa、质量流速G=350～1 000 kg/(m²•s)、热流密度q=200～1000 kW/m²的试验参数范围内,对2×2棒束内超临界水的传热特性进行了试验研究。试验得到了加热管周向壁温分布规律,并就出现周向温度差异的原因进行了分析。此外,给出了压力、质量流速及热流密度等系统参数对平均传热特性的影响,分析了低质量流速下出现的传热恶化现象。试验结果表明：加热管周向壁温并不均匀,边角子通道壁温最高,中心子通道壁温最低,周向壁温的高低与横截面流通面积的不均匀性紧密相关。随着热流密度的提高或质量流速的降低,超临界水的传热受到抑制,当q/G增大到一定程度时,棒束内发生传热恶化。     

An investigation on heat transfer characteristics of different pressure steam-water in vertical upward tube

Within the range of pressure from 9 to 30 MPa, mass velocity from 600 to 1200 kg/(m² s), and heat flux at inner wall from 200 to 600 kW/m², experiments have been performed to investigate the heat transfer characteristics of steam-water two-phase flow in vertical upward tube. The outer diameter of the tube is 32 mm, and the wall thickness is 3 mm. Based on results, it was found that Dryout is the main mechanism of the heat transfer deterioration in the sub-critical pressure region. Near the critical pressure, when the heat transfer deterioration occurs, the steam quality of water is lower than that in the sub-critical pressure region, so that DNB is the main mechanism in this pressure region. At supercritical pressure, the heat transfer performance in circular channel is improved and enhanced. Heat transfer deterioration phenomenon is observed when the fluid bulk temperature approaches to the pseudo-critical value. Nusselt correlation of the forced-convection heat transfer in supercritical pressure region has been provided, which can be used to predict heat transfer coefficient of the vertical upward flow in tube.     

竖直圆管内超临界压力氟利昂传热试验研究

深入研究超临界压力下流体特殊的对流传热特性,对超临界水冷反应堆的堆芯设计至关重要。在上海交通大学SMOTH氟利昂回路上开展了压力4.3~4.7 MPa、质量流速600~2 500kg/(m2·s)、热流密度20~180kW/m2参数下的圆管内超临界上升流传热试验。远离拟临界温度区间内换热系数和Dittus-Boelter公式计算值很接近,热流密度越大,近拟临界区换热系数越小,小质量流速大热流密度下,发生显著传热恶化。加速效应无量纲数和浮升力无量纲数对传热特性显示了强烈的相关性。提出了氟利昂工质传热试验的传热恶化起始点关系式。Bishop关系式计算换热系数和试验值之间标准差很小,但整体略偏大;Jackson关系式计算值和试验值之间平均偏差很小,但标准差偏大。     

Investigation of forced convection heat transfer of supercritical pressure water in a vertically upward internally ribbed tube

In the present paper, the forced convection heat transfer characteristics of water in a vertically upward internally ribbed tube at supercritical pressures were investigated experimentally. The six-head internally ribbed tube is made of SA-213T12 steel with an outer diameter of 31.8 mm and a wall thickness of 6 mm and the mean inside diameter of the tube is measured to be 17.6 mm. The experimental parameters were as follows. The pressure at the inlet of the test section varied from 25.0 to 29.0 MPa, and the mass flux was from 800 to 1200 kg/(m² s), and the inside wall heat flux ranged from 260 to 660 kW/m². According to experimental data, the effects of heat flux and pressure on heat transfer of supercritical pressure water in the vertically upward internally ribbed tube were analyzed, and the characteristics and mechanisms of heat transfer enhancement, and also that of heat transfer deterioration, were also discussed in the so-called large specific heat region. The drastic changes in thermophysical properties near the pseudocritical points, especially the sudden rise in the specific heat of water at supercritical pressures, may result in the occurrence of the heat transfer enhancement, while the covering of the heat transfer surface by fluids lighter and hotter than the bulk fluid makes the heat transfer deteriorated eventually and explains how this lighter fluid layer forms. It was found that the heat transfer characteristics of water at supercritical pressures were greatly different from the single-phase convection heat transfer at subcritical pressures. There are three heat transfer modes of water at supercritical pressures: (1) normal heat transfer, (2) deteriorated heat transfer with low HTC but high wall temperatures in comparison to the normal heat transfer, and (3) enhanced heat transfer with high HTC and low wall temperatures in comparison to the normal heat transfer. It was also found that the heat transfer deterioration at supercritical pressures was similar to the DNB at subcritical pressures.     

超临界压力下水在方形环腔内垂直上升的传热特性

在西安交通大学超临界传热试验台上研究了超临界压力下水在方形环腔中垂直上升的传热特性.试验压力23～25 MPa;质量流速500～1 200kg/(m~2·s);热流密度200～800 kW/m~2;工质进口温度300～400℃.试验结果表明:带绕丝固定的方形环腔结构在高质量流速低热负荷的情况下,在拟临界区域传热会得到强化,而在低质量流速高热负荷的情况下,会发生传热恶化现象;较低的超临界压力下会有更加突出的传热强化表现,但是传热恶化会提前发生,并且更加剧烈,因此较高的超临界压力意味着安全性更高.     

圆管内超临界水传热恶化数值模拟及模型评价

采用计算流体力学(CFD)方法对圆管通道内超临界水的传热恶化特性进行数值模拟研究,将现有模型对超临界条件计算的适用性和可靠性进行了评估。计算结果表明,在低质量流速条件下,传热恶化发生时流道内将会出现M型的速度分布,最大速度处的湍动能明显减小;在高质量流速条件下,传热恶化时各物性参数中热导率对其传热特性有明显的影响。模型评估结果表明,本研究中SST模型能够用于高质量流速条件下传热恶化的计算。     

Numerical analysis of thermal-hydraulic behavior of supercritical water in vertical upward/downward flow channels

Investigations on the thermal-hydraulic behavior in the SCWR fuel assembly have obtained a significant attention in the international SCWR community. However, there is still a lack of understanding of the heat transfer behavior of supercritical fluids. In this paper, the numerical analysis is carried out to study the thermal-hydraulic behaviour in vertical sub-channels cooled by supercritical water. Remarkable differences in characteristics of secondary flow are found, especially in square lattice, between the upward flow and downward flow. The turbulence mixing across sub-channel gap for downward flow is much stronger than that for upward flow in wide lattice when the bulk temperature is lower than pseudo-critical point temperature. For downward flow, heat transfer deterioration phenomenon is suppressed with respect to the case of upward flow at the same conditions.     

超临界水冷堆类三角形子通道传热不均匀性研究

基于类三角形堆芯子通道超临界水传热不均匀性试验,建立棒径为8 mm、栅距比为1.2~1.4的超临界水冷堆（SCWR）类三角形堆芯子通道物理模型,研究通道内超临界水传热不均匀性,分析超临界压力区子通道传热轴向与周向不均匀性。试验研究表明类三角形子通道轴向传热强度不均,沿轴向传热强度存在峰值区,大比热区传热强度大,而远离大比热区传热强度低;试验与数值模拟对比表明 (Spezlale, Sarkar and Gatski Model) 湍流模型可准确预测SCWR类三角形子通道超临界水传热特性;子通道周向传热严重不均,在垂直于主流方向横截面,流体和管壁之间的局部传热系数随着周向角的增大先升高后降低,其值在中心主流区处最大,在窄缝区位置最小,并且在不同的主流焓值区内周向传热不均程度不同;栅距比对子通道传热有影响,随着栅距比的增大,在整个主流焓值区内,平均壁温升高,换热系数降低,周向传热不均匀性显著减小。      

Experimental investigation on heat transfer from a heated rod with a helically wrapped wire inside a square vertical channel to water at supercritical pressures

A supercritical water heat transfer test section has been built at Xi’an Jiaotong University to study the heat transfer from a 10 mm rod inside a square vertical channel with a wire-wrapped helically around it as a spacer. The test section is 1.5 m long and the wire pitch 200 mm. Experimental conditions included pressures of 23–25 MPa, mass fluxes of 500–1200 kg/m² s, heat fluxes of 200–800 kW/m², and inlet temperatures of 300–400 °C. Wall temperatures were measured with thermocouples at various positions near the rod surface. The experimental Nusselt numbers were compared with those calculated by empirical correlations for smooth tubes. The Jackson correlation showed better agreement with the test data compared with the Dittus-Boelter correlation but overpredicted the Nusselt numbers almost within the whole range of experimental conditions. Both correlations cannot predict the heat transfer accurately when deterioration occurred at low mass flux and relatively high heat flux in the pseudocritical region. Comparison of experimental data at two different supercritical pressures showed that the heat transfer was more enhanced at the lower supercritical pressure but the deterioration was more likely to occur at the higher pressure, meaning increased safety. Based on a comparison with an identical channel without the helical wrapped wire, it was found that the wire spacer does not enhance the heat transfer significantly under normal heat transfer conditions, but it contributes to the improvement of the heat transfer in the pseudocritical region and to a downstream shift of the onset of the deterioration. The Jackson buoyancy criterion is found to be valid and works well in predicting the onset of heat transfer deterioration occurring in the experiments without wire.     

超临界水冷堆类三角形子通道流动传热特性研究

基于类三角形子通道超临界水的传热试验,建立了超临界水冷堆三角形子通道物理模型。采用雷诺应力湍流模型SSG,在压力为23～28 MPa、质量流速为700～1300 kg/(m²•s)、热流密度为200～1000 kW/m²参数范围内,对棒径8 mm、栅距比为1.4的子通道内超临界水流动与传热特性进行了数值研究。分析了系统参数对流动和传热特性的影响,对比了不同焓区的二次流特性。结果表明：采用SSG模型对超临界水冷堆三角形子通道内流动传热的CFD模拟结果与试验数据较吻合。质量流速越高,传热能力越强;子通道换热系数峰值随压力的提高而减小;热负荷越高,内壁温度越高;在大比热容区换热系数峰值随热流密度的增大而明显减小,传热存在恶化趋势。超临界区子通道内在与主流垂直方向形成了明显的二次流,存在6个对称的漩涡,二次流速最大值出现在子通道窄缝区间隙。通道内不同焓区二次流结构相似,但二次流强度随焓的提高而增大。     

Discussion of heat transfer phenomena in fluids at supercritical pressure with the aid of CFD models

The paper discusses heat transfer enhancement and deterioration phenomena observed in experimental data for fluids at supercritical pressure. The results obtained by the application of various CFD turbulence models in the prediction of experimental data for water and carbon dioxide flowing in circular tubes are firstly described. On this basis, the capabilities of the addressed models in predicting the observed phenomena are shortly discussed.     

Heat transfer to a supercritical pressure fluid flowing in sub-bundle channels

Supercritical pressure water cooled reactor (SCWR) has been regarded as an innovative nuclear reactor. For the design and development of the SCWR, heat transfer performance under supercritical pressure is one of the most important indicators. In this paper, experimental data are presented on the heat transfer to a supercritical pressure fluid flowing vertically upward and downward in a small diameter heated tube and two sub-bundle channels with three heater rods and seven heater rods, using HCFC22 as the test fluid. Downstream of grid spacer for the sub-bundles, heat transfer enhancement was observed in the upward flow, but not in the downward flow. The enhancement was remarkable especially when the heat transfer deterioration occurs in the fully developed region unaffected by the spacer. The heat transfer correlation for the downstream region of the spacer was developed in the normal heat transfer of sub-bundles. In the fully developed region for the sub-bundle, occurrence of the heat transfer deterioration was suppressed or degree of the deterioration was moderated. At high mass velocity for downward flow in the seven rod sub-bundle, oscillation of heat transfer was observed in the region of the enthalpy over the pseudocritical point.     

Numerical investigation of heat transfer in upward flows of supercritical water in circular tubes and tight fuel rod bundles

Heat transfer in upward flows of supercritical water in circular tubes and in tight fuel rod bundles is numerically investigated by using the commercial CFD code STAR-CD 3.24. The objective is to have more understandings about the phenomena happening in supercritical water and for designs of supercritical water cooled reactors. Some turbulence models are selected to carry out numerical simulations and the results are compared with experimental data and other correlations to find suitable models to predict heat transfer in supercritical water. The comparisons are not only in the low bulk temperature region, but also in the high bulk temperature region. The two-layer model (Hassid and Poreh) gives a better prediction to the heat transfer than other models, and the standard k– high Re model with the standard wall function also shows an acceptable predicting capability. Three-dimensional simulations are carried out in sub-channels of tight square lattice and triangular lattice fuel rod bundles at supercritical pressure. Results show that there is a strong non-uniformity of the circumferential distribution of the cladding surface temperature, in the square lattice bundle with a small pitch-to-diameter ratio (P/D). However, it does not occur in the triangular lattice bundle with a small P/D. It is found that this phenomenon is caused by the large non-uniformity of the flow area in the cross-section of sub-channels. Some improved designs are numerically studied and proved to be effective to avoid the large circumferential temperature gradient at the cladding surface.     

带定位格架的类三角形堆芯通道超临界水传热试验研究

针对带定位格架的超临界水冷堆堆芯垂直上升类三角形子通道,开展超临界水的流动传热试验研究。反应堆堆芯类三角形子通道棒束直径为8 mm、栅距比为1.4,试验参数范围为:热流密度q=200~600 kW/m2、压力P=23~28 MPa、质量流速G=700~1300 kg/(m2·s)。分析了热流密度、压力和质量流速等热工参数对超临界水传热特性的影响。试验结果表明:定位格架处质量流速升高,流体扰动性增强,换热系数提升显著;在超临界压力下,提高压力会导致内壁温度上升,换热系数峰值降低;过高的热流密度会导致换热系数峰值降低,适当减小热流密度可提高换热性能;提高质量流速会导致内壁温度降低,换热系数峰值上升,能够显著提高换热性能。压力变化对定位格架区域传热特性影响较小,适当提升压力可提高系统安全性。      

当量直径对超临界水流动传热特性的影响

以CFD商业软件FLUENT为计算平台,对圆管和圆环通道内超临界水流动传热特性进行数值模拟。通过对几种湍流模型的对比,选取在超临界条件下适用性相对较好的SST模型进行计算,分别比较不同热力当量直径和不同水力当量直径下圆管与圆环通道加热面壁温、边界层温度及速度的分布,研究热力当量直径和水力当量直径对超临界水流动传热特性的影响。结果表明,正常传热工况下,水力当量直径对超临界水流动传热特性有很大影响,而热力当量直径几乎无影响。圆环通道内流动传热关系式可基于圆管进行拟合,超临界水流动传热特性的其他影响因素还需进一步研究。