球床堆中球流运动的数值模拟初探
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- 英文论文题名：A preliminary study on numerical simulation of pebble flow in pebble-bed nuclear reactor
- 论文作者：汤雨诗 ; 张立国 ; 郭秋菊 ; 曹建主 ; 童节娟
- 英文论文作者：TANG Yu-shi ; ZHANG Li-guo ; GUO Qiu-ju ; CAO Jian-zhu ; TONG Jie-juan ; State Key Laboratory of Nuclear Physics and Technology ; School of Physics ; Peking University ; Institute of Nuclear and New Energy Technology ; Collaborative Innovation Center of Advanced Nuclear Energy Technology ; Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education ; Tsinghua University
- 年：2015
- 作者机构：北京大学物理学院核物理与核技术国家重点实验室;清华大学核能与新能源技术研究院先进核能技术协同创新中心先进反应堆工程与安全教育部重点实验室;
- 论文关键词：球床堆 ; 球流 ; 连续扩散模型 ; 扩散方程 ; 颗粒流
- 英文论文关键词：pebble bed reactor ; pebble flow ; kinematic model ; diffusion equation ; granular flow
- 会议召开时间：2015-09-21
- 会议录名称：中国核科学技术进展报告（第四卷）——中国核学会2015年学术年会论文集第2册（核能动力分卷（上））
- 语种：中文
- 分类号：TL424
- 学会代码：EGVD
- 会议名称：中国核学会2015年学术年会
- 会议地点：中国四川绵阳
- 主办单位：中国核学会
- 学会名称：中国核学会
- 页数：6
- 文件大小：301k
- 原文格式：O
- 会议级别：全国
摘要
球床式高温气冷堆中石墨燃料球在堆芯中的流动形态是堆芯物理设计的基础之一,与反应堆物理、热工及核燃料循环等密切相关,对反应堆的经济和安全性能产生影响。然而由于堆内球流运动的复杂性,及通过实验手段得到信息的有限性,仍需要通过数值模拟方法对球流运动做进一步探索,其中基于慢速颗粒流连续扩散理论的扩散模型是适于球床堆球流运动数值模拟研究的有效方法之一。本文即采用扩散模型对堆芯球流运动速度场进行数值模拟,通过变量代换后的坐标系展开扩散方程及其边界条件,并分别采用二阶精度的隐式中心差分法和前向、后向差分法对扩散方程和边界条件进行离散。按参考文献中的堆芯几何参数建立模型,发现此数值求解方法得到的球流相对速度场能很好的符合参考文献中的实验结果;并按HTR-PM堆芯几何建立模型,研究不同区域呈现的球流流态特征。
The flow profile of graphite fuel pebbles in pebble bed high temperature reactor(PBR)lays the foundation for core physical design and is closely relevant to reactor physics,thermal-hydraulics and fuel cycle,consequently influencing reactor safety and economical efficiency.However for the complexity of dense slow pebble flow and the limited information obtained from experiment,it is necessary to further study pebble flow with the approach of numerical simulation,one of the proper methods is kinematic model which is based on the continuous diffusion theory for dense slow flow.This paper generates numerical pebble flow velocity profile with the kinematic model in transformed Cartesian coordinates.Two treatment scheme,central difference method and second-order accurate forward or backward difference method,are adopted to discretize the diffusion equation and corresponding boundary conditions in reactor geometry.The simulated relative flow velocity profile of core geometry from a referenced paper agrees well with the experimental results in the referenced paper.Besides,numerical simulation of velocity profiles in a real HTR-PM geometry is studied to obtain more information on flow features in different core regions.
The flow profile of graphite fuel pebbles in pebble bed high temperature reactor(PBR)lays the foundation for core physical design and is closely relevant to reactor physics,thermal-hydraulics and fuel cycle,consequently influencing reactor safety and economical efficiency.However for the complexity of dense slow pebble flow and the limited information obtained from experiment,it is necessary to further study pebble flow with the approach of numerical simulation,one of the proper methods is kinematic model which is based on the continuous diffusion theory for dense slow flow.This paper generates numerical pebble flow velocity profile with the kinematic model in transformed Cartesian coordinates.Two treatment scheme,central difference method and second-order accurate forward or backward difference method,are adopted to discretize the diffusion equation and corresponding boundary conditions in reactor geometry.The simulated relative flow velocity profile of core geometry from a referenced paper agrees well with the experimental results in the referenced paper.Besides,numerical simulation of velocity profiles in a real HTR-PM geometry is studied to obtain more information on flow features in different core regions.
引文
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[4]王文俊,等.二维双区球流运动唯象方法的数值模拟[J].原子能科学技术,2013,47(10):1713-1717.
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[6]Choi J,et al.Velocity profile of granular flows inside silos and hoppers.Journal of Physics-Condensed Matter,2005,17:S2533-S2548.
[7]Mullins WW.Stochastic Theory of Particle Flow under Gravity.Journal of Applied Physics,1972,43:665-678.
[8]Nedderman R,et al.A kinematic model for the flow of granular materials.Powder Technology,1979,22:243-253.
[2]钟文发,等.高温堆球流模拟在堆物理中的应用[J].计算物理,1995,12:325-329.
[3]王文俊,等.二维双区球流运动唯象方法的参数分析[J].核动力工程,2013,34(3):101-104.
[4]王文俊,等.二维双区球流运动唯象方法的数值模拟[J].原子能科学技术,2013,47(10):1713-1717.
[5]Rycroft C H,et al.Analysis of granular flow in a pebble-bed nuclear reactor[J].Physical review E,2006,74(2):021306.
[6]Choi J,et al.Velocity profile of granular flows inside silos and hoppers.Journal of Physics-Condensed Matter,2005,17:S2533-S2548.
[7]Mullins WW.Stochastic Theory of Particle Flow under Gravity.Journal of Applied Physics,1972,43:665-678.
[8]Nedderman R,et al.A kinematic model for the flow of granular materials.Powder Technology,1979,22:243-253.