基于扩散界面法的液态铅铋合金中气泡上升行为模拟
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摘要
基于扩散界面法,对单个氮气气泡在液态铅铋合金内从静止到充分发展整个过程中的动力学行为进行数值模拟,得到气泡形变特性和气泡上升速度随时间的变化关系,将模拟结果与Grace经验关系图对比,发现模拟得到的气泡形变结果在Grace经验关系图中均可找到且很好地吻合,从而验证了扩散界面法在模拟液态铅铋合金中气泡上升行为的可行性和准确性。同时基于界面扩散法的模拟,对比了5种不同初始直径的氮气泡在液态铅铋合金中的上升行为,发现初始直径较小的气泡在上升过程中扰动会更剧烈,初始直径较大的气泡在上升过程中易发生分裂现象。
The numerical simulation of a single nitrogen bubble in liquid lead-bismuth alloy(LBE)from static to the full development of dynamic behavior based on diffuseinterface method was done to get the relationship of deformation and rising velocity of the bubble by time.Comparing results of simulation of the flow characteristics about inert gas and liquid LBE with Grace's graphical correlation,it is found that deformation of the bubble is consistent with Grace's graphical correlation,which verifies the feasibility and the accuracy of diffuse-interface method on simulation of rising bubble's behavior in liquid LBE.By comparing rising behaviors of five different initial diameters of nitrogen bubble in liquid LBE based on diffuse-interface method,it is found that the smaller bubble initial diameter is,the disturbance will be more intense in the rising process,and the larger the bubble initial diameter is,the splitting phenomenon occursmore easily in the rising process.
The numerical simulation of a single nitrogen bubble in liquid lead-bismuth alloy(LBE)from static to the full development of dynamic behavior based on diffuseinterface method was done to get the relationship of deformation and rising velocity of the bubble by time.Comparing results of simulation of the flow characteristics about inert gas and liquid LBE with Grace's graphical correlation,it is found that deformation of the bubble is consistent with Grace's graphical correlation,which verifies the feasibility and the accuracy of diffuse-interface method on simulation of rising bubble's behavior in liquid LBE.By comparing rising behaviors of five different initial diameters of nitrogen bubble in liquid LBE based on diffuse-interface method,it is found that the smaller bubble initial diameter is,the disturbance will be more intense in the rising process,and the larger the bubble initial diameter is,the splitting phenomenon occursmore easily in the rising process.
引文
[1]CINOTTI L,GHERARDI G.The Pb-Bi cooled XADS status of development[J].Journal of Nuclear Materials,2002,301(1):8-14.
[2]SUZUKI T,CHEN X N,RINEISISKI A,et al.Transient analyses for accelerator driven system PDS-XADS using the extended SIMM ER-Ⅲcode[J].Nuclear Engineering and Design,2001,235(24):2 594-2 611.
[3]陈荣华,田文喜,左娟莉,等.基于MPS方法的液态铅铋合金内气泡上升流数值模拟[J].核动力工程,2011,32(5):96-99.CHEN Ronghua,TIAN Wenxi,ZUO Lijuan,et al.Numerical simulation of bubble rising flow in liquid lead bismuth alloy based on MPS method[J].Nuclear Power Engineering,2011,32(5):96-99(in Chinese).
[4]左娟莉,田文喜,秋穗正,等.液态金属内单个气泡上升行为的MPS法数值模拟[J].原子能科学技术,2011,45(12):1 449-1 455.ZUO Lijuan,TIAN Wenxi,QIU Suizheng,et al.Numerical simulation of a single bubble rising behavior in liquid metal by MPS method[J].Atomic Energy Science and Technology,2011,45(12):1 449-1 455(in Chinese).
[5]赵云淦,牛风雷,单祖华.气泡在液态铅铋合金内上升行为的数值模拟[J].原子能科学技术,2015,49(5):278-282.ZHAO Yungan,NIU Fenglei,SHAN Zuhua.Numerical simulation of bubble rising in liquid lead bismuth alloy[J].Atomic Energy Science and Technology,2015,49(5):278-282(in Chinese).
[6]WANG Jifei,WAN Decheng.Numerical simulation of 3-D water collapse with an obstacle by FEM-leve lset method[J].Journal of Hydrodynamics,2015,27(1):112-119.
[7]王烨,蔡杰进.基于扩散界面法的较大气泡上升过程数值模拟[J].原子能科学技术,2017,51(2):269-274.WANG Ye,CAI Jiejin.Numerical simulation of bubble rising process based on diffuse-interface method[J].Atomic Energy Science and Technology,2017,51(2):269-274(in Chinese).
[8]YUE P,ZHOU C,FENG J J,et al.Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing[J].Journal of Computational Physics,2006,219(1):47-67.
[9]ANDERSON D M,McFADDEN G B,WHEELER A A.Diffuse-interface methods in fluid mechanics[J].Annual Review of Fluid Mechanics,1998,30(1):139-165.
[10]法西奥,詹卢卡,路易斯,等.铅与铅铋合金共晶手册[M].戎利健,张玉妥,陆善平,等译.北京:科学出版社,2007.
[11]FRANCESCO M,LUCA M,CARLO M C.Diffuse interface modeling of a radial vapor bubble collapse[J].Journal of Physics:Conference Series,2015,656(1):012028.
[12]ZUO Juanli,TIAN Wenxi,CHEN Ronghua,et al.Two-dimensional numerical simulation of single bubble rising behavior in liquid metal using moving particle semi-implicit method[J].Progress in Nuclear Energy,2013,64(12):31-40.
[13]ZUO Juanli,TIAN Wenxi,CHEN Ronghua,et al.Research on enhancement of natural circulation capability in lead-bismuth alloy cooled reactor by using gas-lift pump[J].Nuclear Engineering and Design,2013,263(7):1-9.
[14]GRACE J R.Shapes and velocities of bubbles rising in infinite liquids[J].Transaction of the Institute of Chemical Engineering,1973,51:116-120.
[15]GRACE J R.Shapes and velocities of single drops and bubbles moving freely through immiscible liquids[J].Transaction of the Institute of Chemical Engineering,1976,54:167-173.
[2]SUZUKI T,CHEN X N,RINEISISKI A,et al.Transient analyses for accelerator driven system PDS-XADS using the extended SIMM ER-Ⅲcode[J].Nuclear Engineering and Design,2001,235(24):2 594-2 611.
[3]陈荣华,田文喜,左娟莉,等.基于MPS方法的液态铅铋合金内气泡上升流数值模拟[J].核动力工程,2011,32(5):96-99.CHEN Ronghua,TIAN Wenxi,ZUO Lijuan,et al.Numerical simulation of bubble rising flow in liquid lead bismuth alloy based on MPS method[J].Nuclear Power Engineering,2011,32(5):96-99(in Chinese).
[4]左娟莉,田文喜,秋穗正,等.液态金属内单个气泡上升行为的MPS法数值模拟[J].原子能科学技术,2011,45(12):1 449-1 455.ZUO Lijuan,TIAN Wenxi,QIU Suizheng,et al.Numerical simulation of a single bubble rising behavior in liquid metal by MPS method[J].Atomic Energy Science and Technology,2011,45(12):1 449-1 455(in Chinese).
[5]赵云淦,牛风雷,单祖华.气泡在液态铅铋合金内上升行为的数值模拟[J].原子能科学技术,2015,49(5):278-282.ZHAO Yungan,NIU Fenglei,SHAN Zuhua.Numerical simulation of bubble rising in liquid lead bismuth alloy[J].Atomic Energy Science and Technology,2015,49(5):278-282(in Chinese).
[6]WANG Jifei,WAN Decheng.Numerical simulation of 3-D water collapse with an obstacle by FEM-leve lset method[J].Journal of Hydrodynamics,2015,27(1):112-119.
[7]王烨,蔡杰进.基于扩散界面法的较大气泡上升过程数值模拟[J].原子能科学技术,2017,51(2):269-274.WANG Ye,CAI Jiejin.Numerical simulation of bubble rising process based on diffuse-interface method[J].Atomic Energy Science and Technology,2017,51(2):269-274(in Chinese).
[8]YUE P,ZHOU C,FENG J J,et al.Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing[J].Journal of Computational Physics,2006,219(1):47-67.
[9]ANDERSON D M,McFADDEN G B,WHEELER A A.Diffuse-interface methods in fluid mechanics[J].Annual Review of Fluid Mechanics,1998,30(1):139-165.
[10]法西奥,詹卢卡,路易斯,等.铅与铅铋合金共晶手册[M].戎利健,张玉妥,陆善平,等译.北京:科学出版社,2007.
[11]FRANCESCO M,LUCA M,CARLO M C.Diffuse interface modeling of a radial vapor bubble collapse[J].Journal of Physics:Conference Series,2015,656(1):012028.
[12]ZUO Juanli,TIAN Wenxi,CHEN Ronghua,et al.Two-dimensional numerical simulation of single bubble rising behavior in liquid metal using moving particle semi-implicit method[J].Progress in Nuclear Energy,2013,64(12):31-40.
[13]ZUO Juanli,TIAN Wenxi,CHEN Ronghua,et al.Research on enhancement of natural circulation capability in lead-bismuth alloy cooled reactor by using gas-lift pump[J].Nuclear Engineering and Design,2013,263(7):1-9.
[14]GRACE J R.Shapes and velocities of bubbles rising in infinite liquids[J].Transaction of the Institute of Chemical Engineering,1973,51:116-120.
[15]GRACE J R.Shapes and velocities of single drops and bubbles moving freely through immiscible liquids[J].Transaction of the Institute of Chemical Engineering,1976,54:167-173.