基于有限元分析的高温气冷堆石墨颗粒碰壁过程研究
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摘要
石墨颗粒碰壁过程的研究对定量计算高温气冷堆颗粒沉积率十分重要。本文基于有限元方法,利用ABAQUS软件对球形颗粒碰壁进行数值计算。仅考虑弹性变形时,计算结果与Hertz模型高度吻合.当考虑塑性变形导致的能量耗散时,计算得到的速度恢复系数变化趋势与实验数据吻合一致,但整体数值偏低,引入等效屈服强度概念后吻合较好.结果表明有限元方法数值计算颗粒碰壁准确可行,可为研究高温气冷堆石墨颗粒碰壁数值计算提供新的思路和方法。
The study of graphite particle-wall impaction is significantly important to estimate the deposition rate of the particle in high temperature gas-cooled reactor(HTGR). In this paper, the spherical particle-wall impaction is investigated with the help of ABAQUS based on finite element method(FEM). Only considering the perfectly elastic deformation, the simulation result agrees well with Hertz model. When taking the energy dissipation due to plastic deformation into accounted, the trends of restitution coefficients are consistent with experimental data but the values are underestimated. When the effective yielding strength is employed, the result is well predicted with experiments.The simulation results show the numerical method based on FEM is not only valid but also accurate,which provides a possible idea and method for non-spherical graphite particle-wall impaction in HTGR.
The study of graphite particle-wall impaction is significantly important to estimate the deposition rate of the particle in high temperature gas-cooled reactor(HTGR). In this paper, the spherical particle-wall impaction is investigated with the help of ABAQUS based on finite element method(FEM). Only considering the perfectly elastic deformation, the simulation result agrees well with Hertz model. When taking the energy dissipation due to plastic deformation into accounted, the trends of restitution coefficients are consistent with experimental data but the values are underestimated. When the effective yielding strength is employed, the result is well predicted with experiments.The simulation results show the numerical method based on FEM is not only valid but also accurate,which provides a possible idea and method for non-spherical graphite particle-wall impaction in HTGR.
引文
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[2]Moormann R.Fission Product Transport and Source Terms in HTRs:Experience from AVR Pebble Bed Reactor[J].Science and Technology of Nuclear Installations,2008,2008(9):2073-2082
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[4]Guha A.Transport and Deposition of Particles in Turbulent and Laminar Flow[J].Annual Review of Fluid Mechanics,2008,40(1):311-341
[5]Jayaraju S T,Roelofs F,Komen E M J,et al.RANS Modeling of Fluid Flow and Dust Deposition in Nuclear Pebble-beds[J].Nuclear Engineering and Design,2016,308:222-237
[6]Bouris D,Papadakis G,Bergeles G.Numerical Evaluation of Alternate Tube Configurations for Particle DepositionRate Reduction in Heat Exchanger Tube Bundles[J].International Journal of Heat and Fluid Flow,2001,22(5):525-536
[7]雒晓卫.lOMW高温气冷堆中石墨粉尘行为研究[D].北京:清华大学,2005Luo X W.Research on Graphite Dust Behavior in 10 MW High Temperature Gas-cooled Reactor[D].Beijing:Tsinghua University,2005
[8]Li W Y,Zhang C,Li C J,et al.Modeling Aspects of High Velocity Impact of Particles in Cold Spraying by Explicit Finite Element Analysis[J].Journal of Thermal Spray Technology,2009,18(5):921-933
[9]Wang F.Deposition Characteristic of Al Particles on Mg Alloy Micro-channel Substrate by Cold Spray[J].International Journal of Advanced Manufacturing Technology,2017,91(4):791-802
[10]杜妍辰,王树林.两颗粒弹塑性正碰撞的耗散模型[J].机械工程学报,2009,45(2):149-156Du Y C,Wang S L.Elastoplastic Normal Impact Dissipation Model of Two Particles[J].Journal of Mechanical Engineering,2009,45(2):149-156
[11]Machado M,Moreira P,Flores P,et al.Compliant Contact Force Models in Multibody Dynamics:Evolution of the Hertz Contact Theory[J].Mechanism and Machine Theory,2012,53(7):99-121
[12]Marshall J S,Li S Q.Adhesive Particle Flow:a Discreteelement Approach[M].Cambridge University Press,2014
[13]Kuwabara G,Kono K.Restitution Coefficient in a Collision Between Two Spheres[J].Japanese Journal of Applied Physics,1987,26(8):1230-1233
[14]Thornton C,Ning Z.A Theoretical Model for the Stick/bounce Behaviour of Adhesive,Elastic-plastic Spheres[J].Powder Technology,1998,99(2):154-162
[15]魏明哲,张易阳,吴莘馨,等.颗粒-壁面相互作用对石墨粉尘在高温气冷堆蒸汽发生器换热管表面沉积过程的影响[J].原子能科学技术,2016,50(8):1369-1374Wei M Z,Zhang Y Y,Wu X X,et al.Effect of Particlewall Interaction on Graphite Dust Deposition on HTGR Steam Generator Tube[J].Atomic Energy Science and Technology,2016,50(8):1369-1374