非等温相分离的热传导、黏性和Prandtl数效应:格子Boltzmann模拟与理论分析
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- 英文论文题名：Effects of heat conduction,viscosity and Prandtl number on thermal phase separation:lattice Boltzmann study and theoretical analysis
- 论文作者：甘延标 ; 许爱国 ; 张广财 ; 蔚喜军 ; FDS ear
- 英文论文作者：GAN Yan-biao ; XU Ai-guo ; ZHANG Guang-cai ; YU Xi-jun ; FDS ear ; North China Institute of Aerospace Engineering ; National Key Laboratory of Computational Physics ; Institute of Applied Physics and Computational Mathematics ; Center for Applied Physics and Technology and MOE Key Center for High Energy Density Physics Simulations ; College of Engineering ; Peking University ; State Key Laboratory of Theoretical Physics ; Institute of Theoretical Physics ; Chinese Academy of Sciences
- 年：2015
- 作者机构：北华航天工业学院;北京应用物理与计算数学研究所国家级计算物理重点实验室;北京大学应用物理与技术研究中心和高能量密度物理数值模拟教育部重点实验室;理论物理国家重点实验室(中国科学院理论物理研究所);
- 论文关键词：多相流 ; 格子Boltzmann ; 热传导 ; 黏性 ; Prandtl数
- 英文论文关键词：multiphase flows ; lattice Boltzmann ; heat conduction ; viscosity ; Prandtl number
- 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7册（计算物理分卷、核物理分卷、粒子加速器分卷、核聚变与等离子体物理分卷、脉冲功率技术及其应用分卷、辐射物理分卷）
- 语种：中文
- 分类号：O359
- 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：7
- 文件大小：567k
- 原文格式：O
- 会议级别：全国
摘要
利用线性理论分析研究了非等温气液相分离的热传导、黏性和Prandtl数效应。发现热传导加速相分离过程,黏性抑制相分离速度。亚稳态相分离持续的时间t_(SD)与热传导系数κ_τ、黏性系数η满足如下关系t_(SD)=a+b/κ_τ,t_(SD)=c+dη+(eη)~3,其中a-e均为拟合参数。对于固定的Prandtl数Pr,当系统黏性η小于临界值η_c时,t_(SD)与η呈现逆对数关系。当η>η_c时,对于Pr<1的情形,t_(SD)随η减小而减小;当Pr>1时,t_(SD)随η的增加而增加。上述结果同格子Boltzmann模拟结果符合得很好。
We investigate the effects of heat conduction,viscosity,and Prandtl number on thermal liquid-vapor separation via a linear theoretical analysis.It is found that,the heat conductivity κ_t quickens the speed of phase separation,but the viscosity η refrain it.The relations between the duration t_(SD) of the spinodal decomposition(SD) stage and κ_T,η can be fitted by t_(SD)=a+b/κ_t,t_(SD)=c+dη+(eη)~3,respectively,wherea-eare fitting parameters.For fixed Prandtl numberPr,when η is less than a critical valueη_c,t_(SD) shows an inverse power-law relationship with η.However,whenη>η_c,t_(SD) for Pr>1 shows qualitatively different behavior.These results are in accordance with the lattice Boltzmann simulation simulations.
We investigate the effects of heat conduction,viscosity,and Prandtl number on thermal liquid-vapor separation via a linear theoretical analysis.It is found that,the heat conductivity κ_t quickens the speed of phase separation,but the viscosity η refrain it.The relations between the duration t_(SD) of the spinodal decomposition(SD) stage and κ_T,η can be fitted by t_(SD)=a+b/κ_t,t_(SD)=c+dη+(eη)~3,respectively,wherea-eare fitting parameters.For fixed Prandtl numberPr,when η is less than a critical valueη_c,t_(SD) shows an inverse power-law relationship with η.However,whenη>η_c,t_(SD) for Pr>1 shows qualitatively different behavior.These results are in accordance with the lattice Boltzmann simulation simulations.
引文
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[4]Xu A,Zhang G,Gan Y,Chen F,Yu X.Lattice Boltzmann modeling and simulation of compressible flows[J].Frontiers of Physics,2012,7(5),582-600.
[5]Yan B,Xu A,Zhang G,Ying Y,and Li H.Lattice Boltzmann model for combustion and detonation[J].Frontiers of Physics,2013,8(1),94-110.
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[14]Gan Y,Xu A,Zhang G,and Li Y.FFT-LB Modeling of Thermal Liquid-Vapor System.Commun.Theor.Phys.,2012,57(4):681-694.
[15]Gan Y,Xu A,Zhang G,and Li Y.Physical modeling of multiphase flow via lattice Boltzmann method:Numerical effects,equation of state and boundary conditions.Front.Phys.,2012,7(4):481-490.
[16]Minkowski H.Volumen und Oberflache.Math.Ann.,1903,57(4):447-495.
[17]Xu A,Zhang G,Pan X F,Zhang P,and Zhu J.Morphological characterization of shocked porous material.J.Phys.D:Appl.Phys.,2009,42(7):075409/1-10.
[18]Gan Y,Xu A,Zhang G,Li Y,and Li H.Phase separation in thermal systems:A lattice Boltzmann study and morphological characterization.Phys.Rev.E,2011,84(4):046715/1-15.
[19]Gan Y,Xu A,Zhang G,Zhang P,and Li Y.Phase separation in thermal systems:A lattice Boltzmann study and morphological characterization.Europhys.Lett.,2012,97(4):44002/1-6.
[20]Onuki A.Dynamic van der Waals Theory of Two-Phase Fluids in Heat Flow.Phys.Rev.Lett.,2005,94(5):054501/1-4.
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[2]Succi S.The Lattice Boltzmann Equation for Fluid Dynamics and Beyond[M].Oxford University Press,New York,(2001).
[3]许爱国,张广财,李英骏,李华.非平衡与多相复杂系统模拟研究:Lattice Boltzmann动理学理论与应用[J].物理学进展,2014,34(3):136-167.
[4]Xu A,Zhang G,Gan Y,Chen F,Yu X.Lattice Boltzmann modeling and simulation of compressible flows[J].Frontiers of Physics,2012,7(5),582-600.
[5]Yan B,Xu A,Zhang G,Ying Y,and Li H.Lattice Boltzmann model for combustion and detonation[J].Frontiers of Physics,2013,8(1),94-110.
[6]Gan Y,Xu A,Zhang G,and Yang Y.Lattice BGK kinetic model for high-speed compressible flows:Hydrodynamic and nonequilibrium behaviors[J].EPL,2013,103(2),24003.
[7]Lin C,Xu A,Zhang G,Li Y and Succi S.Polar-coordinate lattice Boltzmann modeling of compressible flows[J].Physical Review E,2014,89(1),013307/1-24.
[8]Lin C,Xu A,Zhang G,Li Y.Polar Coordinate Lattice Boltzmann Kinetic Modeling of Detonation Phenomena[J].Communications in Theoretical Physics,2014,62(5):737-748.
[9]Gunstensen A K,Rothman D H,Zaleski S,et al.Lattice Boltzmann model of immiscible fluids.Phys.Rev.A,1991,43(8):4320-4327.
[10]Shan X W and Chen H D.Lattice Boltzmann model for simulating flows with multiple phases and components.Phys.Rev.E,1993,47(3):1815-1819.
[11]Swift M R,Osborn W R,Yeomans J M.Lattice Boltzmann Simulation of Nonideal Fluids.Phys.Rev.Lett.,1995,75(5):830-833.
[12]Watari M and Tsutahara M.Two-dimensional thermal model of the finite-difference lattice Boltzmann method with high spatial isotropy.Phys.Rev.E,2003,67(3):036306/1-7.
[13]Gonnella G,Lamura A,and Sofonea V.Lattice Boltzmann simulation of thermal nonideal fluids.Phys.Rev.E,2007,76(3):036703/1-5.
[14]Gan Y,Xu A,Zhang G,and Li Y.FFT-LB Modeling of Thermal Liquid-Vapor System.Commun.Theor.Phys.,2012,57(4):681-694.
[15]Gan Y,Xu A,Zhang G,and Li Y.Physical modeling of multiphase flow via lattice Boltzmann method:Numerical effects,equation of state and boundary conditions.Front.Phys.,2012,7(4):481-490.
[16]Minkowski H.Volumen und Oberflache.Math.Ann.,1903,57(4):447-495.
[17]Xu A,Zhang G,Pan X F,Zhang P,and Zhu J.Morphological characterization of shocked porous material.J.Phys.D:Appl.Phys.,2009,42(7):075409/1-10.
[18]Gan Y,Xu A,Zhang G,Li Y,and Li H.Phase separation in thermal systems:A lattice Boltzmann study and morphological characterization.Phys.Rev.E,2011,84(4):046715/1-15.
[19]Gan Y,Xu A,Zhang G,Zhang P,and Li Y.Phase separation in thermal systems:A lattice Boltzmann study and morphological characterization.Europhys.Lett.,2012,97(4):44002/1-6.
[20]Onuki A.Dynamic van der Waals Theory of Two-Phase Fluids in Heat Flow.Phys.Rev.Lett.,2005,94(5):054501/1-4.
[21]Binder K.Kinetics of Phase Transitions[M],edited by Puri S and Wadhawan V.CRC Press,London,(2009).
[22]Binder K and Fratzl P.Phase Transformations in Material,edited by Kostorz G,WILEY-VCH Verlag GmbH,Weinheim,(2001).
[23]Okada M and Han C.Experimental study of thermal fluctuation in spinodal decomposition of a binary polymer mixture.J.Chem.Phys.,1986,85(9):5317-5327.