Simulation of mesoscale interfacial properties using the lattice Boltzmann method  

作　　者：ZENG JianBang LI LongJian LIAO Quan HUANG YanPing PAN LiangMing 

机构地区：[1]Key Laboratory of Low-grade Energy Utilization Technologies and Systems (Chongqing University), Ministry of Education, Chongqing 400030, China [2]National Key Laboratory of Bubble Physics and Natural Circulation ofNPIC, Chengdu 610041, China

出　　处：《Chinese Science Bulletin》2010年第29期3267-3273,共7页

基　　金：supported by the, National Natural Science Foundation of China (50406012, 51076172);the National Key Laboratory of Bubble Physics and Natural Circulation of NPIC (9140C710901090C71, 9140C7101020802);the Specialized Research Fund for the Doctoral Program of Higher Education of China (20090191120017)

摘　　要：We derive the mesoscopic interparticle potentials from macroscopic thermodynamics for van der Waals,Redlich-Kwong,and Redlich-Kwong-Soave equations of state and find that all these potentials are very similar to the Lennard-Jones potential.To investigate the interfacial property at the mesoscale level,we incorporate free energy functions into the single-component multiphase lattice Boltzmann model and obtain the saturated density coexistence curves and interface mass density profiles across the interface using this method with different equations of state.The simulation results accurately reproduce the properties of equilib-rium thermodynamics.Numerical results for single-component phase transitions indicate that a bubble-growth process is obtained and the equilibrium phase diagram is achieved at a given temperature.Bulk free energy,the interfacial energy coefficient,and other properties of nonequilibrium thermodynamic parameters,which are used to examine interfacial properties,are obtained in these simulations,and all these parameters are found to obey irreversible thermodynamics.We derive the mesoscopic interparticle potentials from macroscopic thermodynamics for van der Waals, Redlich-Kwong, and Redlich-Kwong-Soave equations of state and find that all these potentials are very similar to the Lennard-Jones potential. To investigate the interracial property at the mesoscale level, we incorporate free energy functions into the single-component multiphase lattice Boltzmann model and obtain the saturated density coexistence curves and interface mass density profiles across the interface using this method with different equations of state. The simulation results accurately reproduce the properties of equilibrium thermodynamics. Numerical results for single-component phase transitions indicate that a bubble-growth process is obtained and the equilibrium phase diagram is achieved at a given temperature. Bulk free energy, the interracial energy coefficient, and other properties of nonequilibrium thermodynamic parameters, which are used to examine interfacial properties, are obtained in these simulations, and all these parameters are found to obey irreversible thermodynamics.

关 键 词：界面性能 格子玻尔兹曼方法 中尺度 格子BOLTZMANN模型 模拟 状态方程法 热力学性质 非平衡热力学 

分 类 号：O35[理学—流体力学] TB332[理学—力学]