单液膜气泡聚并和连接过程的移动粒子半隐式法数值模拟
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摘要
为了研究单液膜气泡单层液膜包裹气体的特殊结构形式和内外壁面均受气液表面张力的特殊力学形式,在拉格朗日框架下采用无网格移动粒子半隐式法并基于表面自由能表面张力模型,建立了单液膜双气液界面表面张力模型,从而实现了单液膜气泡振荡变形过程中的复杂界面计算和捕捉。在此基础上对2个单液膜气泡的聚并和连接过程进行了模拟分析,获得了典型的流动现象和液膜变形特征与规律,发现减小表面张力系数或增大黏性系数均会减弱气泡变形过程中表面张力项的变形主导作用。为此,提出了凹点切线法用于计算连接型气泡的液膜夹角,明晰了连接型气泡的形状。计算结果可为工业消泡技术提供一定的理论依据。
The mesh-less moving particle semi-implicit method is employed within the Lagrangian framework to investigate the special geometry of the single film bubble with gas being shrouded by a layer of liquid film,and its special dynamic characteristic that surface tension acts both on the inside and outside interfaces.A surface tension model of the single-film-double-interfaces is established based on the surface tension model of surface free energies,and the complex interface movement in the oscillation process of the single-film bubble is calculated and captured.Moreover,the coalescence and connection process of two single-film bubbles are simulated and analyzed,and the typical flow phenomena and deformation characteristics of the liquid film are obtained.Results show that the leading role of the surface tension in the bubble deforming process reduces when either the surface tension coefficient decreases or the fluid viscosity increases.Furthermore,a concave tangent method is proposed to calculate the angle of the liquid film of the connected bubbles, which helps to describe the shape of connected bubble,quantitatively.These results provide some theoretical supports to the industrial froth breaking.
The mesh-less moving particle semi-implicit method is employed within the Lagrangian framework to investigate the special geometry of the single film bubble with gas being shrouded by a layer of liquid film,and its special dynamic characteristic that surface tension acts both on the inside and outside interfaces.A surface tension model of the single-film-double-interfaces is established based on the surface tension model of surface free energies,and the complex interface movement in the oscillation process of the single-film bubble is calculated and captured.Moreover,the coalescence and connection process of two single-film bubbles are simulated and analyzed,and the typical flow phenomena and deformation characteristics of the liquid film are obtained.Results show that the leading role of the surface tension in the bubble deforming process reduces when either the surface tension coefficient decreases or the fluid viscosity increases.Furthermore,a concave tangent method is proposed to calculate the angle of the liquid film of the connected bubbles, which helps to describe the shape of connected bubble,quantitatively.These results provide some theoretical supports to the industrial froth breaking.
引文
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[3]张建生,吕青,孙传东,等.高速摄影技术对水中气泡运动规律的研究[J].光子学报,2000,29(10):952-955.ZHANG Jiansheng,LV Qing,SUN Chuandong,et al.High speed photography to motion of bubbles in water[J].Photonics Journal,2000,29(10):952-955.
[4]CHAN D Y C,KLASEBOER E,MANICA R.Film drainage and coalescence between deformable drops and bubbles[J].Soft Matter,2011,7(6):2235-2264.
[5]顾汉洋,郭烈锦,张西民,等.水平管内气液两相流中单气泡形态特征实验研究[J].工程热物理学报,2006,27(3):433-436.GU Hanyang,GUO Liejin,ZHANG Ximin,et al.Single bubbles in gas-liquid two-phase flow in a horizontal tube shape characteristics[J].Journal of Engineering Physics,2006,27(3):433-436.
[6]LU Huilin,SHEN Zhiheng,DING Jianming,et al.Numerical simulation of bubble and particles motions in a bubbling fluidized bed using direct simulation Monte-Carlo method[J].Powder Technology,2006,169(3):159-171.
[7]OLMOS E,GENTRIC C,VIAL C,et al.Numerical simulation of multiphase flow in bubble column reactors:Influence of bubble coalescence and break-up[J].Chemical Enginering Science,2001,56(21/22):6359-6365.
[8]刘红,解茂昭,李科,等.液态金属熔池中气泡-液体两相湍流的数值模拟研究[J].计算力学学报,2007,24(5):669-673.LIU Hong,XIE Maozhao,LI Ke,et al.Numerical simulation of two phase turbulent bubbling flow induced by gas injecting into metal melt[J].Chinese Journal of Computational Mechanics,2007,24(5):669-673.
[9]SUNGKORN R,DERKSEN J J,KHINAST J G.Modeling of turbulent gas-liquid bubbly flows using stochastic Lagrangian model and lattice-Boltzmann scheme[J].Chemical Engineering Science,2011,66(12):2745-2757.
[10]CHEN Li,GARIMELLA S V,REIZES J A,et al.The development of a bubble rising in a viscous liquid[J].Journal of Fluid Mechanics,1999,387(2):61-96.
[11]张淑君,吴锤结.气泡之间相互作用的数值模拟[J].水动力学研究与进展,2008,23(6):89-94.ZHANG Shujun,WU Chuijie.Numerical simulation of the interaction between bubbles[J].Hydrodynamic Research and Progress,2008,23(6):89-94.
[12]SUSSMAN M,ALMGREN A S,BELL J B,et al.An adaptive level set approach for incompressible twophase flows[J].Office of Scientific&Technical Information Technical Reports,1999,148(1):81-124.
[13]AMAYA-BOWER L,LEE T.Single bubble rising dynamics for moderate Reynolds number using lattice Boltzmann method[J].Computers&Fluids,2010,39(7):1191-1207.
[14]YU Zhao,YANG Hui,FAN Liang-Shih.Numerical simulation of bubble interactions using an adaptive lattice Boltzmann method[J].Chemical Engineering Science,2011,66(14):3441-3451.
[15]KOSHIZUKA S,OKA Y.Moving-particle semi-implicit method for fragmentation of incompressible fluid[J].Nuclear Science&Engineering,1996,123(3):421-434.
[16]SUN Zhongguo,XI Guang,CHEN Xi.A numerical study of stir mixing of liquids with particle method[J].Chemical Engineering Science,2009,64(2):341-350.
[17]SUN Zhongguo,XI Guang,CHEN Xi.Mechanism study of deformation and mass transfer for binary droplet collisions with particle method[J].Physics of Fluids,2009,21(3):4008.
[18]KONDO M,KOSHIZUKA S,SUZUKI K,et al.Surface tension model using inter-particle force in particle method[J].Computer Methods in Applied Mechanics and Engineering,2007,81(4):82.
[19]CYBAHOBA Y,杨廷锴.肥皂溶液的物理化学性质[J].日用化学品科学,1985(4):31-32.CYBAHOBA Y,YANG Tingkai.Physical and chemical properties of the soap solution[J].Daily Chemical Science,1985(4):31-32.