王鑫,杨斌鑫

• 1:太原科技大学应用科学学院

摘要(Abstract)：

在常规的相场方法中,耦合格子玻尔兹曼方法,采用新建立的格子-动力学耦合模型模拟不完全结晶的聚合物(ipp)枝晶在流动下的生长。使用多松弛的格子玻尔兹曼方程替代温度场方程,在其中耦合流场,并通过Fortran语言对格子-动力学耦合模型进行求解,规避了传统相场法需要高分辨率场精确解决固液界面的难点的同时,研究了在不同流场流速,界面厚度,驱动力参数下的聚合物(ipp)结晶形貌。结论显示:流速越快,顺流方向枝晶的生长越迅速;增加界面厚度,晶体生长加速;驱动力参数增大,晶体生长速率增加。

关键词(KeyWords)： 聚合物;格子玻尔兹曼方法;相场法;流动;数值模拟

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金(11402210);国家自然科学基金青年科学基金(11701406)

作者(Author): 王鑫,杨斌鑫

参考文献(References)：

• [1] SEKI M,THURMAN D W,OBERHAUSER J P,et al. Shear-Mediated Crystallization of Isotactic Polypropylene:The Role of Long Chain Long Chain Overlap[J]. Macromolecules,2002,35:2583-2594.
• [2] JIN SU,JIE OUYAN,XAIODONG WANG,et al. Lattice Boltzmann method simulation for viscoelastic flows over a wide range of Weissenberg number[J],Journal of Non-Newtonian Fluid Mechanics,2013,194:42-59.
• [3] KARAMA A,RAPPEL W J. Phase-field method for computationally efficient modeling of solidification with arbitrary interface kinetics[J]. Physical Review E,1996,53(4):3017-3020.
• [4] TONG X,BECKERMANN C,KARMA A,et al. Phase-field simulations of dendritic crystalgrowth in a forced flow[J]. Physical Review Letter E,2001,63(6):061601.
• [5] BECKERMANN C,SUN Y. Effect of solid-liquid density change on dendrite tip velocity and shape selection[J]. Crystal growth,2009,311(19):4447-4452.
• [6] HUO H,LI H,MENG Y,et al. Crystallization Behavior of i PP under Shearing[J]. Polym bull,2004,3:13-29.
• [7] KELLER A,KOLNAAR H W H. Flow-Induced Orientation and Structure Formation[M]. Materials Science and Technology.Germany:Wiley-VCH Verlag Gmb H&Co. KGa A,2006:32-49.
• [8] BOUTAOUSA M,BOURGIN P,ZINET M. Thermally and flow induced crystallization of polymers at low shear rate[J]. Journal of Non-Newtonian Fluid Mechanics,2010,165(5-6):227-237.
• [9] WANG X D,OU YANG J,SU J,et al. A phase-field model for simulating various spherulite morphologies of semi-crystalline polymers[J]. Chinese Physics B,2013,22(10):106103-1-7.
• [10]张晨辉，杨斌鑫.枝晶生长过程的相场方法模拟研究[J].太原科技大学学报，2015,36(2):160-164.
• [11] STEFANESCU D M,UPADHYA G,BANDYOPADHYAY D. Heat transfer-solidification kinetics modeling of solidification of castings[J]. Metallurgical&Materials Transactions A,1990,21(3):997-1005.
• [12] YANG B X,ZHANG C H,WANG F. A modified phase-field model for polymer crystal growth[J]. Chinese Journal of Chemical Physics,2017,30(5):538-546.
• [13] GUO L. Crystallinity and microstructure in injection molding of isotactic Polypropylenes. Part 1:A New Approach to Modeling and Model Parameters.[J]. Polymer Engineering&Science,2010,39(10):2096-2114.
• [14]何雅玲，王勇，李庆.格子Boltzmann方法的理论及应用[M].北京:科学出版社，2009.
• [15] ZHOU Y,ZHANG R,STAROSELSKY I,et al. Numerical simulation of laminar and turbulent buoyancy-driven flows using a lattice boltzmann based algorithm[J]. Int J Heat Mass Transf,2004,47:4869-4879.
• [16]郭照立，郑楚光.格子Boltzmann方法的原理及应用[M].北京:科学出版社，2009:61.
• [17]何聪聪，杨斌鑫.常速度流场下纯物质枝晶生长的相场法模拟[J].太原科技大学学报，2017,38(3):238-243.