[1]韩端锋,王永魁,鞠磊,等.六角冰晶生长过程的相场模拟[J].哈尔滨工程大学学报,2019,40(09):1537-1542.[doi:10.11990/jheu.201806067]
 HAN Duanfeng,WANG Yongkui,JU Lei,et al.Phase field simulation of the hexagonal ice crystal growth process[J].hebgcdxxb,2019,40(09):1537-1542.[doi:10.11990/jheu.201806067]
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六角冰晶生长过程的相场模拟(/HTML)
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《哈尔滨工程大学学报》[ISSN:1006-6977/CN:61-1281/TN]

卷:
40
期数:
2019年09期
页码:
1537-1542
栏目:
出版日期:
2019-09-05

文章信息/Info

Title:
Phase field simulation of the hexagonal ice crystal growth process
作者:
韩端锋 王永魁 鞠磊 王庆 王春阳
哈尔滨工程大学 船舶工程学院, 黑龙江 哈尔滨 150001
Author(s):
HAN Duanfeng WANG Yongkui JU Lei WANG Qing WANG Chunyang
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
关键词:
上层建筑结冰液滴冰晶相场法有限差分法数值模拟参数影响
分类号:
O781
DOI:
10.11990/jheu.201806067
文献标志码:
A
摘要:
为了研究空气中过冷水滴附着船舶上层建筑后结冰过程的微观机理,本文进行了冰晶生长数值模拟研究。基于相场法中经典的Kobayashi模型,采用有限差分法九点差分格式离散偏微分方程,借助Python语言编程工具实现了冰晶生长的模拟及可视化。通过主要参数的敏感性分析,发现界面宽度均值、融化温度等参数对冰晶生长及最终形貌存在不同程度的影响,枝晶生长模拟过程与显微镜实验观察结果相一致,并与自然界真实存在的雪花轮廓相似,验证了本文数值方法的可靠性,对冰晶生长过程的数值模拟,进一步揭示过冷水滴附着结冰过程的微观机理。

参考文献/References:

[1] 白响恩, 王建忠, 肖英杰. 中国船舶首次穿越北极东北航道纪实[J]. 航海技术, 2013(1):2-5.BAI Xiangen, WANG Jianzhong, XIAO Yingjie. Record of Chinese ships crossing the Arctic northeast passage for the first time[J]. Marine technology, 2013(1):2-5.
[2] 丁德文. 工程海冰学概论[M]. 北京:海洋出版社, 1999:15-17.DING Dewen. An overview of engineering sea ice[M]. Beijing:China Ocean Press, 1999:15-17.
[3] KOBAYASHI R. Modeling and numerical simulations of dendritic crystal growth[J]. Physica D:nonlinear phenomena, 1993, 63(3/4):410-423.
[4] WHEELER A A, BOETTINGER W J, MCFADDEN G B. Phase-field model for isothermal phase transitions in binary alloys[J]. Physical review A, 1992, 45(10):7424-7439.
[5] WHEELER A A, MURRAY B T, SCHAEFER R J. Computation of dendrites using a phase field model[J]. Physica D:nonlinear phenomena, 1993, 66(1/2):243-262.
[6] KIM S G, KIM W T, SUZUKI T. Phase-field model for binary alloys[J]. Physical review E, 1999, 60(6):7186-7197.
[7] QIN R S, WALLACH E R, THOMSON R C. A phase-field model for the solidification of multicomponent and multiphase alloys[J]. Journal of crystal growth, 2005, 279(1/2):163-169.
[8] 陈梅英, 欧忠辉, 卓艳云, 等. 相场法模拟冰晶生长的参数优化[J]. 南京大学学报(自然科学), 2014, 50(6):873-882.CHEN Meiying, OU Zhonghui, ZHUO Yanyun, et al. Optimization of correlative parameters in numerical simulation of ice crystal growth by phase-field[J]. Journal of Nanjing University (natural science), 2014, 50(6):873-882.
[9] 陈梅英, 陈永雪, 王文成, 等. 冷冻浓缩过程冰晶生长的相场法模拟[J]. 福建农林大学学报(自然科学版), 2010, 39(5):548-551.CHEN Meiying, CHEN Yongxue, WANG Wencheng, et al. Phase-field simulation of the growth mechanism of ice crystals in the process of freeze concentration[J]. Journal of Fujian Agriculture and Forestry University (natural science edition), 2010, 39(5):548-551.
[10] 陈梅英, 冯力, 欧忠辉, 等. 基于相场法的液态食品冷冻浓缩冰晶生长数值模拟[J]. 农业工程学报, 2014, 30(3):231-237.CHEN Meiying, FENG Li, OU Zhonghui, et al. Numerical simulation of ice crystal growth of liquid food freeze concentration based on phase-field method[J]. Transactions of the Chinese society of agricultural engineering, 2014, 30(3):231-237.
[11] 卓艳云, 陈梅英, 陈锦权, 等. 各向异性系数对等温结晶冰晶生长相场法模拟的影响[J]. 低温物理学报, 2014, 36(3):232-237.ZHUO Yanyun, CHEN Meiying, CHEN Jinquan, et al. Influence of anisotropy degree on isothermal crystallization process using phase-field[J]. Chinese journal of low temperature physics, 2014, 36(3):232-237.
[12] 李方方, 刘静, 乐凯. 细胞尺度冰晶生长行为的相场数值模拟[J]. 低温物理学报, 2008, 30(2):172-175.LI Fangfang, LIU Jing, YUE Kai. Numerical simulation on lce crystal formulation in cellular level based on phase field theory[J]. Chinese journal of low temperature physics, 2008, 30(2):172-175.
[13] 徐立, 陈尚海, 江焕宝, 等. 极地船海水系统冰晶生长对换热器性能影响的相场模拟[J]. 中国修船, 2017, 30(2):45-48.XU Li, CHEN Shanghai, JIANG Huanbao, et al. The phase field simulation of the influence of heat exchanger performance on ice crystals in sea water piping system of polar ship[J]. China shiprepair, 2017, 30(2):45-48.
[14] 邹阳, 钱华, 梁文清. 制冷剂中冰晶生长的数值模拟[J]. 制冷技术, 2017, 37(2):64-69.ZOU Yang, QIAN Hua, LIANG Wenqing. Numerical simulation of ice crystal growth in refrigerant[J]. Chinese journal of refrigeration technology, 2017, 37(2):64-69.
[15] SHAH A, HAIDER A, SHAH S K. Numerical simulation of two-dimensional dendritic growth using phase-field model[J]. World journal of mechanics, 2014, 4(5):128-136.
[16] SANAL R. Numerical simulation of dendritic crystal growth using phase field method and investigating the effects of different physical parameter on the growth of the dendrite[J]. arXiv preprint arXiv:1412.3197, 2014.
[17] 陶乐仁, 华泽钊. 低温保护剂溶液结晶过程的显微实验研究[J]. 工程热物理学报, 2001, 22(4):481-484.TAO Leren, HUA Zezhao. A microscopic study of the crystallization in Cryoprotectent agents[J]. Journal of engineering thermophysics, 2001, 22(4):481-484.
[18] LIBBRECHT K G. Field guide to snowflakes[M]. Minnesota, USA:Voyageur Press, 2006:53-63.
[19] BIBEN T. Phase-field models for free-boundary problems[J]. European journal of physics, 2005, 26(5):S47-S55.

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备注/Memo

备注/Memo:
收稿日期:2018-06-25。
基金项目:国家自然科学基金项目(51809061,51639004);国家重点研发计划项目(2018YFC1406000,2016YFE0202700);黑龙江省科学基金项目(LC2018021);中央高校基本科研业务费专项资金项目(HEUCFM180111).
作者简介:韩端锋,男,教授,博士生导师;鞠磊,男,讲师,博士.
通讯作者:鞠磊,E-mail:julei@hrbeu.edu.cn.
更新日期/Last Update: 2019-09-06