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一种基于Boltzmann方程的碳基复合材料氧化烧蚀微观界面的追踪方法

袁经超 朱子镝 张方舟 张丹 张伟刚 李爱军

袁经超, 朱子镝, 张方舟, 张丹, 张伟刚, 李爱军. 一种基于Boltzmann方程的碳基复合材料氧化烧蚀微观界面的追踪方法. 新型炭材料, 2018, 33(5): 469-475.
引用本文: 袁经超, 朱子镝, 张方舟, 张丹, 张伟刚, 李爱军. 一种基于Boltzmann方程的碳基复合材料氧化烧蚀微观界面的追踪方法. 新型炭材料, 2018, 33(5): 469-475.
YUAN Jing-chao, ZHU Zi-di, ZHANG Fang-zhou, ZHANG Dan, ZHANG Wei-gang, LI Ai-jun. A Boltzmann model for calculating the microscopic ablation morphology of C/C composites. New Carbon Mater., 2018, 33(5): 469-475.
Citation: YUAN Jing-chao, ZHU Zi-di, ZHANG Fang-zhou, ZHANG Dan, ZHANG Wei-gang, LI Ai-jun. A Boltzmann model for calculating the microscopic ablation morphology of C/C composites. New Carbon Mater., 2018, 33(5): 469-475.

一种基于Boltzmann方程的碳基复合材料氧化烧蚀微观界面的追踪方法

基金项目: 国家自然科学基金(21676163,51602189);航空科学基金(2016ZFS6001,2017ZFS6001).
详细信息
    作者简介:

    袁经超,硕士研究生.E-mail:yuanjc116@163.com

    通讯作者:

    张丹,博士,讲师.E-mail:dan.zhang@shu.edu.cn

  • 中图分类号: TQ127.1+1

A Boltzmann model for calculating the microscopic ablation morphology of C/C composites

Funds: National Natural Foundation of China(21676163,51602189);Aeronautical Science Foundation of China(2016ZFS6001, 2017ZFS6001).
  • 摘要: 针对碳基复合材料的非均相特点,构建环境-纤维-中间相-基体多相单胞烧蚀模型,应用非平衡统计物理学的Boltzmann方程,求解该扩散-表面非均相氧化反应体系中各相的空间演化过程,实现对介尺度下烧蚀界面的精确追踪。本文先对两相单胞模型进行了求解,获得了与解析解一致的结果,验证了模型。再对三相单胞模型的烧蚀过程进行了数值模拟。结果表明,氧化烧蚀界面的形貌主要取决于相邻两相之间的状态;气相浓度的线性化假设在远离界面处具有合理性,但在界面附近气相浓度呈非线性分布。由于扩散的限制,纤维与基体之间的界面相在氧化烧蚀过程中存在最大烧蚀深度。通过数值模拟给出了烧蚀深度与舍伍德数、纤维半径和反应速率比之间的函数关系,提出的界面追踪算法在求解过程中表现出了很好的稳定性。
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出版历程
  • 收稿日期:  2018-07-30
  • 录用日期:  2018-11-01
  • 修回日期:  2018-10-02
  • 刊出日期:  2018-10-28

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