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清华大学学报(自然科学版)  2020, Vol. 60 Issue (12): 1039-1046    DOI: 10.16511/j.cnki.qhdxxb.2020.21.013
  物理与物理工程 本期目录 | 过刊浏览 | 高级检索 |
引入熔融糊状区的PMMA逆流火蔓延数值模拟
罗圣峰1,谢启源2,*(),张辉1,*(),王光健3
1. 清华大学 工程物理系, 北京 100084
2. 中国科学技术大学 火灾科学国家重点实验室, 合肥 230026
3. 清华大学 航天航空学院, 北京 100084
Numerical simulation of opposed-flow flame spread of PMMA with melting mushy zone
Shengfeng LUO1,Qiyuan XIE2,*(),Hui ZHANG1,*(),Guangjian WANG3
1. Department of Engineering Physics, Tsinghua University, Beijing 100084, China
2. State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei 230026, China
3. School of Aerospace Engineering, Tsinghua University, Beijing 100084, China
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摘要 

该文通过数值模拟研究了聚甲基丙烯酸甲酯(PMMA)板材逆流火蔓延过程,将PMMA火蔓延过程中的糊状区熔融相变传热过程引入到材料的能量方程,并建立气相燃烧反应的组分方程和传热微分方程。通过在材料上边界局部位置施加固定热流以实现点火过程,研究相变材料由点火、非稳定火蔓延到稳定火蔓延过程中的典型特性。基于凝聚相温度场,获得了糊状区和熔融相界面的形态。结果表明:火焰前缘附近的糊状区较薄,火焰前锋下游糊状区呈缓慢增厚趋势,火焰前锋附近的液相熔融界面较浅;随着与火焰前锋距离的增大,熔融深度逐渐加深。基于模拟结果和尺度分析,表明熔融界面形态近似呈二次函数发展。

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罗圣峰
谢启源
张辉
王光健
关键词 聚甲基丙烯酸甲酯(PMMA)火蔓延数值模拟熔融相变    
Abstract

The opposed-flow flame spreading along a polymethyl methacrylate (PMMA) sheet was investigated numerically. The melting process included a mushy transition region in the energy equation during the flame spreading. The fuel was ignited by applying a fixed heat flow at one position on the upper boundary of the material. The results show the typical procedures of ignition followed by unstable to stable flame spreading. The morphology of the mushy zone and the molten phase thickness were obtained based on the temperature field. The results show that the mushy zone is thin near the flame front and gradually thickens downstream of the flame front. Additionally, the melt region is shallow near the flame front and gradually deepens with increasing the distance from the flame front. The numerical results and a scale analysis show that the melt interface location can be approximated by a quadratic function.

Key wordspolymethyl methacrylate (PMMA)    flame spread    numerical simulation    melt transition
收稿日期: 2020-04-27      出版日期: 2020-10-14
通讯作者: 谢启源,张辉     E-mail: xqy@ustc.edu.cn;zhhui@tsinghua.edu.cn
引用本文:   
罗圣峰,谢启源,张辉,王光健. 引入熔融糊状区的PMMA逆流火蔓延数值模拟[J]. 清华大学学报(自然科学版), 2020, 60(12): 1039-1046.
Shengfeng LUO,Qiyuan XIE,Hui ZHANG,Guangjian WANG. Numerical simulation of opposed-flow flame spread of PMMA with melting mushy zone. Journal of Tsinghua University(Science and Technology), 2020, 60(12): 1039-1046.
链接本文:  
http://jst.tsinghuajournals.com/CN/10.16511/j.cnki.qhdxxb.2020.21.013  或          http://jst.tsinghuajournals.com/CN/Y2020/V60/I12/1039
  热塑性材料受热熔融相变过程和火蔓延过程示意图
10.16511/j.cnki.qhdxxb.2020.21.013.T001

模型主要物性参数

参数 数值
固相导热系数ks/(W·m-1·K-1) 0.2
固相密度ρs/(kg·m-3) 1 190
液相导热系数kl/(W·m-1·K-1) 0.36
固相线温度Ts/K 440
热解活化能Ec/(J·mol-1) 129 872.9
气体导热系数kg/(W·m-1·K-1) 0.041 1
热解反应热qc/(J·kg-1) 9.41×105
燃烧热qg/(J·kg-1) -2.59×107
初始氧质量分数Yo, ∞ 0.3
可燃气反应当量比uf 1
PMMA比热容Cps/(J·kg-1·K-1) 1 460
液相密度ρl/(kg·m-3) 1 500
液相线温度Tl/K 500
热解指前因子Ac/(J·mol-1) 2.82×109
渗透系数Ke 0.95
气体比热容Cpg/(J·kg-1·K-1) 1 007
初始温度T/K 300
发射系数ε 0.84
氧气反应当量比uo 4
  
模型主要物性参数
  (网络版彩图)火蔓延过程中材料表面(y=0)温度分布
  (网络版彩图)点火阶段、非稳定火蔓延阶段和稳定火蔓延阶段垂直于材料表面温度梯度分布
  (网络版彩图)稳定火蔓延阶段材料内部温度和温度梯度分布
  (网络版彩图)材料内部温度场
  (网络版彩图)稳定火蔓延条件下熔融相界面固相线与液相线形态拟合结果对比
  (网络版彩图)火焰前锋气相结构
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