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侧向加热腔体中的多圈型对流斑图

宁利中 张珂 宁碧波 吴昊 田伟利

宁利中, 张珂, 宁碧波, 吴昊, 田伟利. 侧向加热腔体中的多圈型对流斑图[J]. 应用数学和力学, 2020, 41(3): 250-259. doi: 10.21656/1000-0887.400165
引用本文: 宁利中, 张珂, 宁碧波, 吴昊, 田伟利. 侧向加热腔体中的多圈型对流斑图[J]. 应用数学和力学, 2020, 41(3): 250-259. doi: 10.21656/1000-0887.400165
NING Lizhong, ZHANG Ke, NING Bibo, WU Hao, TIAN Weili. Multi-Roll Type Convection Patterns in Cavities Heated Laterally[J]. Applied Mathematics and Mechanics, 2020, 41(3): 250-259. doi: 10.21656/1000-0887.400165
Citation: NING Lizhong, ZHANG Ke, NING Bibo, WU Hao, TIAN Weili. Multi-Roll Type Convection Patterns in Cavities Heated Laterally[J]. Applied Mathematics and Mechanics, 2020, 41(3): 250-259. doi: 10.21656/1000-0887.400165

侧向加热腔体中的多圈型对流斑图

doi: 10.21656/1000-0887.400165
基金项目: 国家自然科学基金(10872164)
详细信息
    作者简介:

    宁利中(1961—),男,教授,博士(通讯作者. E-mail: ninglz@xaut.edu.cn).

  • 中图分类号: O357

Multi-Roll Type Convection Patterns in Cavities Heated Laterally

Funds: The National Natural Science Foundation of China(10872164)
  • 摘要: 基于流体力学方程组的数值模拟,研究了倾角θ=90°时侧向加热的大高宽比腔体中的对流斑图.对于Prandtl数Pr=6.99的流体,在相对Rayleigh数2≤Rar≤25的范围内,腔体中发生的是单圈型对流斑图.对于Pr=0.027 2的流体,取Rar=13.9,随着计算时间的发展,腔体中由最初的单圈型对流斑图过渡到多圈型对流斑图,这是出现在侧向加热大高宽比腔体中的新型对流斑图.对不同Rar情况的计算结果表明,Rar对对流斑图的形成存在明显的影响.当Rar≤4.4时是单圈型对流滚动;当Rar=8.9~11.1时是过渡状态;当Rar≥13.9时是多圈型对流滚动.对流最大振幅和Nusselt数Nu随着相对Rayleigh数的增加而增加.该对流斑图与Pr=6.99时对流斑图的比较说明,对流斑图的形成依赖于Prandtl数.
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出版历程
  • 收稿日期:  2019-05-09
  • 修回日期:  2019-05-24
  • 刊出日期:  2020-03-01

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