上海大学学报(自然科学版) ›› 2009, Vol. 15 ›› Issue (6): 637-643.

• 数理化科学 • 上一篇    下一篇

Rayleigh-Bénard湍流热对流中主动和被动标量场Cliff结构统计特性的实验研究

周全   

  1. (上海大学 上海市应用数学和力学研究所,上海 200072)
  • 收稿日期:2009-06-28 出版日期:2009-12-28 发布日期:2009-12-28
  • 通讯作者: 周全(1981~),男,副教授,研究方向为湍流热对流. Email:qzhou@shu.edu.cn
  • 作者简介:周全(1981~),男,副教授,研究方向为湍流热对流. Email:qzhou@shu.edu.cn
  • 基金资助:

    上海市自然科学基金资助项目(09ZR1411200);上海市“晨光计划”资助项目(09CG41);上海大学创新基金资助项目

Experimental Investigation of Cliff-Structure Properties of Active and Passive Scalars in Turbulent Rayleigh-énard Convection

ZHOU Quan   

  1. (Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China)
  • Received:2009-06-28 Online:2009-12-28 Published:2009-12-28

摘要:

实验研究了Rayleigh-Bénard湍流热对流中主动和被动标量场Cliff结构的统计特性,实验参数Rayleigh数为Ra=1.2×1010,Prandtl数为Pr=5.3.在充满对流介质水的长方体对流槽边壁附近实验测量了局域浓度场(被动标量场)和局域温度场(主动标量场)的时间序列,从测得的时间序列中提取出Cliff结构,提取参数为β,并分析了Cliff结构的宽度、振幅和尺寸的数量分布图.研究发现,浓度和温度场Cliff结构宽度的数量分布图形状并不随β而改变,而Cliff结构的最可几振幅却随着β的增大而增大.此外,Cliff结构的尺寸满足对数正态分布,这表明湍流热对流中被动标量场的扩散和混合是由羽流等浮力相干结构所驱动的.

关键词: Rayleigh-Bénard;湍流热对流;标量湍流;主动标量;被动标量;Ramp-Cliff结构

Abstract:

Statistical properties of cliff structures of active and passive scalar fields in a waterfilled turbulent RayleighBénard convection cell are investigated experimentally at Ra=1.2×1010 and Pr=5.3. An arithmetic with a parameter β used to describe “intensity” of cliffs is applied to extract cliff structures from time series of the local concentration (passive scalar) of fluorescence dye and the local temperature (active scalar). Both scalars are measured near the sidewall of a rectangular cell. Histograms of the cliffs’ width, amplitude and size are studied quantitatively. It is found that, for both scalars, shapes of the histograms for cliffs’ width are invariant with respective to the β value, while the cliffs’ most probable amplitude shifts to higher values with increasing β. The obtained results show that the sizes of cliff structures of both scalars are log-normal distributed and the passive scalar mixing in turbulent thermal convection is determined by thermal plumes. 

Key words: Rayleigh-Bénard; turbulent thermal convection; scalar turbulence; active scalar; passive scalar; Ramp-Cliff structure

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