上海大学学报(自然科学版) ›› 2012, Vol. 18 ›› Issue (3): 293-298.doi: 10.3969/j.issn.1007-2861.2012.03.015

• 论文 • 上一篇    下一篇

对流槽宽高比对长方体湍流热对流系统传热的影响

李春梅,刘伯方,周全,卢志明,刘宇陆   

  1. (上海大学 上海市应用数学和力学研究所,上海 200072)
  • 出版日期:2012-06-30 发布日期:2012-06-30
  • 通讯作者: 周全(1981~),男,副教授,博士,研究方向为湍流传热. E-mail:qzhou@shu.edu.cn
  • 基金资助:

    国家自然科学基金资助项目(11002085,11072139);上海市“浦江计划”资助项目(10PJ1404000);上海市“晨光计划”资助项目(09CG41)

Aspect Ratio Dependence of Heat Transport by Turbulent RayleighBénard Convection in Rectangular Cells

LI Chun-mei,LIU Bo-fang,ZHOU Quan,LU Zhi-ming,LIU Yu-lu   

  1. (Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China)
  • Online:2012-06-30 Published:2012-06-30

摘要: 采用长方体对流槽,研究以水为流体介质的RayleighBénard(RB)湍流热对流系统中,对流槽宽高比对系统湍流传热Nu-Ra关系的影响.改变对流槽的高度,使对流槽的宽高比分别为(Γx, Γy)=(1.00,0.30),(2.00,0.60),(4.00,1.20),(7.25,2.18),(14.29,4.29)和(20.84,6.25),实验参数Rayleigh数(Ra)和Prandtl数(Pr)的变化区间分别为5.0×105≤Ra≤5.6×1010和5.3≤Pr≤7.0.结果表明,与圆柱形对流槽中的情形不同,长方体对流槽中系统湍流传热的Nu-Ra关系几乎独立于系统对流槽的宽高比.

关键词: 湍流热对流, nard, RayleighBé, 对流传热, 宽高比, 有效导热率

Abstract: This paper reports highprecision measurements of the Nusselt number Nu as a function of the Rayleigh number Ra, which in waterfilled rectangular RayleighBénard (RB) convection cells of aspect ratio (Γxy)=(1.00,0.30), (2.00,0.60), (4.00,1.20), (7.25,2.18), (14.29,4.29) and (20.84,6.25), over the Rayleigh number range 5.0×105≤Ra≤5.6×1010 and the Prandtl number range 5.3≤Pr≤7.0. The results show that, unlike the situation in the cylindrical cells, the turbulent heat transport in rectangular cells is nearly independent of the cells’ aspect ratios.

Key words: aspect ratio, effect of finite conductivity, heat transport, RayleighBénard (RB), turbulent thermal convection

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