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对流槽宽高比对长方体湍流热对流系统传热的影响
引用本文:李春梅,刘伯方,周全,卢志明,刘宇陆.对流槽宽高比对长方体湍流热对流系统传热的影响[J].上海大学学报(自然科学版),2012(3):293-298.
作者姓名:李春梅  刘伯方  周全  卢志明  刘宇陆
作者单位:上海大学上海市应用数学和力学研究所,上海200072
基金项目: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)
摘    要:采用长方体对流槽,研究以水为流体介质的Rayleigh-Benard(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(Γ,Γ)=(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:Rayleigh-Benard  湍流热对流  宽高比  对流传热  有效导热率

Aspect Ratio Dependence of Heat Transport by Turbulent Rayleigh-Benard Convection in Rectangular Cells
LI Chun-mei,LIU Bo-fang,ZHOU Quan,LU Zhi-ming,LIU Yu-lu.Aspect Ratio Dependence of Heat Transport by Turbulent Rayleigh-Benard Convection in Rectangular Cells[J].Journal of Shanghai University(Natural Science),2012(3):293-298.
Authors:LI Chun-mei  LIU Bo-fang  ZHOU Quan  LU Zhi-ming  LIU Yu-lu
Affiliation:(Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,China)
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-Benard(RB) convection cells of aspect ratio(Tx,ry) =(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.
Keywords:Rayleigh-B6nard(RB)  turbulent thermal convection  aspect ratio  heat transport  effect of finite conductivity
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