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| 高瑞利数下水平自然热对流的幂律关系 | |
| 引用本文： | 孙亮,孙一峰,马东军,孙德军.高瑞利数下水平自然热对流的幂律关系[J].物理学报,2007,56(11):6503-6507. |
| 作者姓名： | 孙亮 孙一峰 马东军 孙德军 |
| 作者单位： | 1. 中国科学技术大学地球与空间科学学院,合肥,230026;中国科学院大气物理研究所LASG国家重点实验室,北京,100029 2. 中国科学院研究生院生物运动力学实验室,北京,100049 3. 中国科学技术大学力学和机械工程系,合肥,230027 |
| 基金项目： | 国家自然科学基金;中国博士后科学基金 |
| 摘 要： | 采用数值模拟方法，研究了高度和宽度比为1∶10的狭长矩形腔内的水平自然热对流. 根据对瑞利数(Rayleigh数)Ra在104 <Ra<1011内情形的计算结果，将流动分为三个不同的区间：线性区、连续过渡区、1/5次幂律区. 虽然流量和努塞尔数(Nusselt数)Nu随瑞利数的变化都包括了三个参数演化区间，但从一个区间到另外一个参数区间的转变时并不是同步的，其中努塞尔数的转变总是超前流量的转变. 对比前人的研究发现，流量1/3次幂律的结果是由于瑞利数不够高所致. 此外，模拟结果也表明Siggers等的理论分析过高估计了热通量强度，实际的温度边界层内努塞尔数和瑞利数为1/5次幂律关系. |
| 关 键 词： | 水平自然对流 1/5次幂律 瑞利数 努塞尔数 |
| 文章编号： | 1000-3290/2007/56(11)/6503-05 |
| 收稿时间： | 2007-01-29 |
| 修稿时间： | 4/9/2007 12:00:00 AM |
Power law of horizontal convection at high Rayleigh numbers |
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| Sun Liang,Sun Yi-Feng,Ma Dong-Jun,Sun De-Jun.Power law of horizontal convection at high Rayleigh numbers[J].Acta Physica Sinica,2007,56(11):6503-6507. | |
| Authors: | Sun Liang Sun Yi-Feng Ma Dong-Jun Sun De-Jun |
| Institution: | 1.School of Earth and space Sciences,University of Science and Technology of China,Hefei 230026,China;2.LASG.,Institute of Atmospheric Physics,Chinese Academy of Science,Beijing 100029,China;3.The Laboratory for Biomechanics of Animal Locomotion,Graduate University of Chinese Academy of Sciences,Beijing 100049,China;4.Department of Modern Mechanics,University of Science and Technology of China,Hefei 230027,China |
| Abstract: | The horizontal convection at high Rayleigh number (Ra) in a rectangle cavity with aspect ratio of 1∶10 is numerically simulated. The horizontal convection is an important model to understand the ocean circulation and the power laws of the flow are the most concerned. According to the results within the regime of 104<Ra<1011, three continuous regimes are obtained: the linear regime (104<Ra<106), the transition regime (106<Ra<108) and the 1/5-power law regime (108<Ra<1011). For the flow strength, a 1/3-power law of Ra is fitted when Ra is not high enough (107<Ra<108). However, a 1/5-power law is obtained when Ra is high enough (108<Ra<1011). The 1/5-power law confirms the analysis of Rossby and implies that 1/3-power law of Ra for Nusselt number by Siggers et al. is an over estimation. |
| Keywords: | horizontal convection 1/5-power law Rayleigh number Nusselt number |
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