轴对称加热条件下圆盘实验中波的转变过程的初步分析
AN ANALYSES OF THE CHANGES OF THE LONG-WAVES IN A STEADY ROTATING DISHPAN EXPERIMENT
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摘要: 对于一控制在中心降冷、边缘加热的旋转圆盘内的流体,增加或减少其温差,可引起流体中波数的转变。本文对四波向三波及三波向四波的转变过程作了较详细的分析,发现在四波向三波转变时,平均经圈环流和西风强度均发生迅速的变化。维持四波时,平均经圈环流为靠近热源处下沉和靠近冷源处上升的反环流。当转变过程发生时,经圈环流转变成正环流,转换完成后则恢复成反环流。在经圈环流变化的同时,西风强度也发生由弱变强而后再由强变弱的转变。三波向四波转变时,经圈环流及西风强度没有上述变化,只有强度的不同。根据热量输送的计算结果,波数不同,它所产生的热量的涡动输送也不一样,三波时热量的涡动输送较强,四波时热量的涡动输送较弱。最后,我们联系热量输送的特点对上述结果进行了初步的讨论。Abstract: In our experiment, the fluid is contained between two concentric rotating didhpans, the inner one is a cold source and the outer a heat source. The increase and secrease of the temperature difference between the heat and cold source may effect the changes of the wave number of fluid flow in a steady rotating dishpans. It is analysed carefully that the four-waves flow changes into three-waves and vice versa. We observe that the mean meridional circulation and the intensity of mean zonal current vary rapidly during the changes from the four-waves flow into three- waves. In the steady four-waves flow, the mean meridional circulation is indirect, with a descending motion near the cold source and an ascending motion near the heat source, as shown in Fig. 4.However, at the beginning of the transformation from the four-waves flow into three-waves, the mean meridional circulation changes rapidly into direct (Fig. 4).As soon as the three-waves flow has been formed, the indirect mean meridional circulation is reproduced. The mean zonal flow is also changed with the mean meridional circulation. At beginning it intensifies and then it weakens. During the transformation from three-waves flow into four-waves, the variations described above in mean meridional circulation and zonal flow do not occur, but the variations in intensity may also appear. It is calculated that the heat transfer by large-scale eddies is different between three-waves and four-waves steady current. The heat transfer by eddies of three-waves is larger than that of four-waves. Some explanations of these results of the experiment are discussed. It seems that the variations of meridional circulation and heat transfer by large-scale eddies may play an important role in the medium range variations of the general circulation of the atmosphere.