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太阳池是一种具有盐度梯度的水池,是大规模利用太阳能的一种途径。文献中普遍采用的温伯格条件忽略掉了很多参数的影响,并不能很好地描述太阳池中无对流区的对流状态。因此,本文引入了热质双扩散对流模型来描述太阳池无对流区受到小扰动后的对流传热状况。对其进行了线性稳定性分析,给出了临界盐度梯度的表达式,以及参数对系统稳定性的影响。本文的结果对控制太阳池盐度梯度而进一步控制无对流区的稳定性是有一定意义的。
The solar pool is a pool of salinity gradients that is a way of harnessing solar energy on a large scale. The Weinberg conditions commonly used in the literature ignore the influence of many parameters and do not describe the convection state of the convective zone in the solar pool well. Therefore, this paper introduces a thermal-mass dual-diffusion convection model to describe the convective heat transfer in the no-convection zone of the solar pool under small disturbances. The linear stability analysis is carried out, and the expression of the critical salinity gradient and the influence of the parameters on the system stability are given. The results of this paper are of great significance for controlling the salinity gradient of the solar cell and further controlling the stability of the convective zone.