液层厚度比对环形腔内双层液体的热毛细对流稳定性的影响

Influence of liquid layer depth ratio on stability of thermocapillary flow in annular two-layer system with upper rigid wall

中文关键词: 环形腔  热毛细对流  双层液体  线性稳定性分析  液层厚度比  IRAM

英文关键词: annular pool  thermocapillary flow  two-layer system  linear stability analysis  the ratio of the lower liquid thickness to the total depth  IRAM

中文摘要:

      为了了解微重力条件下、水平温度梯度作用时,上部为固壁的环形腔内双层流体系统中液层厚度比对流动稳定性的影响,采用隐式重启Arnoldi方法(IRAM)对环形池内5cSt硅油/HT-70双层流体的热对流过程进行了线性稳定性分析,获得了不同液层厚度比下的临界Marangoni数、临界波数、临界相速度,并通过计算特征向量,得到了临界Marangoni数附近液-液界面的热流体波形态。

英文摘要:

       In order to understand the liquid layer depth ratio on the stability of a two-layer system with upper rigid walls in a microgravity, a linear stability analysis of thermocapillary flow in the annular immiscible two-layer system of 5cSt silicone oil and HT-70 with a radial temperature gradient was carried out using Implicity Restarted Arnoldi method (IRAM). The critical values of Marangoni number, wave number and phase velocity were obtained at different liquid layer depth ratios, different aspect ratios of the cavity and different radius ratios. The temperature disturbance pattern of hydrothermal wave at the interface near the critical Marangoni number was also exhibited.