The effect of gas-phase transport on Marangoni convection in volatile binary fluids driven by a horizontal temperature gradient
The effect of gas-phase transport on Marangoni convection in volatile binary fluids driven by a horizontal temperature gradient
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DOI：
10.1016/j.ijheatmasstransfer.2020.119999
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发表时间：
2020-09
影响因子：
5.2
通讯作者：
T. Qin;R. Grigoriev
中科院分区：
文献类型：
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作者：
T. Qin;R. Grigoriev
最近的实验和数值研究中的限制层的挥发性二元液体的自由表面受到水平温度梯度的对流观察到的逆转的方向的界面流动的空气浓度的蒸气空间以上的液体是减少。这些观察结果表明，在气相中的运输有显着的热毛细和solutocillary应力之间的平衡的影响，之间的竞争决定了流动方向。为了开发一个定量描述的流动逆转，我们使用的双面（液体/气体）传输模型之前介绍的界面温度和液体的组成，从而预测热毛细和solutocillary应力，和流动方向获得近似的解析解。因此，我们的解决方案为热管理应用选择最佳二元冷却剂成分和操作条件提供了有用的指导。尽管这个问题的复杂性，我们已经发现，在气相中的质量传输是有效的一维和独立的流量在中等到大的纵横比腔足够低的温度梯度，这使得这个问题被简化和解决分析在一个顺序的方式。我们的理论预测与数值模拟的结果吻合得很好，这表明解析分析抓住了问题的本质物理。
Recent experimental and numerical studies of convection in confined layers of volatile binary liquids with a free surface subjected to a horizontal temperature gradient have observed a reversal in the direction of interfacial flow as the concentration of air in the vapor space above the liquid is decreased. These observations suggest that transport in the gas phase has a significant effect on the balance between thermocapillary and solutocapillary stresses, the competition between which determines the flow direction. In order to develop a quantitative description of the flow reversal, we use the two-sided (liquid/gas) transport model introduced previously to obtain approximate analytical solutions for the interfacial temperature and composition of the liquid, hence predict thermocapillary and solutocapillary stresses, and the flow direction. Therefore, our solutions provide useful guidelines for choosing the optimal binary coolants composition and operating conditions for thermal management applications. Despite the complex nature of this problem, we have found that the mass transport in the gas phase is effectively one-dimensional and independent of the flow in moderate to large aspect-ratio cavity for sufficiently low temperature gradients, which allows this problem to be simplified and solved analytically in a sequential manner. Our theoretical predictions agree well with the results of numerical simulations, which indicates that the analytical analysis captures the essential physics of the problem.