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Effect of Free Surface Heat Transfer on Thermocapillary Convection in Floating Zone Liquid Bridge

机译：自由表面传热对浮区液桥中热毛细管对流的影响

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A numerical study has been done to investigate thermocapillary convection in a floating zone liquid bridge of high Prandtl number fluid under microgravity condition. The effects of free surface heat loss and heat gain are computed. It is observed that steady thermocapillary flow becomes unsteady beyond a certain imposed temperature difference (△T_(cr)) between hot and cold walls with insulated and fixed free surface. The oscillation mechanism is a rotating hydrothermal wave of mode 1 in this case. The analysis of free surface heat transfer reveals that a small amount of free surface heat loss stabilizes the flow significantly i.e. critical temperature difference or critical Marangoni number (Ma_(cr)) increases with an increase in free surface heat loss. Marangoni number remains generally unchanged for a small value of free surface heat gain and tends to increase slightly beyond a specific value of free surface heat gain. Critical conditions are less sensitive to free surface heat gain compared to heat loss case. The results show a good qualitative agreement with other studies. Two different starting oscillation mechanisms i.e. standing hydrothermal wave of mode 2 (m=2) in case of insulated free surface or free surface heat gain, and rotating hydrothermal wave of mode 2 (m=2) in case of free surface heat loss are observed.
机译：已经进行了数值研究，以研究微重力条件下高普朗特数流体浮区液桥中的热毛细管对流。计算了自由表面热损失和热量获取的影响。可以观察到，在具有隔热和固定自由表面的热壁和冷壁之间，超过一定的施加温差（△T_（cr）），稳定的热毛细流变得不稳定。在这种情况下，振荡机制是模式1的旋转热液波。自由表面热传递的分析表明，少量的自由表面热损失可显着稳定流动，即，临界温度差或临界Marangoni数（Ma_（cr））随着自由表面热损失的增加而增加。对于较小的自由表面热增益，Marangoni数通常保持不变，并且趋于略微增加，超过自由表面热增益的特定值。与热损失的情况相比，临界条件对自由表面热获取的敏感性较低。结果显示出与其他研究的良好的定性一致性。观察到两种不同的启动振荡机制，即在绝缘自由表面或自由表面热增益的情况下，模式2的静水热波（m = 2），在自由表面热损失的情况下，观察到模式2的旋转水热波（m = 2）。 。

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