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Some bifurcation routes to chaos of thermocapillary convection in two-dimensional liquid layers of finite extent

机译:有限范围内二维液体层中热毛细管对流混沌的一些分叉路径

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As a part of the preliminary studies for the future space experiment (Zona-K) in the Russian module of the International Space Station, some bifurcation routes to chaos of thermocapillary convection in two-dimensional liquid layers filled with 10 cSt silicone oil have been numerically studied in this paper. As the laterally applied temperature difference is raised, variations in the spatial structure and temporal evolution of the thermocapillary convection and a complex sequence of transitions are observed. The results show that the finite extent of the liquid layer significantly influences the tempo-spatial evolution of the thermocapillary convection. Moreover, the bifurcation route of the thermocapillary convection changes very sensitively by the aspect ratio of the liquid layer. With the increasing Reynolds number (applied temperature difference), the steady thermocapillary convection experiences two consecutive transitions from periodic oscillatory state to quasi-periodic oscillatory state with frequency-locking before emergence of chaotic convection in a liquid layer of aspect ratio 14.25, and the thermocapillary convection undergoes period-doubling cascades leading to chaotic convection in a liquid layer of aspect ratio 13.0. Published by AIP Publishing.
机译:作为对国际空间站俄罗斯舱中未来空间实验(Zona-K)进行的初步研究的一部分,在数值上用10 cSt硅油填充的二维液层中一些分叉路径导致热毛细管对流混乱本文进行了研究。随着侧向施加的温差的升高,观察到热毛细管对流的空间结构和时间演变以及复杂的过渡序列。结果表明,液层的有限程度显着影响了热毛细管对流的时空演变。此外,热毛细对流的分叉路径通过液层的纵横比非常敏感地变化。随着雷诺数的增加(施加的温度差),稳态热毛细管对流经历两次连续的从周期振荡状态到准周期振荡状态的转换,并具有锁频,然后在纵横比为14.25的液体层中出现混沌对流,而热毛细管对流经历倍增的级联级联,导致纵横比为13.0的液体层中出现对流。由AIP Publishing发布。

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