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Oscillatory instability of the gas-liquid meniscus in a capillary under the imposed temperature difference

机译:施加温差时毛细管中气液弯月面的振荡不稳定

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To understand the oscillations in the real, multi-branch pulsating heat pipe (PHP), the start-up conditions of the single branch PHP with no adiabatic section are studied theoretically and numerically. The single branch PHP is a capillary open from one end, which is connected to a reservoir at constant pressure. A gas bubble is confined between the sealed end of the capillary and the liquid. The gas is the vapor of the liquid. The gas end of the capillary is maintained at a constant temperature larger than that of the liquid end. Under certain conditions, self-sustained oscillations of the meniscus may exist in such a system. The conditions of oscillation development (i.e. of the PHP startup) are obtained via the stability analysis of an earlier proposed theoretical model. The linear instability is absent in such a system. The instability of a marginal state described by piece-wise linear equations is analyzed with the analytical averaging method. The instability boundary is presented in terms of dimensionless groups, the physical significance of which is discussed. It is found that the model describes correctly the known experimental facts. Some predictions concerning the instability threshold are formulated.
机译:为了了解实际的多分支脉动热管(PHP)中的振荡,从理论和数值上研究了无绝热截面的单分支PHP的启动条件。单分支PHP是从一端开放的毛细管,该毛细管在恒定压力下连接到储液罐。气泡被限制在毛细管的密封端和液体之间。气体是液体的蒸气。毛细管的气体端保持在比液体端大的恒定温度下。在某些条件下,这种系统可能会出现弯月面的自持振荡。振荡发展的条件(即PHP启动)是通过较早提出的理论模型的稳定性分析获得的。在这样的系统中不存在线性不稳定性。用解析平均法分析了由分段线性方程描述的边际状态的不稳定性。用无量纲基团表示了不稳定性边界,并讨论了其物理意义。发现该模型正确地描述了已知的实验事实。提出了有关不稳定性阈值的一些预测。

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