Roll convection developed under vibrations in the two-layer fluid system with homogeneous porous zone of different permeability is investigated. The system performs high-frequency oscillations directed transversely to the vertical temperature gradient in weightlessness. The convection problem is simulated on the basis of the averaging technique. The ranges of vibration frequencies and permeabilities of the porous zone characteristic of the short- and long-wave rolls are determined. Under zero gravity, sharp change in the form of rolls occurring with increase in the permeability, which is typical for free thermal convection in layered systems under the ordinary Earth’s conditions, is revealed. The minimum Darcy number below which there is no sharp transition from short- to long-wave convection with increase in the vibration frequency is found.

中文翻译：

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零重力下不同渗透率的两层系统中的平均振动-对流流体流动

研究了在具有不同渗透率的均质多孔区的两层流体系统中振动下产生的滚动对流。该系统在失重状态下执行垂直于垂直温度梯度的高频振荡。对流问题是在平均技术的基础上模拟的。确定了短波和长波辊的多孔区特征的振动频率和渗透率范围。在零重力下，随着渗透率的增加而发生滚动形式的急剧变化，这是普通地球条件下分层系统中自由热对流的典型特征。找到了最小达西数，低于该数时，随着振动频率的增加，短波对长波对流没有急剧转变。