Oscillatory rarefied gas flow inside rectangular cavities
Oscillatory rarefied gas flow inside rectangular cavities
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DOI：
10.1017/jfm.2014.183
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发表时间：
2014-04
影响因子：
3.7
通讯作者：
Lei Wu;J. Reese;Yonghao Zhang
中科院分区：
文献类型：
--
作者：
Lei Wu;J. Reese;Yonghao Zhang
利用线性化的Boltzmann方程，研究了任意振荡频率下稀薄气体在盖子驱动下的二维振荡空腔流动。给出了高振荡频率下的解析解，并给出了较宽范围内气体稀薄的详细数值结果。研究了腔体长宽比和振动频率对动盖阻尼力的影响。令人惊讶的是，在一定的频率范围内，阻尼比振荡Couette流中的要小。这种衰减是由于稀薄气体的反共振作用造成的。建立了反谐振频率与长宽比之间的比例律，通过选择合适的腔体几何形状，实现了对阻尼的控制。
Abstract Two-dimensional oscillatory lid-driven cavity flow of a rarefied gas at arbitrary oscillation frequency is investigated using the linearized Boltzmann equation. An analytical solution at high oscillation frequencies is obtained, and detailed numerical results for a wide range of gas rarefaction are presented. The influence of both the aspect ratio of the cavity and the oscillating frequency on the damping force exerted on the moving lid is studied. Surprisingly, it is found that, over a certain frequency range, the damping is smaller than that in an oscillatory Couette flow. This reduction in damping is due to the anti-resonance of the rarefied gas. A scaling law between the anti-resonant frequency and the aspect ratio is established, which would enable the control of the damping through choosing an appropriate cavity geometry.