流体可压缩性对Rayleigh-Taylor不稳定性影响机理分析

在等熵方程为压力是密度的任意单值函数形式情况下 ,分析了R T(Rayleigh Taylor)不稳定性中流体可压缩性的作用。在没有边界效应的条件下所作的分析表明 :在重力场作用下流体可压缩性形成的密度分布是R T不稳定性中的致稳因素 ,而扰动流体的膨胀 (收缩 )效应助长R T不稳定性的发展 ;上层重流体的可压缩性是稳定因素 ,而下层轻流体的可压缩性是失稳因素。从扰动发展驱动力和扰动带动的等效质量两个方面对该结论的物理机制进行了分析。

The role of fluid compressibility in Rayleigh-Taylor instability

The role of fluid compressibility in Rayleigh Taylor instability is studied when the state equation of compressible fluid is an arbitrary function of density and pressure. The analyses without boundary effect shows that the density distributing induced by the gravity is a stable factor, while the fluid expanding and compressing effect is an instable factor. The compressibility of upper heavier fluid is a stable factor, while the compressibility of lower lighter fluid is an instable factor. The physical mechanism of this conclusion is explained by the force which driving perturbation development and the equivalent mass driven by perturbation.