可压缩流中Kelvin-Helmholtz不稳定性的非平衡和形态学特征
Nonequilibrium and morphological characterizations of Kelvin-Helmholtz instability in compressible flows
摘要:
通过一个有效的离散Boltzmann模型研究了粘性和热传导对Kelvin-Helmholtz不稳定性(KHI)的发生和发展的影响。从技术上讲,提出了两种定量分析和理解构型和动力学过程的有效途径。一种是通过跟踪热力学非平衡测度的分布和演化来确定混合层的厚度;另一种是通过形态泛函的斜率来估计KHI的增长率。物理上,混合层宽度、TNE强度和边界长度的时间历程具有高度的相关性,并同时达到极大值。粘性效应是双重的,稳定KHI,并增强局部和全局TNE强度。与粘性的单调抑制作用相反,热传导效应先抑制后增强。分析并提出了物理原因。
英文摘要:
We investigate the effects of viscosity and heat conduction on the onset and growth of Kelvin-Helmholtz instability (KHI) via an efficient discrete Boltzmann model. Technically, two effective approaches are presented to quantitatively analyze and understand the configurations and kinetic processes. One is to determine the thickness of mixing layers through tracking the distributions and evolutions of the thermodynamic nonequilibrium (TNE) measures; the other is to evaluate the growth rate of KHI from the slopes of morphological functionals. Physically, it is found that the time histories of width of mixing layer, TNE intensity, and boundary length show high correlation and attain their maxima simultaneously. The viscosity effects are twofold, stabilize the KHI, and enhance both the local and global TNE intensities. Contrary to the monotonically inhibiting effects of viscosity, the heat conduction effects firstly refrain then enhance the evolution afterwards. The physical reasons are analyzed and presented.
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