定常源的多尺度混合效应
Multiscale Mixing Efficiencies for Steady Sources
摘要：
被动标量平流的多尺度混合效率被定义为在不同长度尺度上加权方差的抑制。我们认为标量保持时间稳定，但空间不均匀的源，搅拌统计均匀和各向同性不可压缩流，包括充分发展的湍流。混合效率严格限制在Peclet数和具体的定量特征的来源。标度指数的边界在高Peclet数依赖于源的长度尺度的频谱，表明分子扩散起着更重要的定量作用比经典的涡扩散理论所暗示的。
英文摘要：
Multiscale mixing efficiencies for passive scalar advection are defined in terms of the suppression of variance weighted at various length scales. We consider scalars maintained by temporally steady but spatially inhomogeneous sources, stirred by statistically homogeneous and isotropic incompressible flows including fully developed turbulence. The mixing efficiencies are rigorously bounded in terms of the Peclet number and specific quantitative features of the source. Scaling exponents for the bounds at high Peclet number depend on the spectrum of length scales in the source, indicating that molecular diffusion plays a more important quantitative role than that implied by classical eddy diffusion theories.
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