Diffusion-Advection in Cellular Flows with Large Peclet Numbers
Diffusion-Advection in Cellular Flows with Large Peclet Numbers
复制标题
大佩克莱特数细胞流中的扩散-平流
DOI：
10.1007/s00205-003-0256-7
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发表时间：
2003
影响因子：
2.5
通讯作者：
S. Heinze
中科院分区：
文献类型：
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作者：
S. Heinze
对于不可压缩流体中的周期性二维细胞流，我们提供了明确的有效扩散率的上限和下限估计，这些有效扩散率对于大的Peclet数具有正确的标度行为。我们证明了所有允许的标度律都可以发生。的界限证明，有没有残留扩散的无限Peclet数极限的保持器连续流，回答了一个问题所提出的Kozlov。
For periodic two-dimensional cellular flows in incompressible fluids we provide explicit upper and lower estimates of the effective diffusivity which have the correct scaling behavior for large Peclet numbers. We demonstrate that all allowed scaling laws can occur. The bounds prove that there is no residual diffusion in the infinite Peclet-number limit for Holder continuous flows, answering a problem posed by Kozlov.