In this study we examine the large Péclet number, Pe, limit of a concentration boundary layer in Couette flow. The boundary layer has a thickness of order Pe. The asymptotic concentration is asymptotically obtained as an integral solution up to order Pe using the Fourier sine transform. The asymptotic solution is found to be in good agreement with the full numerical solution for large Péclet numbers. Further, the effective diffusivity obtained from the asymptotic solution is found to be in good agreement with the effective diffusivity obtained from the full numerical solution for large Péclet numbers.

中文翻译：

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库埃特流中的质量传递


在这项研究中，我们研究了库埃特流中浓度边界层的大佩克莱特数 Pe 极限。边界层的厚度为 Pe 量级。使用傅立叶正弦变换，渐进浓度可作为高达 Pe 阶的积分解来获得。发现渐近解与大佩克莱特数的完全数值解非常一致。此外，发现从渐近解获得的有效扩散率与从大佩克莱特数的完全数值解获得的有效扩散率非常一致。