Analysis of molecular mixing and chemical reaction in a vortex pair

Analysis of molecular mixing and chemical reaction in a vortex pair
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涡对中分子混合和化学反应的分析

DOI:
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发表时间:
1990
期刊:
影响因子:
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通讯作者:
J. P. Aguirre
J. P. Aguirre
中科院分区:
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文献类型:
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作者:
B. Cetegen;J. P. Aguirre

文献摘要

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本文讨论了二维涡旋场中分子混合和无限快化学反应的解析/数值研究。给出了无量纲涡旋强度,Γ/2πν= 10-50,施密特数,ν/D= 1-100和时间参数范围内标量浓度场的计算及其混合统计量。分子混合“混合度”的测量,定义为空间浓度场与混合良好值的方差,表明涡旋对的存在导致的混合度的增加与涡旋对的强度和涡旋对开始以来的时间成线性比例。
This paper concerns an analytical/numerical study of molecular mixing and infinitely fast chemical reactions in the field of a two‐dimensional vortex pair. Calculations of scalar concentration fields and its mixing statistics are presented for a range of nondimensional vortex strengths, Γ/2πν=10–50, Schmidt numbers, ν/D=1–100, and a time parameter. A measure of molecular mixing ‘‘mixedness,’’ defined as the variance of the spatial concentration field from its well‐mixed value, shows that the augmentation of mixedness resulting from the presence of vortex pair is linearly proportional to the vortex pair strength and time elapse since the inception of the vortex pair.