An analytical solution for probability density function of stretching rate in homogeneous isotropic turbulence

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• 作者：Tianshu Liu ^{tianshu.liu@wmich.edu}
• 关键词：Stretching rate ; Probability density function ; homogeneous isotropic turbulence ; Reynolds number effect
• 刊名：European Journal of Mechanics - B/Fluids
• 出版年：2017
• 出版时间：March-April 2017
• 年：2017
• 卷：62
• 期：Complete
• 页码：42-50
• 全文大小：1673 K
• 卷排序：62

文摘

A closed-form expression is derived for the probability density function (pdf) of the stretching rate in homogeneous isotropic turbulence. The pdf has the Reynolds-number-independent Gaussian part and Reynolds-number-dependent non-Gaussian part. The physical meanings of the relevant parameters are discussed, and particularly the Reynolds-number effects on the pdf and statistical quantities are examined.