An hypothesis concerning turbulent diffusion
An hypothesis concerning turbulent diffusion
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关于湍流扩散的假设
DOI：
10.1139/p60-072
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发表时间：
1960
影响因子：
1.2
通讯作者：
R. Bourret
中科院分区：
文献类型：
--
作者：
R. Bourret
结果表明，湍流扩散的Goldstein方程隐含着依赖于浓度梯度历史的扩散流。对Goldstein方程所基于的随机模型的分析表明，用于加权历史的遗传函数是速度的系综自相关函数。启发式的论证和对不可逆热力学过程理论的呼吁导致了湍流扩散的积分-微分方程式的假设，该方程涉及扩散粒子的速度自相关。
It is shown that the Goldstein equation for turbulent diffusion implies diffusion currents dependent upon the history of the concentration gradient. An analysis of the stochastic model upon which the Goldstein equation is based reveals that the hereditary function, by which the history is weighted, is the ensemble autocorrelation function of velocity. Heuristic arguments and an appeal to the theory of irreversible thermodynamic processes lead to the postulation of an integro-differential equation for turbulent diffusion involving the velocity autocorrelations of the diffusate particles.