Lagrangian History Direct Interaction Equations for Isotropic Turbulent Mixing under a Second‐Order Chemical Reaction
Lagrangian History Direct Interaction Equations for Isotropic Turbulent Mixing under a Second‐Order Chemical Reaction
复制标题
二阶化学反应下各向同性湍流混合的拉格朗日历史直接相互作用方程
DOI：
10.1063/1.1691822
复制
发表时间：
1968
影响因子：
4.6
通讯作者：
E. O'brien
中科院分区：
文献类型：
--
作者：
E. O'brien
将拉格朗日历史直接相互作用近似应用于二阶化学反应的各向同性湍流混合，给出了得到的闭方程组，并对它们进行了桥接。结果表明，在随机分布二阶反应的极限下，方程简化为直接相互作用的方程。还证明了近似保留了恰当方程的一个重要性质；即在没有分子扩散的情况下，浓度场单点统计函数的衰减与湍流无关。
The Lagrangian history direct interaction approximation is applied to isotropic turbulent mixing of a second‐order chemical reaction, the resulting closed sets of equations are presented, and an a‐bridgement of them is carried out. It is shown that in the limit of a stochastically distributed second‐order reaction the equations reduce to those of direct interaction. It is also demonstrated that the approximation preserves an important property of the exact equations; namely, that in the absence of molecular diffusion, the decay of single point statistical functions of the concentration field is independent of the turbulence.