论文标题

凝血的湍流增强:涡流扩散在速度中的作用

Turbulence enhancement of coagulation: the role of eddy diffusion in velocity

论文作者

Flandoli, Franco, Huang, Ruojun, Papini, Andrea

论文摘要

给出了在湍流中的Smoluchowski类型的凝结模型,首先是通过随机模型表示,然后以适当的缩放限制为确定性模型,作为确定性模型,具有增强的速度分量扩散。通过数值模拟获得了湍流速度场的平均强度和凝血增强之间的精确联系,而平均速度差异的公式与气体运动模型一致,通过一种新方法证明。

A Smoluchowski type model of coagulation in a turbulent fluid is given, first expressed by means of a stochastic model, then in a suitable scaling limit as a deterministic model with enhanced diffusion in the velocity component. A precise link between mean intensity of the turbulent velocity field and coagulation enhancement is obtained by numerical simulations, and a formula for the mean velocity difference, in agreement with the gas-kinetic model, is proved by a new method.

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