论文标题

在椭圆形统计模型的熵属性上,PRANDTL编号低于2/3

On the entropic property of the Ellipsoidal Statistical model with the Prandtl number below 2/3

论文作者

Takata, Shigeru, Hattori, Masanari, Miyauchi, Takumu

论文摘要

讨论了椭圆形统计模型的熵特性,PRANDTL编号PR低于2/3。尽管2/3是h定理无条件持有的PR的下限,但表明该定理仍然容纳甚至对于$ \ mathrm {pr} <2/3 $,但规定应力张量的各向异性满足某个标准。该标准的实际耐受性是通过强烈的正常冲击波和COUETTE流动问题来数值评估的。还进行了几个移动的板测试。

Entropic property of the Ellipsoidal Statistical model with the Prandtl number Pr below 2/3 is discussed. Although 2/3 is the lower bound of Pr for the H theorem to hold unconditionally, it is shown that the theorem still holds even for $\mathrm{Pr}<2/3$, provided that anisotropy of stress tensor satisfies a certain criterion. The practical tolerance of that criterion is assessed numerically by the strong normal shock wave and the Couette flow problems. A couple of moving plate tests are also conducted.

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