Başağaoğlu H, Meakin P, Succi S
Idaho National Laboratory, P.O. Box 1625, MS 2025, Idaho Falls, Idaho 83415, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Oct;72(4 Pt 2):046705. doi: 10.1103/PhysRevE.72.046705. Epub 2005 Oct 4.
The onset of nonlinear flow was analyzed in three-dimensional random, porous granular systems with 60% porosity using a lattice-Boltzmann model. Quantitative analysis was based on participation numbers built on local kinetic energies and energy dissipation rates computed via nonequilibrium kinetic (viscous stress) tensors. In contrast to the kinetic energy participation number, which characterizes the onset of nonlinearity in terms of a transition from a locally concentrated to a dispersed distribution of kinetic energy densities, the nonequilibrium kinetic tensor participation number characterizes the onset of nonlinearity in terms of a transition from a dispersed to a locally concentrated distribution of energy dissipation densities as the flow rate increases. The transition characterized by the nonequilibrium kinetic tensor participation number occurred over a nearly equal or a narrower range of Reynolds numbers when compared to the transition characterized by the kinetic energy participation number.
使用格子玻尔兹曼模型，对孔隙率为60%的三维随机多孔颗粒系统中的非线性流动起始进行了分析。定量分析基于通过非平衡动力学（粘性应力）张量计算得到的局部动能和能量耗散率构建的参与数。与动能参与数不同，动能参与数是根据动能密度从局部集中分布到分散分布的转变来表征非线性的起始，而非平衡动力学张量参与数是根据随着流速增加，能量耗散密度从分散分布到局部集中分布的转变来表征非线性的起始。与由动能参与数表征的转变相比，由非平衡动力学张量参与数表征的转变发生在几乎相等或更窄的雷诺数范围内。
