In this study, a constitutive model that is applicable to both dilute and dense regimes for simulating gas-particle flows with polydisperse particles is proposed. In dilute regime, solid stress is closed by kinetic theory of granular flow (KTGF). In dense regime, solid stress is closed by the η(I) rheology. The transition from dilute to dense regimes is realized smoothly by the dynamic blending function χ, which is a function of the inertial number of mixture I. The dynamic blending function χ is also used to link the solid–solid drag force at different regimes. This new model was validated with the experimental data of polydisperse bubbling fluidized bed of . When compared with the conventional baseline model, this new model improves the transition from dilute to dense regimes and the predictions in both density and size segregations.

中文翻译：

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稀和稠状态二元混合物气体流化的惯性数调节本构模型


在这项研究中，提出了一种适用于稀和稠密状态的本构模型，用于模拟多分散颗粒的气体颗粒流。在稀释状态下，固体应力由颗粒流动力学理论 (KTGF) 封闭。在致密状态下，固体应力由 η(I) 流变学封闭。从稀态到稠态的过渡是通过动态混合函数 χ 平稳实现的，该函数是混合物惯性数 I 的函数。动态混合函数 χ 还用于链接不同态下的固-固曳力。利用多分散鼓泡流化床的实验数据验证了这一新模型。与传统的基线模型相比，这种新模型改进了从稀态到稠态的转变以及密度和尺寸偏析的预测。