Mohammad Reza Haghgoo, Donald J. Bergstrom, Raymond J. Spiteri, "Effect of particle stress tensor in simulations of dense gas–particle flows in fluidized beds", Particuology, Volume 38, 2018, Pages 31-43, ISSN 1674-2001, https://doi.org/10.1016/j.partic.2017.04.010.
Abstract: A two-fluid model based on the kinetic theory of granular flow for the rapid-flow regime and the Coulomb friction law for the quasi-static regime is applied to predict the hydrodynamics of dense gas–particle flow in a three-dimensional fluidized bed. Two different models for the particle stress tensor that use different constitutive equations in the elastic-inertial regime are examined to assess their ability to predict bed dynamics. To understand how particle stress models affect structural features of the flow, a quantitative analysis is performed on some important aspects of the mechanics of bubbling beds that have received relatively little attention in the literature. Accordingly, different flow regimes are identified in the context of fluidized beds through the dimensionless inertial number, and the main characteristics of each regime are discussed. In addition, how the particle stress tensor manifests itself in the bubble characteristics, natural frequency of the bed, and particle Reynolds stress are investigated, all of which help to better understand the complex dynamics of the fluidized bed. The numerical results are validated against published experimental data and demonstrate the significant role of the stress tensor in the elastic-inertial regime.
Keywords: Two-fluid model; Inertial number; Fluidized bed; Flow regime; Particle Reynolds stress; MFIX