A bubbling fluidization model using kinetic theory of granular flow

Abstract

Detailed knowledge of solids circulation, bubble motion, and frequencies of porosity oscillations is needed for a better understanding of tube erosion in fluidized bed combustors. A predictive two-phase flow model was derived starting with the Boltzmann equation for velocity distribution of particles. The model is a generalization of the Navier-Stokes equations of the type proposed by R. Jackson, except that the solids viscosities and stresses are computed by simultaneously solving a fluctuating energy equation for the particulate phase. The model predictions agree with time-averaged and instantaneous porosities measured in two-dimensional fluidized beds. Observed flow patterns and bubbles were also predicted.

On the dynamics of magma mixing by reintrusion: implications for pluton assembly processes

“…The boundary condition for the tangential component of the solid phase velocity is zero on the upper and left-hand boundary. This is equivalent to assuming that the surface roughness scale is greater than the diameter of the crystal, e ectively creating a trapping condition (Ding and Gidaspow, 1990).…”

Eulerian–Eulerian simulation of dense solid–gas cylindrical fluidized beds: Impact of wall boundary condition and drag model on fluidization

“…By representing both the gas and the solid phases as inter-penetrating continua, the TFM is computationally efficient but requires accurate closure relationships for particle-particle, particle-gas and particle-wall interactions to achieve modeling fidelity [9]. While the particle-particle and particle-gas interactions have been investigated with considerable effort in literature [10][11][12][13][14], the uncertainty regarding the modeling of particlewall interactions using the Eulerian approach is the central focus of this study, with additional investigation into the suitability of drag models.…”

Modelling of solar thermochemical reaction systems

“…A notable line of work stems from Gidaspow and co-workers (Ding and Gidaspow, 1990) where the kinetic theory of gasses was adapted to granular flows to statistically describe such systems resulting in effective fluid and solid phase hydrodynamic equations as in Eq. (6).…”

“…Detailed coverage of the body force terms and shear stresses appearing in Eq. (6) for the solids and gasses in dense fluidised systems are beyond the scope of this review as most do not appear explicitly in the STRS literature; a more complete description of the theory and associated expressions can be found in (Ding and Gidaspow, 1990;Gidaspow and Jiradilok, 2009). Their strategy provides a very promising route that appears in the STRS literature recently in the paper by Groehn et al (2016).…”