Abstract

Nonlinear drag force has been a research frontier in complex gas-solid systems. The literature has reported that the commonly-used drag correlations often overestimate drag force and, thus, cause unrealistic homogeneous flow structures in gas-solid fluidized beds of fine particles. For solving this problem, the structure-dependent drag model, derived from energy-minimization multi-scale approach, is used in discrete simulations of fluid catalytic cracking particles in a small riser. The gas phase is dealt with by computational fluid dynamics. Particles are considered as a discrete phase and described by Newton’s second law of motion. Gas-particle phases are coupled according to Newton’s third law of motion. Simulations show that use of structure-dependent drag model results in drag reduction, the effect of which is not so apparent as that in simulations of the two fluid model. The particle clustering tendency, however, is more distinct and leads to more heterogeneous flow structures in riser flow with a much greater amplitude of outlet solid flux fluctuations. Moreover, the behaviors of particle and gas back-mixing can be captured in the present simulations, which was supported by past simulations and experimental data. The simulation time resolution is discussed. The spring constant can be artificially brought down for safe setting of larger time step when modelling the collision process between fine particles with a higher calculation load. To appropriately mimic the continuous decay of van der Waals force may, however, need a much smaller time step. There is also an obvious effect of space resolution on simulations. When using a grid size smaller than 3 times the particle diameter, the simulated clusters turn extraordinarily large, and the effect of gas-solid back-mixing turns insignificant.

Highlights

  • Nowadays, more and more industrial processes are operated in gas-solid fluidized beds, which are known to be complex systems and feature remarkable nonlinear and multi-scale flow structures [1]

  • The structure-dependent drag model is used, which was derived from EMM

  • The structure-dependent drag model is used, which was derived from energy-minimization multi-scale (EMMS)

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Summary

Introduction

More and more industrial processes are operated in gas-solid fluidized beds, which are known to be complex systems and feature remarkable nonlinear and multi-scale flow structures [1]. Insight into these structures has an inevitable relation with the reliable design of fluidized bed reactors. A lot of experimental investigations have been carried out concerning complex phenomena, such as particle entertainment, clustering, and bubble eruption, which are still far from complete. Correlations obtained from experimental investigations and used for reactor designs are largely uncertain. Much attention should be paid to numerical simulation, which is one of the most useful techniques for exploring the underlying dynamics in fluidized beds. How to appropriately calculate gas-solid interactions, mainly drag force, is a critical problem in both models

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