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Simulation of dense gas-particle flow using a USM-θ model, combined with a frictional stress model

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Abstract

A unified second-order-moment (USM) two-phase turbulence model together with a kinetic theory of inter-particle collision (USM-θ), and combined with a frictional stress model, was used to simulate dense gas-particle flows in a downer reactor. The interaction between gas and particle turbulence is simulated by a transport equation of two-phase velocity correlation. The simulation results are in good agreement with experimental data reported by Wang et al. The typical dense ring of particles in the near-wall region was observed. It is found that the frictional stress affects the particle fluctuation energy dissipation, leading to the decrease of the particle pseudo-temperature. Because particles are not dense enough in the center region, the effect of inter-particle collision on particle fluctuation velocity, gas-particle velocity correlation, particle collision frequency, particle shear viscosity and particle effective thermal conductivity are not obvious.

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Abbreviations

D :

Diffusion term

e :

Coefficient of restitution particles

e eff :

Effective coefficient of restitution

et:

Tangential coefficient of restitution

f :

Frequency

g :

Gravitational force

g 0 :

Radial distribution function

k :

Kinetic energy

G :

Production term

P :

Pressure

R :

Correlation term

t :

Time

V,v :

Velocity

α :

Volume fraction

β :

Drag coefficient

δ :

Kronic-Delta unit tensor

ε :

Dissipation term

θ :

Particle temperature

μ :

Dynamic viscosity

ν :

Kinematic viscosity

Π:

Pressure-strain term

ρ :

Density

τ :

Stress tensor

i,j,k,l :

Coordinates directions

coll:

Collision

g :

Gas

p:

Particle

r :

Relaxation

max:

Maximum

min:

Minimum

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Acknowledgements

This study was sponsored by the Projects of National Natural Science Foundation of China under the Grants nos: 50606026 and 50736006.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Tsinghua University, Beijing, China

    Lixing Zhou & Yang Liu

  2. School of Aerospace Engineering, Taizhou University, Taizhou, Zhejiang, China

    Yang Liu

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  1. Lixing Zhou
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Zhou, L., Liu, Y. Simulation of dense gas-particle flow using a USM-θ model, combined with a frictional stress model. Comp. Part. Mech. 10, 1171–1180 (2023). https://doi.org/10.1007/s40571-023-00554-5

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  • DOI: https://doi.org/10.1007/s40571-023-00554-5

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