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Effects of Particles Collision on Separating Gas–Particle Two-Phase Turbulent Flows

  • Research Article - Mechanical Engineering
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A second-order moment two-phase turbulence model incorporating a particle temperature model based on the kinetic theory of granular flow is applied to investigate the effects of particles collision on separating gas–particle two-phase turbulent flows. In this model, the anisotropy of gas and solid phase two-phase Reynolds stresses and their correlation of velocity fluctuation are fully considered using a presented Reynolds stress model and the transport equation of two-phase stress correlation. Experimental measurements (Xu and Zhou in ASME-FED Summer Meeting, San Francisco, Paper FEDSM99-7909, 1999) are used to validate this model, source codes and prediction results. It showed that the particles collision leads to decrease in the intensity of gas and particle vortices and takes a larger effect on particle turbulent fluctuations. The time-averaged velocity, the fluctuation velocity of gas and particle phase considering particles collision are in good agreement with experimental measurements. Particle kinetic energy is always smaller than gas phase due to energy dissipation from particle collision. Moreover, axial–axial and radial–radial fluctuation velocity correlations have stronger anisotropic behaviors.

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D :

Diffusion term

G :

Source term

k :

Kinetic energy

P :

Production term

p :


R :

Correlation term

t :


V, v :


α :

Volume fraction

δ :

Kronic-Delta unit tensor

\({\varepsilon}\) :

Dissipation term

μ :

Dynamic viscosity

ν :

Kinematic viscosity


Pressure–strain term

ρ :


τ :


ijkl :

Coordinates directions


Gas and particle






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Correspondence to Xiangli Li.

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Lv, S., Yang, W., Li, X. et al. Effects of Particles Collision on Separating Gas–Particle Two-Phase Turbulent Flows. Arab J Sci Eng 39, 2353–2361 (2014).

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