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Effect of empirical coefficients on simulation in two-scale second-order moment particle-phase turbulence model

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Abstract

A two-scale second-order moment two-phase turbulence model accounting for inter-particle collision is developed, based on the concept of particle large-scale fluctuation due to turbulence and particle small-scale fluctuation due to collision. The proposed model is used to simulate gas-particle downer reactor flows. The computational results of both particle volume fraction and mean velocity are in agreement with the experimental results. After analyzing effects of empirical coefficient on prediction results, we can come to a conclusion that, inside the limit range of empirical coefficient, the predictions do not reveal a large sensitivity to the empirical coefficient in the downer reactor, but a relatively great change of the constants has important effect on the prediction.

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Abbreviations

α p :

particle volume fraction

β:

drag coefficient

U :

mean velocity(m/s)

u, v:

fluctuating velocity (m/s)

uu, vv:

Reynolds stress or fluctuation velocity correlation(m2/s2)

e:

restitution coefficient

d :

particle diameter(m)

k :

kinetic energy(m2/s2)

ɛ:

kinetic energy dissipation rate(m2/s3)

1:

large-scale fluctuation

2:

small-scale fluctuation

p:

particle

f:

gas

References

  1. Hanjalic K, Launder B E, Schiestel R. Multiple-time-scale concepts in turbulent transport modeling[M]. In: Bradbur L J S, et al (eds). Turbulent Shear Flows 2, Springer-Verlag, New York, 1980, 36–49.

    Google Scholar 

  2. Kim S W, Chen C P. A multiple-time-scale turbulence model based on variable partitioning of the time turbulent kinetic energy spectrum[J]. Numerical Heat Transfer, Part B, 1989, 16(2):193–211.

    Google Scholar 

  3. Cai Shutang, Liu Yulu. Turbulence Theory[M]. Shanghai Jiaotong University Press, Shanghai, 1993 (in Chinese).

    Google Scholar 

  4. Yamamoto M. Investigation of multiple-time-scale Reynolds stress model in homogeneous anisotropic turbulence[J]. Int J Heat Fluid Flow, 1995, 16(5):417–428.

    Article  Google Scholar 

  5. Zhou Lihang. Dynamics of Multiphase Turbulent Reacting Fluid Flows[M]. National Defence Industry Press, Beijing, 2002 (in Chinese).

    Google Scholar 

  6. Yu Y, Zhou L X. A second-order moment two-phase turbulence model for dense gas-particle flows[C/CD]. In: Proc 5th Inter Conf on Multiphase Flow. ICMF’04. Tokyo Institute of Technology, Tokyo, 2004, Paper 161.

    Google Scholar 

  7. Wang Y, Bai D R, Jin Y. Hydrodynamics of cocurrent downflow circulating fluidized bed (CDCFB)[J]. Powder Technology, 1992, 70(3):271–275.

    Article  Google Scholar 

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Authors

Corresponding author

Correspondence to Hu Chun-bo  (胡春波).

Additional information

Communicated by LIU Yu-lu

Project supported by China Post-Doctoral Science Foundation(No.2004036239)

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Hu, Cb., Zeng, Zx. Effect of empirical coefficients on simulation in two-scale second-order moment particle-phase turbulence model. Appl Math Mech 27, 1491–1497 (2006). https://doi.org/10.1007/s10483-006-1106-1

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  • DOI: https://doi.org/10.1007/s10483-006-1106-1

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

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