Particle Technology and Fluidization

A second-order moment method applied to gas–solid risers

  1. Juhui Chen1,
  2. Shuyan Wang2,
  3. Dan Sun1,
  4. Huilin Lu1,
  5. Dimitri Gidaspow3,
  6. Hongbin Yu1,*

Article first published online: 12 MAR 2012

DOI: 10.1002/aic.13754

Issue

AIChE Journal

AIChE Journal

Volume 58, Issue 12, pages 3653–3675, December 2012

Additional Information

How to Cite

Chen, J., Wang, S., Sun, D., Lu, H., Gidaspow, D. and Yu, H. (2012), A second-order moment method applied to gas–solid risers. AIChE J., 58: 3653–3675. doi: 10.1002/aic.13754

Author Information

  1. 1

    School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China

  2. 2

    School of Petroleum Engineering, Northeast Petroleum University, Daqing 163318, China

  3. 3

    Dept. of Chemical and Biological Engineering, Illinois Institute of Technology, Chicago, IL 60616

*School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China

Publication History

  1. Issue published online: 8 NOV 2012
  2. Article first published online: 12 MAR 2012
  3. Accepted manuscript online: 24 JAN 2012 04:41PM EST
  4. Manuscript Revised: 20 JAN 2012
  5. Manuscript Received: 5 APR 2011

Funded by

  • Natural Science Foundation of China. Grant Numbers: 51076040, 51176042

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Keywords:

  • second-order moments;
  • computational fluid dynamics;
  • kinetic theory of granular flow;
  • Reynolds stresses;
  • fluidization

Abstract

Second-order moment method of particles is proposed on the basis of the kinetic theory of granular flow. Closure equations for the third-order velocity moments are presented to account for the increase of the probability of collisions of particles on the basis of the elementary kinetic theory and order of magnitude analysis. The boundary conditions for the set of equations describing flow of particles are proposed with the consideration of the momentum exchange by collisions between the wall and the particles. The distributions of velocity, concentration and moments of particles are predicted. Simulated results are compared with experimental data measured by Tartan and Gidaspow and Bhusarapu et al. in risers, and Tsuji et al. in a vertical pipe. The effects of the closure equations for the third-order velocity moments and the fluid-particle velocity correlation tensor on flow behavior of particles are analyzed. © 2012 American Institute of Chemical Engineers AIChE J, 2012

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