Skip to main content
SpringerLink
Log in

Comparison between finite volume and lattice-Boltzmann method simulations of gas-fluidised beds: bed expansion and particle–fluid interaction force

  • Published:
Computational Particle Mechanics Aims and scope Submit manuscript

Abstract

Lattice-Boltzmann method (LBM) simulations of a gas-fluidised bed have been performed. In contrast to the current state-of-the-art coupled computational fluid dynamics–discrete element method (CFD–DEM) simulations, the LBM does not require a closure relationship for the particle–fluid interaction force. Instead, the particle–fluid interaction can be calculated directly from the detailed flow profile around the particles. Here a comparison is performed between CFD–DEM and LBM simulations of a small fluidised bed. Simulations are performed for two different values of the superficial gas velocity and it is found that the LBM predicts a larger bed expansion for both flowrates. Furthermore the particle–fluid interaction force obtained for LBM simulations is compared to the force which would be predicted by a CFD–DEM model under the same conditions. On average the force predicted by the CFD–DEM closure relationship is found to be significantly smaller than the force obtained from the LBM.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. Müller C, Davidson J, Dennis J, Fennell P, Gladden L, Hayhurst A, Mantle M, Rees A, Sederman A (2007) Rise velocities of bubbles and slugs in gas-fluidised beds: ultra-fast magnetic resonance imaging. Chem Eng Sci 62(12):82–93

    Article  Google Scholar 

  2. Müller C, Holland D, Sederman A, Mantle M, Gladden L, Davidson J (2008) Magnetic resonance imaging of fluidized beds. Powder Technol 183(1):53–62

    Article  Google Scholar 

  3. Tsuji Y, Kawaguchi T, Tanaka T (1993) Discrete particle simulation of 2-dimensional fluidized beds. Powder Technol 77:79–87

    Article  Google Scholar 

  4. Müller C, Holland D, Sederman A, Scott S, Dennis J, Gladden L (2008) Granular temperature: comparison of magnetic resonance measurements with discrete element model simulations. Powder Technol 184:241–253

    Article  Google Scholar 

  5. Müller C, Scott S, Holland D, Clarke B, Sederman A, Dennis J, Gladden L (2009) Validation of a discrete element model using magnetic resonance measurement. Particuology 7:297–306

    Article  Google Scholar 

  6. Beetstra R, van der Hoef MA, Kuipers JAM (2007) Drag force from lattice Boltzmann simulations of intermediate Reynolds number past mono and bidisperse array of spheres. AIChE J 53:489–501

    Article  Google Scholar 

  7. Hill R, Koch D, Ladd A (2001) The first effects of fluid inertia on flows in ordered and random arrays of spheres. J Fluid Mech 448:213–241

    MathSciNet  MATH  Google Scholar 

  8. Hill R, Koch D, Ladd A (2001) Moderate-Reynolds-number flows in ordered and random arrays of spheres. J Fluid Mech 448:243–278

    MathSciNet  MATH  Google Scholar 

  9. Kriebitzsch SHL, van der Hoef MA, Kuipers JAM (2013) Fully resolved simulation of a gas-fluidized bed: a critical test of dem models. Chem Eng Sci 91:1–4

    Article  Google Scholar 

  10. Wang L, Zhou G, Wang X, Xiong Q, Ge W (2010) Direct numerical simulation of particle-fluid systems by combining time-driven hard-sphere model and lattice Boltzmann method. Particology 8:379–382

    Article  Google Scholar 

  11. Cundall PA, Strack ODL (1979) A discrete numerical model for granular assemblies. Geotechnique 29:47–65

    Article  Google Scholar 

  12. Anderson TB, Jackson R (1967) A fluid mechanical description of fluidized beds. Ind Eng Chem Fund 6:527–539

    Article  Google Scholar 

  13. Patankar S (1980) Numerical heat transfer and fluid flow. Taylor and Francis, London

    MATH  Google Scholar 

  14. Third JR, Scott DM, Müller CR (2011) Axial transport within bidisperse granular media in horizontal rotating cylinders. Phys Rev E 84:041301

    Article  Google Scholar 

  15. He X, Luo LS (1997) Lattice Boltzmann model for the incompressible Navier-Stokes equation. J Stat Phys 88:927–944

    Article  MathSciNet  MATH  Google Scholar 

  16. Nobel DR, Torczynski JR (1998) A lattice-Boltzmann method for partially saturated computational cells. Int J Mod Phys C 9:1189–1201

    Article  Google Scholar 

  17. Bhatnagar PL, Gross EP, Krook M (1954) A model for collision processes in gases. I: small amplitude processes in charged and neutral one-component system. Phys Rev 94:511–525

    Article  MATH  Google Scholar 

  18. Ladd AJC (1994a) Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part. 1. Theoretical foundation. J Fluid Mech 271:285–309

    Article  MathSciNet  MATH  Google Scholar 

  19. Zhou Q, He X (1997) On pressure and velocity boundary conditions for the lattice Boltzmann BGK model. Phys Fluids 9:1591–1598

  20. Hasimoto H (1959) On the periodic fundamental solutions of the stokes equations and their application to viscous flow past a cubic array of spheres. J Fluid Mech 5:317–328

    Article  MathSciNet  MATH  Google Scholar 

  21. Ergun S (1952) Fluid flow through packed columns. Chem Eng Prog 48:89–94

    Google Scholar 

  22. Goldschmidt MJV, Beetstra R, Kuipers JAM (2004) Hydrodynamic modelling of dense gas-fluidised beds: comparison and validation of 3d discrete particle and continuum models. Powder Technol 142:23–47

    Article  Google Scholar 

Download references

Acknowledgments

Y. Chen is grateful to the China Scholarship Council for partial financial support of this work. In addition, we thank the Swiss National Science Foundation (SNSF, Grant number 200021_153290/1) for partially supporting this work.

Author information

Authors and Affiliations

  1. Department of Mechanical and Process Engineering, Institute of Energy Technology, ETH Zürich, Leonhardstrasse 21, 8092, Zürich, Switzerland

    J. R. Third, Y. Chen & C. R. Müller

Authors
  1. J. R. Third
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Y. Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. C. R. Müller
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to C. R. Müller.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Third, J.R., Chen, Y. & Müller, C.R. Comparison between finite volume and lattice-Boltzmann method simulations of gas-fluidised beds: bed expansion and particle–fluid interaction force. Comp. Part. Mech. 3, 373–381 (2016). https://doi.org/10.1007/s40571-015-0086-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40571-015-0086-z

Keywords

Search

Navigation