Numerical simulations of gas-liquid-particle flows in three-phase slurry reactors under gravity variation

Document Type : Article

Authors

1 International Doctoral Innovation Centre, University of Nottingham Ningbo China

2 Department of Mechanical and Aeronautical Engineering, Clarkson University, Potsdam, New York, USA

Abstract

Numerical simulations of three-phase gas-liquid-particle flows under 1g and 2g gravitational conditions were performed with an Eulerian-Lagrangian method. In this study, the liquid was treated as continuous phase and modeled by a volume-averaged system of governing equations. Bubbles and particles were modeled as discrete phases using Lagrangian method. Drag, lift, buoyancy, and virtual mass forces were included in the Lagrangian equation. Bubbles were treated as spherical without shape variations. The two-way coupling between bubble-liquid and particle-liquid were included and interactions between bubble-bubble and particle-particle were considered with the hard sphere model. Particle-bubble interactions and bubble coalescences were also included in the analysis. The results under 1g normal gravity condition were compared with the available experimental data in earlier simulation with good agreement. The transient flow characteristics of the three-phase flow under 1g and 2g gravitational condition were studied and the effects of gravity were analyzed. The results show that gravity has magnificent effect on the flow characteristics of three-phase gas-liquid-particle flows in bubble columns. The three-phase velocities under higher gravity are larger than that of the flow under normal gravity. The flow under higher gravity develops fast. Bubbles and bubble volume fraction in the higher gravity flow are smaller.

Keywords

Main Subjects

References

References
1. Fan, L.-S., Gas-Liquid-Solid Fluidization Engineering,
Butterworths, Boston (1989).
2. Delnoij, E., Kuipers, J.A.M., and Swaaij, W.P.M.V.
\Dynamic simulation of gas-solid two-phase
ow: effect
of column aspect ratio on the
ow structure",
Chemical Engineering Science, 52, pp. 3759-3772
(1997a).
3. Delnoij, E., Lammers, F.A., Kuipers, J.A.M., and
Swaaij, W.P.M.V. \Dynamic simulation of dispersed
gas-solid two-phase
ow using a discrete bubble
model", Chemical Engineering Science, 52, pp. 1429-
1458 (1997b).
4. Lain, S., Broder, D., and Sommerfeld, M. \Experimental
and numerical studies of the hydrodynamics in
a bubble column", Chemical Engineering Science, 54,
pp. 4913-4920 (1999).
5. Lain, S., Broder, D., Sommerfeld, M., and Goz,
M.F. \Modelling hydrodynamics and turbulence in a
bubble column using the Euler-Lagrange procedure",
International Journal of Multiphase Flow, 28, pp.
1381-1407 (2002).
6. Lapin, A. and Lubbert, A. \Numerical simulation of
the dynamics of two phase gas-liquid
ows in bubble
columns", Chem. Eng. Sci., 49, pp. 3661-3684 (1994).
7. Besbes, S., Hajem, M.E., Aissia, H.B., Champagne,
J.Y., and Jay, J. \Piv measurements and Eulerian-
Lagrangian simulations of the unsteady gas-liquid

ow in a needle sparger rectangular bubble column",
Chemical Engineering Science, 126, pp. 560-57 (2015).
8. Lau, Y.M., Bai, W., Deen, N.G., and Kuipers,
J.A.M. \Numerical study of bubble break-up in bubbly

ows using a deterministic Euler-Lagrange framework",
Chemical Engineering Science, 108(108), pp.
9-22 (2014).
9. Tyagi, P. and Buwa, V.V. \Euler-Lagrange simulations
of mono- & poly-dispersed gas-liquid
ows in a rectangular
bubble column", Iscre 23 and Apcre 7 (2014).
DOI: 10.13140/RG.2.1.4325.2966
10. Xue, J., Chen, F., Yang, N., and Ge, W. \A
study of the soft-sphere model in Eulerian-Lagrangian
simulation of gas-liquid
ow", International Journal
of Chemical Reactor Engineering, 15(1), 20160064
(2016). (Online) 1542-6580, ISSN (Print) 2194-5748,
DOI: https://doi.org/10.1515/ijcre-2016-0064
11. Xue, J., Chen, F., Yang, N., and Ge, W. \Eulerian-
Lagrangian simulation of bubble coalescence in bubbly

ow using the spring-dashpot model", Chinese Journal
of Chemical Engineering, 25(3), pp. 249-256 (2016).
12. Masterov, M.V., Baltussen, M.W., and Kuipers,
J.A.M. \Numerical simulation of a square bubble
column using detached eddy simulation and Euler-
Lagrange approach", International Journal of Multiphase
Flow, 107, pp. 275-288 (2018).
13. Ahmadi, G. \Overview of computational and analytical
modeling of particle transport and deposition in
turbulent
ows", Scientia Iranica, 1, pp. 1-23 (1994).
14. Nikbakht, A., Abouali, O., and Ahmadi, G. \Nanoparticle
beam focusing in aerodynamic lenses - an
axisymmetric model", Scientia Iranica, 14, pp. 263-
272 (2007).
15. Gidaspow, D., Bahary, M., and Jayaswal, U.K. \Hydrodynamic
models for gas-liquid-solid
uidization.
numerical methods in multiphase
ows", FED 185,
ASME, New York, NY, pp. 117-124 (1994).
X. Zhang and G. Ahmadi/Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 3197{3209 3209
16. Grevskott, S., Sannas, B.H., Dudukovic, M.P., Hjarbo,
K.W., and Svendsen, H.F. \Liquid circulation, bubble
size distributions, and solids movement in two- and
three-phase bubble columns", Chemical Engineering
Science, 51, pp. 1703-1713 (1996).
17. Mitra-Majumdar, D., Farouk, B., and Hah, Y.T.
\Hydrodynamic modeling of three-phase
ows through
a vertical column", Chemical Engineering Science, pp.
4485-4497 (1997).
18. Wu, Y. and Gidaspow, D. \Hydrodynamic simulation
of methanol synthesis in gas-liquid slurry bubble column
reactors", Chemical Engineering Science, 55, pp.
573-587 (2000).
19. Padial, N.T., VanderHeyden, W.B., Rauenzahn, R.M.,
and Arbo, S.L. \Three-dimensional simulation of a
three-phase draft-tube bubble column", Chemical Engineering
Science, 55, pp. 3261-3273 (2000).
20. Gamwo, I.K., Halow, J.S., Gidaspow, D., and Mosto ,
R. \CFD models for methanol synthesis three-phase
reactors: Reactor optimization", Chemical Engineering
Science, 93, pp. 103-112 (2003).
21. Li, W. and Zhong, W. \CFD simulation of hydrodynamics
of gas-liquid-solid three-phase bubble column",
Powder Technology, 286, pp. 766-788 (2015).
22. Bogner, S., Harting, J., and Rude, U. \Direct simulation
of liquid-gas-solid
ow with a free surface
lattice Boltzmann method", International Journal of
Computational Fluid Dynamics, 31(10), pp. 463-475
(2018).
23. Zhang, J.P. \Discrete phase simulation of bubble
and particle dynamics in gas-liquid-solid
uidization
systems", Ph.D. Thesis, The Ohio State University
(1999).
24. Bourloutski, E. and Sommerfeld, M. \Transient Euler/
Lagrange calculations of dense gas-liquid-solid

ows in bubble column with consideration of phase interaction",
Proceedings 10th Workshop on Two-Phase
Flow Predictions, Merseburg, pp. 113-123 (2002).
25. Sun, X. and Sakai, M. \Three-dimensional simulation
of gas-solid-liquid
ows using the DEM-VOF
method", Chemical Engineering Science, 134, pp. 531-
548 (2015).
26. Zhang, X. and Ahmadi, G. \Eulerian-Lagrangian simulations
of liquid-gas-solid
ows in three-phase slurry
reactors", Chemical Engineering Science, 60, pp. 5089-
5104 (2005).
27. Zhang, X. and Ahmadi, G. \E ects of Particle Density
on Gas-Liquid-Solid Flows in Bubble Columns",
ASME 2014 4th Joint US-European Fluids Engineering
Division Summer Meeting collocated with the ASME
2014 12th International Conference on Nanochannels,
Microchannels, and Minichannels, pp.V01CT23A002-
V01CT23A002, American Society of Mechanical Engineers
(2014).
28. Hoomans, B.P.B., Kuipers, J.A.M., and Briels, W.J.
\Discrete particle simulation of bubble and slug formation
in a two-dimensional gas-
uidized bed: a hardsphere
approach", Chemical Engineering Science, 51,
pp. 99-118 (1996).
29. Harlow, F. and Welch, J. \Numerical calculation of
time-dependent viscous incompressible
ow of
uid
with free surface", Physics of Fluids, 8, pp. 2182-2189
(1965).
30. Griebel, M., Dornseifer, T., and Neunhoe er, T.
\Numerical simulation in
uid dynamics: A practical
introduction", The Society for Industrial and Applied
Mathematics, Philadelphia, PA (1998).

Scientia Iranica
Volume 25, Issue 6: Special Issue Dedicated to Professor Goodarz Ahmadi - Serial Number 6
Transactions on Mechanical Engineering (B)
November and December 2018
Pages 3197-3209

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History

  • Receive Date: 20 February 2018
  • Revise Date: 18 August 2018
  • Accept Date: 18 August 2018

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