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A two-way coupled CFD-DQMOM approach for long-term dynamic simulation of a fluidized bed reactor

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Abstract

For the long-term dynamic simulation of a fluidized bed reactor (FBR), a two-way coupled computational fluid dynamics (CFD)-direct quadrature method of moments (DQMOM) approach is proposed. In this approach, CFD is first used only for hydrodynamic information without simulating any other chemical reactions or physical phenomena. Subsequently, the derived information is applied to the DQMOM calculation in MATLAB. From the calculation, a particle size distribution is obtained and subsequently adopted in a new CFD model to reflect the flow change caused by a change in the particle size distribution. Through several iterative calculations, long-term dynamic simulations are performed. To evaluate the efficacy of the proposed approach, the results from the suggested approach are compared for 60 s with those of the CFD-quadrature method of moments (QMOM) approach, which calculates hydrodynamics and physical phenomena simultaneously in CFD. The proposed approach successfully simulated the FBR for 6 h. The results confirmed that the proposed method can simulate complex flow patterns, which cannot be obtained in conventional CFD models. Another advantage of the approach is that it can be applied to various industrial multiphase reactors without any tuning parameters.

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Abbreviations

ds :

particle size [m]

d32 :

sauter mean diameter [mm]

g:

gravitational acceleration [m/s2]

Kgs :

gas/solid drag coefficient

L:

particle size as internal coordinate [m]

m:

moments

n:

bubble number density

P:

pressure [N/m2]

sp :

phase p among particles

t:

time [s]

u :

velocity vector [m/s]

w:

quadrature weight

α :

phase volume fraction

δ :

dirac delta function

μ :

molecular dynamic viscosity [Pa s]

λ s :

solid bulk viscosity [Pa s]

ρ :

density [kg/m3]

θ s :

granular temperature [m2/s2]

\(\mathrm{k}_{\theta_{s}}\) :

granular energy

\(\gamma_{\theta_{s}}\) :

collisional dissipation of energy

ϕ gs :

energy exchange between gas and solid

ess :

restitution coefficient

g0,ss :

radial distribution function

τ :

stress-strain tensor [Pa]

CFD:

computational fluid dynamics

CFD-hydrodynamics model:

simulate only hydrodynamics without reactions or the PBM

CFD-QMOM:

simulate flows and PBM together in FLUENT’s own implementation code

FBR:

fluidized bed reactor

PBM:

population balance model

QMOM:

quadrature method of moments

DQMOM:

direct quadrature method of moments

NDF:

number density function

g:

gas

s:

solid

i:

specified number of moments

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Acknowledgements

This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Ministry of Science and ICT (MSIT) of the Korean government (No. 2020R1A2C100550311).

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Authors and Affiliations

  1. School of Chemical and Biological Engineering, Institute of Chemical Processes, Seoul National University, Gwanak-ro 1, Gwanak-gu, Seoul, 08826, Korea

    Minjun Kim, Kyoungmin Lee, Youngseok Bak & Jong Min Lee

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  1. Minjun Kim
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  2. Kyoungmin Lee
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  3. Youngseok Bak
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  4. Jong Min Lee
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Correspondence to Jong Min Lee.

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Kim, M., Lee, K., Bak, Y. et al. A two-way coupled CFD-DQMOM approach for long-term dynamic simulation of a fluidized bed reactor. Korean J. Chem. Eng. 38, 342–353 (2021). https://doi.org/10.1007/s11814-020-0701-4

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  • DOI: https://doi.org/10.1007/s11814-020-0701-4

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