Effective lateral dispersion of momentum, heat and mass in bubbling fluidized beds

doi:10.1007/s11705-024-2503-4

Front. Chem. Sci. Eng.

2024, Vol. 18

Issue (12) : 151 https://doi.org/10.1007/s11705-024-2503-4

Effective lateral dispersion of momentum, heat and mass in bubbling fluidized beds

Gabriel Gustafsson¹, Guillermo Martinez Castilla², David Pallarès², Henrik Ström¹(

)

¹. Division of Fluid Dynamics, Chalmers University of Technology, SE-412 96 Gothenburg, Sweden
². Division of Energy Technology, Chalmers University of Technology, SE-412 96 Gothenburg, Sweden

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Abstract

The lateral dispersion of bed material in a bubbling fluidized bed is a key parameter in the prediction of the effective in-bed heat transfer and transport of heterogenous reactants, properties important for the successful design and scale-up of thermal and/or chemical processes. Computational fluid dynamics simulations offer means to investigate such beds in silico and derive effective parameters for reduced-order models. In this work, we use the Eulerian-Eulerian two-fluid model with the kinetic theory of granular flow to perform numerical simulations of solids mixing and heat transfer in bubbling fluidized beds. We extract the lateral solids dispersion coefficient using four different methods: by fitting the transient response of the bed to (1) an ideal heat or (2) mass transfer problem, (3) by extracting the time-averaged heat transfer behavior and (4) through a momentum transfer approach in an analogy with single-phase turbulence. The method (2) fitting against a mass transfer problem is found to produce robust results at a reasonable computational cost when assessed against experiments. Furthermore, the gas inlet boundary condition is shown to have a significant effect on the prediction, indicating a need to account for nozzle characteristics when simulating industrial cases.

Keywords effective dispersion heat transfer mass transfer mixing gas-solid fluidized bed

Corresponding Author(s): Henrik Ström

Just Accepted Date: 05 July 2024 Issue Date: 26 September 2024

Cite this article:

Henrik Str?m,David Pallarès,Guillermo Martinez Castilla, et al. Effective lateral dispersion of momentum, heat and mass in bubbling fluidized beds[J]. Front. Chem. Sci. Eng., 2024, 18(12): 151.

URL:

https://academic.hep.com.cn/fcse/EN/10.1007/s11705-024-2503-4
https://academic.hep.com.cn/fcse/EN/Y2024/V18/I12/151

Tab.1 The simulation cases evaluated in the present work

Fig.1 The domain with (a) imposed initial and (b) boundary conditions for methods 2 and 1, respectively.

Fig.2 A visual comparison of instantaneous volume fraction fields in the different beds studied. (a) The HiVoid case with smaller sand corresponds to the solids used in the experiments of Sette et al. [33], and (b, c) the LoVoid cases with larger sand corresponds to the solids used in the experiments of Martinez Castilla et al. [37]. The LoVoid-small-nozzle case (c) employs “nozzle” inlet boundary condition instead of the uniform “porous plate” inlet boundary condition used in the other cases (a, b).

Fig.3 Experimental [33] and simulated (current work) values of the solids lateral dispersion coefficient for the HiVoid cases, extracted using methods 2 (DispTrans) and 3 (CondSteady).

Fig.4 Experimental [37] and simulated (current work) values for the denser bed (LoVoid cases). The experimental error bars indicate lower and upper bounds for the method used (more information is provided in the ESM).

Fig.5 A collected comparison of the different analysis methods tried for all the available data sets. The solid black lines indicate the experimentally obtained D_L for the HiVoid case and the experimentally obtained uncertainty interval for D_L for the LoVoid cases (Fig. 4).

Fig.6 The computed turbulent dispersion D_T in each direction (averages along two planes at different heights in the bed).

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