Abstract
Purpose
Fluidized bed combustion is currently intensively developed throughout the world to produce energy from several types of solid fuels, while significantly reducing pollutant emissions with respect to conventional combustion units. Accurate models must be formulated at both bed and particle levels to operate efficiently such units, since local phenomena such as particle temperature and combustion rate are crucial aspects for process improvement and control. In this sense, this article proposes a classification of local scale models to represent the evolution of char heterogeneous combustion of any carbonaceous particles.
Methods
Existing models are described and classified based on the characteristics of the governing equations, the thermal behavior of the gas and solid phases and the description of both the burning particle and the surrounding gas, under a heterogeneous or pseudo-continuous assumption. Criteria for choosing one model instead of others are also considered, depending on the case. The so-called Intrinsic Reactivity Models are described in detail for evaluating the pertinence of their simulated results. The use of CFD to build a simulation scheme of the solid combustion process at local scale is also presented and discussed.
Results
A complete description of the solid fuel burning process is given, along with useful information concerning the evolution of different variables, such as particle internal temperature that governs the reaction rate and gas composition.
Conclusions
This comparative analysis gives a strong basis to select the appropriate modeling approach. Finally, recommendations are proposed for model application and future development.
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Abbreviations
- Bi:
-
Biot number, dimensionless
- cp :
-
Specific heat capacity (J/kg K)
- C:
-
Molar concentration (kmol/m3)
- d:
-
Diameter (m)
- D:
-
Diffusivity (m2/s)
- e:
-
Particle emissivity
- Ea :
-
Activation energy (J/kmol)
- h:
-
Enthalpy (J)
- hb,s :
-
Heat transfer coefficient (particle in bed) (W/m2 K)
- hg,s :
-
Heat transfer coefficient (particle in gas) (W/m2 K)
- is :
-
Solid component j
- km :
-
Mass transfer coefficient between particle and its surrounding (m/s)
- n:
-
Number of chemical reactions
- N:
-
Number of components
- Ns :
-
Number of species
- r:
-
Radius (m)
- r:
-
Distance from particle center (m)
- r:
-
Spherical coordinate
- rS :
-
Particle external radius (m)
- R:
-
Gas law constant (8.315 J/kg mol)
- Ri :
-
Reaction rate of chemical reaction i (kg/m3 s)
- S:
-
Area (m2)
- Sv :
-
Specific surface area (m2/m3)
- t:
-
Time (s)
- T:
-
Temperature (K)
- TS :
-
Temperature at particle surface (K)
- v:
-
Gas velocity (m/s)
- v0 :
-
Superficial gas velocity (m/s)
- x:
-
x-direction
- xC :
-
Conversion degree of solid or carbon
- X:
-
Solid component mass fraction
- y:
-
Axis of cylinder
- y :
-
Species mass fraction
- α:
-
Stoichiometric coefficient
- ϒ:
-
Stoichiometric coefficient
- ∆H:
-
Reaction enthalpy (J/kg)
- ∆T:
-
Temperature difference (K)
- ε:
-
Porosity
- τ:
-
Particle tortuosity
- λ:
-
Thermal conductivity (W/m K)
- ρ:
-
Density (kg/m3)
- σ:
-
Stephan–Boltzmann constant (5.67 × 10−8 W/m2 K4)
- Ω H :
-
Overall source term due to chemical reaction, for energy
- Ω M :
-
Overall source term due to chemical reaction, for mass
- Ψ:
-
Adjustable parameter in Eq. (13)
- ∇:
-
Grade operator
- 0:
-
Initial
- av:
-
Available
- b:
-
Bed, bulk
- C:
-
Carbon
- eff:
-
Effective
- g:
-
Gas
- H:
-
Enthalpy
- i:
-
Combustion reaction
- j:
-
Species or component j
- m:
-
Mass
- max:
-
Maximum
- p:
-
Particle
- ref:
-
Reference
- s:
-
External surface of the solid
- s:
-
Solid
- 0:
-
Reference
- g:
-
Gas
- N S :
-
Number of species
- s:
-
Solid
- AC:
-
Asymptotic consumption
- ANN:
-
Artificial neural network
- CFD:
-
Computational fluid dynamics
- DAE:
-
Distributed activation energy
- DEM:
-
Discrete element method
- FB:
-
Fluidized bed
- FBC:
-
Fluidized bed combustor
- GC:
-
General case
- GC:
-
Global combustion
- HM:
-
Heavy metal
- HSC:
-
Heterogeneous shrinking core
- IR:
-
Intrinsic reactive
- IRGC:
-
Intrinsic reactivity general case
- LES:
-
Large eddy simulation
- LHS:
-
Left hand side
- MLP:
-
Multi layer perceptron
- MSW:
-
Municipal solid waste
- RDF:
-
Residue derived fuel
- RHS:
-
Right hand side
- QSS:
-
Quasi stationary state
- PVC:
-
Poly vinyl chloride
- SIMPLE:
-
Semi-implicit method for pressure-linked equations
- UC:
-
Uniform conversion
- UDF:
-
User defined function
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Acknowledgments
This study was developed in the CONICET (MINCyT)—CNRS Argentine—French collaboration agreement (SYNSOLGAS PROJECT). G. D. Mazza and J. M. Soria are Research Members of CONICET (Argentina). It was supported by the SOLSTICE Laboratory of Excellence of the French “Investments for the future” programme managed by the National Agency for Research under contract ANR-10-LABX-22-01.
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Mazza, G.D., Soria, J.M., Gauthier, D. et al. Environmental Friendly Fluidized Bed Combustion of Solid Fuels: A Review About Local Scale Modeling of Char Heterogeneous Combustion. Waste Biomass Valor 7, 237–266 (2016). https://doi.org/10.1007/s12649-015-9461-5
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DOI: https://doi.org/10.1007/s12649-015-9461-5