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Frontiers in Energy

ISSN 2095-1701

ISSN 2095-1698(Online)

CN 11-6017/TK

Postal Subscription Code 80-972

2018 Impact Factor: 1.701

Front. Energy    2021, Vol. 15 Issue (1) : 99-111    https://doi.org/10.1007/s11708-020-0685-0
RESEARCH ARTICLE
Modeling of single coal particle combustion in O2/N2 and O2/CO2 atmospheres under fluidized bed condition
Xiehe YANG1, Yang ZHANG1(), Daoyin LIU2, Jiansheng ZHANG1, Hai ZHANG1, Junfu LYU1, Guangxi YUE1
1. Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Energy and Power Engineering, Tsinghua University, Beijing 100084, China
2. Key Laboratory of Energy Thermal Conversion and Control of Ministry of Education, School of Energy and Environment, Southeast University, Nanjing 210096, China
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Abstract

A one-dimensional transient single coal particle combustion model was proposed to investigate the characteristics of single coal particle combustion in both O2/N2 and O2/CO2 atmospheres under the fluidized bed combustion condition. The model accounted for the fuel devolatilization, moisture evaporation, heterogeneous reaction as well as homogeneous reactions integrated with the heat and mass transfer from the fluidized bed environment to the coal particle. This model was validated by comparing the model prediction with the experimental results in the literature, and a satisfactory agreement between modeling and experiments proved the reliability of the model. The modeling results demonstrated that the carbon conversion rate of a single coal particle (diameter 6 to 8 mm) under fluidized bed conditions (bed temperature 1088 K) in an O2/CO2 (30:70) atmosphere was promoted by the gasification reaction, which was considerably greater than that in the O2/N2 (30:70) atmosphere. In addition, the surface and center temperatures of the particle evolved similarly, no matter it is under the O2/N2 condition or the O2/CO2 condition. A further analysis indicated that similar trends of the temperature evolution under different atmospheres were caused by the fact that the strong heat transfer under the fluidized bed condition overwhelmingly dominated the temperature evolution rather than the heat release of the chemical reaction.

Keywords coal      oxy-fuel      fluidized bed      combustion      simulation     
Corresponding Author(s): Yang ZHANG   
Online First Date: 20 July 2020    Issue Date: 19 March 2021
 Cite this article:   
Xiehe YANG,Yang ZHANG,Daoyin LIU, et al. Modeling of single coal particle combustion in O2/N2 and O2/CO2 atmospheres under fluidized bed condition[J]. Front. Energy, 2021, 15(1): 99-111.
 URL:  
https://academic.hep.com.cn/fie/EN/10.1007/s11708-020-0685-0
https://academic.hep.com.cn/fie/EN/Y2021/V15/I1/99
Reaction Number
φV α1CO+α2CO2+α3 CH 4+ α4H2O+α5H2 R1
2(α+β)α +2βC+O2= 2α α+2β CO+2βα+2βCO2 R2
C(s)+ CO2=2CO R3
C(s)+ H2O=CO+ H 2 R4
CH 4+0.5O2=CO+ 2H 2 R5
H 2+0.5O2=H2O R6
CO+0.5O2= CO 2 R7
Tab.1  Reaction scheme of combustion model
Number Coefficients of reaction rate???? Units Ref.
R1 w1= d mvdt=k mvk =Y1k1+Y 2 k2 k1=2.0×105exp( 1.04×108RuTs)sk2=1.3× 10 7exp (1.67× 10 8 RuT s)s kg/s [30]
R2 αβ=A CO/CO2exp( ECO /CO2RT)w2= 2(α +β)α+2βAexp( ERT)ρO2s kg/s [30]
R3 w3=ks[CO2], k=4.605 Texp( 1.75× 10 8 RT ) kmol/s [32]
R4 w4=ks[H2O], k= 11.25 Texp( 1.75× 10 8 RT ) kmol/s [32]
R5 w5=k[CH 4]0.5[O2]1.25, k=4.39× 10 11T exp( 1.28× 10 8 RT ) kmol/(m3?s) [32]
R6 w6=k[H 2]0.5[O2]2.25[H 2O]1, k=3.00× 10 16 T 1exp (1.67× 10 8 RT ) kmol/(m3?s) [32]
R7 w7=k[CO][O 2]0.25[H2O]0.5, k=2.24×1012T 1exp( 1.67 ×108RT) kmol/(m3?s) [32]
Tab.2  Coefficients of chemical reaction rate
Fig.1  Schematics of coal particle combustion model under FB conditions.
Name Unit Value
Tb K 1073
emf 0.44
e0 0.4
L0 m 3.3 × 104
Ug m/s 0.27
lg W/(m?K) 0.07
cp,g J/(kg?K) 1190 (N2 atmosphere)
J/(kg?K) 1260 (CO2 atmosphere)
rg kg/m3 0.3 (N2 atmosphere)
kg/m3 0.5 (CO2 atmosphere)
Pr 0.8
DO2 (in N2) m2/s 2.2 × 104
DCO (in N2) m2/s 2.2 × 104
DCO2 (in N2) m2/s 1.65 × 104
DO2 (in CO2) m2/s 1.7 × 104
DCO (in CO2) m2/s 1.7 × 104
Tpar,0 K 293
rpar m 0.003, 0.006
ΔHvap J/kg 2.26 × 107
Tab.3  Values of model parameters
ρpar,0
/(kg ?m3 )
λpar,0/(W?(m?K)1) cp ,0/( J?(kg?K)1)
Anthracite coal 1498 0.4 998
Bituminous coal 1583 0.7 1046
Sub-bituminous 1662 0.5 1049
Lignite coal 1503 0.4 1211
Tab.4  Thermal properties of fuels
Types Anthracite Bituminous Sub-bituminous Lignite Schima wood
Proximate analysis (as received)/% fM 1.4 1.9 5.1 19.4 9.1
fV 7.2 12.8 21.1 35.1 80.6
fC 75.7 48.9 49.9 35.9 10.1
fA 15.7 38.5 23.9 9.5 0.2
Chemical analysis (dry and ash free)/% C 88.16 82.21 83.58 62.33 46.33
H 3.88 4.31 4.68 5.51 5.81
N 1.27 1.12 1.74 1.42 0.06
O 5.89 11.37 9.20 30.17 47.38
S 0.80 0.99 0.80 0.57 0.42
Tab.5  Proximate and ultimate analyses of fuel samples
Fig.2  Comparison of computed and experimental temperature.
Fig.3  Comparison of computed particle temperature evolution with and without the devolatilization model (Schima wood).
Fig.4  Temperature evolution with respect to time of different types of fuels in the O2/CO2 atmosphere (rp = 6 mm).
Fig.5  Comparison of carbon conversion for different fuel types at 30 vol% O2 and rp = 6 mm in CO2.
Fig.6  Comparison of carbon conversion of different O2 fractions in N2 and CO2 of Anthracite coal at rp = 6 mm.
Fig.7  Comparison of oxidation and gasification reaction rates in the O2/N2 and O2/CO2 atmospheres (Oxidation: C+ O2 = aCO+ bCO2. Gasification: C+CO2 = 2CO).
Fig.8  Comparison of temperature evolution in O2/N2 and O2/CO2 atmospheres (Anthracitic coal, rp = 6 mm).
Fig.9  Comparison of carbon conversion in O2/N2 and O2/CO2 atmospheres (Anthracitic coal, rp = 6 mm).
Fig.10  Non-dimensional heat ratio as a function of time (Anthracitic coal, rp = 6 mm).
Fig.11  Mole fraction of volatiles as a function of time in H-zone (Anthracitic coal).
A Surface area/m2
ci Mass concentration of species i/(kg·m–3)
cp Heat capacity at constant pressure/(J·(kg?K)–1)
C Amount of carbon in the coal/%
D Gas diffusion coefficient/(m2·s–1)
h Overall heat transfer coefficient between particle and atmosphere/(W·(m2?K)–1)
hg Heat transfer coefficient between reaction sheet and atmosphere/(W·(m2?K)–1)
hin Heat transfer coefficient between particle and reaction sheet/(W·(m2?K)–1)
H Amount of hydrogen in the coal/%
kpyro Rate constant of devolatilization/(kg·s–1)
kvap Rate constant of vaporization/(kg·s–1)
L0 Initial pore length/m
MWc Carbon molecular weight/(kg·mol–1)
m Mass/kg
mv Mass of volatiles/kg
N Amount of nitrogen in the coal/%
Nu Nusselt number (-)
O Amount of oxygen in the coal/%
Pr Prandtl number (-)
Qr Heat release rate of heterogeneous reaction/(J·s–1)
Qh Heat transfer between the fuel particle and environment/(J·s–1)
Q* Non-dimensional heat ratio (-)
Re Reynolds number (-)
Ru Universal gas constant
r Radius/m
ref Radius of evaporation layer/(m·s–1)
S Amount of sulfur in the coal/%
Sr Source term/(kg·(m3?s)–1 or W·(m3?s)–1)
Sc Schmidt number (-)
Sh Sherwood number (-)
s Volume-specific surface area/m–1
T Temperature/K
t Time/s
Ug Fluidization velocity/(m·s–1)
Umf Minimum fluidization velocity/(m·s–1)
V Particle volume/m3
v Gas viscosity/(m2·s–1)
vi,j Stoichiometric coefficients of species i in reaction j (-)
wh,j Rate of j homogeneous reaction/(103mol·(m3?s)–1)
ws,j Rate of j heterogeneous reaction (103mol·(m3?s)–1)
Xc Carbon conversion rate (-)
ΔHh,j Reaction heat of j homogeneous reaction/(J·(kmol)–1)
ΔHs,j Reaction heat of j heterogeneous reaction/(J·(kmol)–1)
ΔHvap Vaporization heat/(J·kg–1)
φA Mass fraction of ash (-)
φC Mass fraction of carbon (-)
φM Mass fraction of moisture (-)
φV Mass fraction of volatiles (-)
ΔM Consumption rate of char/(kg·s–1)
[i] Mole concentration of species i/(mol·m–3)
αi Stoichiometric coefficient of species i in the devolatilization reaction (-)
βg Mass transfer coefficient between reaction sheet and atmosphere/(m·s–1)
βin Mass transfer coefficient between particle and reaction sheet/(m·s–1)
ε Emissivity (-)
εmf Bed voidage at the minimum fluidization state (-)
ε0 Porosity of char (-)
λ Thermal conductivity/(W·(m?K)–1)
μ Dynamic viscosity/(N?s·m–2)
ρ Mass density/(kg·m–3)
σ Stefan-Boltzmann constant/(W·(m2?K4)–1)
ψ Structural parameter of the char (-)
Δt Time-step/s
par Particle
rs The reaction sheet
b Fluidized bed
ps Particle surface
Infinity far boundary
0 Initial state
  
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