Accepted Manuscript Influence of increased primary air ratio on boiler performance in a 660MW brown coal boiler
Zixiang Li, Zhengqing Miao, Yan Zhou, Shurong Wen, Jiangtao Li PII:
S0360-5442(18)30590-5
DOI:
10.1016/j.energy.2018.04.001
Reference:
EGY 12639
To appear in:
Energy
Received Date:
11 December 2017
Revised Date:
28 March 2018
Accepted Date:
01 April 2018
Please cite this article as: Zixiang Li, Zhengqing Miao, Yan Zhou, Shurong Wen, Jiangtao Li, Influence of increased primary air ratio on boiler performance in a 660MW brown coal boiler, Energy (2018), doi: 10.1016/j.energy.2018.04.001
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ACCEPTED MANUSCRIPT 1
Influence of increased primary air ratio on boiler performance in a 660MW brown coal boiler
2
Zixiang Lia, Zhengqing Miaoa, Yan Zhoub, Shurong Wenb, Jiangtao Lic
3
a.
4
Shanghai 200240, People’s Republic of China
5
b.
North United Power Co. Ltd, Inner Mongolia, 010000, People’s Republic of China
6
c.
Shanghai Boiler Works Ltd, Shanghai 200240, People’s Republic of China
7
Abstract
Institute of Thermal Energy Engineering, School of Mechanical Engineering, Shanghai Jiao Tong University,
8
A computational fluid dynamics model was established based on a 660MW brown coal boiler, to study the effects of
9
primary air ratio (PAR) on boiler performance. To improve model prediction, moisture content in brown coal is specially
10
considered. Confidence in the model was established by carrying out mesh independence test and validation against real
11
life data and theoretical calculations. Then it was used to simulate 10 cases with different PAR. Results show that with
12
PAR increasing from 0.325 to 0.55, overall boiler performance deteriorates and total radiative heat flux decreases by
13
35.2MW. However, the temperature distribution and heat flux in main burners region and above separated over fire air
14
region show a parabolic trend. The results indicate that boiler performance deteriorates with PAR increasing, and well
15
explains why boiler thermal load is still reduced, even if PAR is increased to maintain the drying capacity in high moisture
16
content cases. Momentum ratio of primary and secondary air is pointed out to be the main cause of this phenomenon. At
17
last, a feasible solution is proposed to raise primary air temperature, not the ratio of it, to maintain the drying capacity.
18
Therefore, the adverse effects caused by increased PAR can be avoided.
19 20
Keywords: Brown coal boiler, Primary air ratio, Combustion performance, Numerical simulation 1. Introduction
Corresponding author. Tel: +86 21 3420 5683. E-mail address:
[email protected] Notes: The authors declare no competing financial interest. 1
ACCEPTED MANUSCRIPT 21
At current consumption rate, global coal storage that can be mined will last at least 150 years and nearly 40% of it is
22
brown coal [1]. In china, the reservation of brown coal exceeds 130 billion tons, accounting for more than 13% of the
23
national total storage [2]. Generally, brown coal has some advantages like low mining cost, high volatile matter content
24
and low pollution forming elements. However, as a type of low rank coal, its features of high moisture content (MC), high
25
ash content and lower heating value significantly limit its application in power plants [3]. For example, the capacity
26
provided by large-scale lignite-fired power plants in China is lower than 3% of the national installed capacity [4]. Among
27
the above shortcomings, high MC is deemed to be the most adverse feature that results in lower power plant efficiency
28
(PPE), higher transportation costs and spontaneous combustion during storage [5][6].
29
So far, enormous works have been conducted to study the effect of MC on brown coal combustion behavior. The
30
greenhouse gases emission (CO2 for instance) was reported to be higher in brown coal boilers due to its lower boiler
31
efficiency [7][8], as a 1% increase in PPE can result in up to a 2.5% reduction in CO2 emissions [9]. Tahmasebzadehbaie
32
et al [10] reported that the emission decrement when thermal efficiency was increased, is due to less fuel consumption in
33
higher PPE condition. Tahmasebi et al [11] found the ignition of lignite particles takes more time when MC is increased
34
and the same conclusion was reported by Binner et al [12]. This was interpreted as the evaporation of water takes time and
35
the steam zone formed in the vicinity of particles inhibits the particles temperature from increasing [11]. Prationo et al [13]
36
found that the volatile flame was enlarged by the evaporated moisture and the coal flame intensity was weaker than dried
37
coal, as the volatile cloud was diluted by the evaporated water. As more high grade heat released by coal combustion was
38
absorbed by water evaporation, the overall boiler efficiency was then decreased [14]. Tian et al [15] found a slight decrease
39
in incident radiation in the main burners’ region with the increase of MC. Kurose et al [16] found that the unburned carbon
40
fraction at the furnace outlet increases with the increase of MC.
41
Considering the negative impacts of MC on brown coal combustion behavior, pre-drying technologies are used to
42
reduce water content in the raw coal. Some literatures reviewed the recent development of drying technologies [6][17][18], 2
ACCEPTED MANUSCRIPT 43
and many researches was conducted to investigate the improvement of PPE when pre-drying technique was employed and
44
pre-dried coal is burned. It is estimated that an optimized drying process in future brown coal power plant may increase
45
the total PPE by 4%-6% [19]. Through a theoretical model, Liu Ming et al [20] estimated that the overall PPE could be
46
raised by 1.87% when MC was pre-dried to 19.5% from 39.5%. Wang et al [21] reported that the auxiliary power can be
47
decreased by 3.8%, when MC was reduced from 40% to 25%. Xu et al [22] investigated a lignite pre-drying system
48
incorporated with a supplementary steam cycle, and found that the net PPE can be improved by 2.6% and the cost of
49
electricity can be reduced by 1.26$/MWh. Agraniotis et al [19] investigated the co-firing of raw brown coal and pre-dried
50
brown coal in a 590MW utility boiler and found that the net PPE can be increased by 5.9% when 100% pre-dried lignite is
51
fired and 1.5% when 25% pre-dried lignite is co-fired.
52
Although pre-dried coal has great advantages over the raw wet brown coal, pre-drying process consumes large amount
53
of energy [23] and may cause spontaneous ignition due to its high sensitive volatile content [3]. Besides, not all the power
54
stations were equipped with pre-drying system when they were firstly built. For those boilers without pre-drying facilities,
55
raw brown coal is directly fed into the mill system and then heated and dried in it. In the mill system, when MC is greater
56
than the design value, the energy provided by primary air (PA) cannot dry the coal particles to the design level if PA
57
temperature is remained unchanged. This results in an accumulation of pulverized coal in the mill system and consequently
58
blocks the coal pulverizing system [14]. A feasible solution is to use the air-preheating method, i.e. heat recirculation, to
59
preheating the inlet air and increase the primary air temperature [24]. However, the practical operation in power plant is to
60
raise the primary air ratio (PAR) to increase the total energy input in the mill system. This forced action causes PAR to
61
deviate from the design value, and thus alters the original aerodynamics condition and combustion performance. Several
62
researches have been conducted to investigate the influence of PAR on the combustion characteristics in boiler with swirl
63
burners [25][26][27], but few literature was focused on the direct burners. Long et al [28] investigated the influence of a
64
slightly elevated PAR on the combustion performance in a dual-circle tangential ultra-supercritical boiler, and found out 3
ACCEPTED MANUSCRIPT 65
that PAR had great impact on the combustion characteristics.
66
In this paper, the influence of overly increased PAR on boiler performance was studied and the decrease of boiler
67
efficiency was linked to the momentum ratio of primary air to secondary air flow. For this purpose, a computational fluid
68
dynamics (CFD) model was established on the basis of a 660MW brown coal utility boiler. The simulation cases were
69
conducted based on the operational parameters of Shangdu power plant, located in Inner Mongolia, China. The model was
70
firstly validated by comparing the simulation results with reference data, then it was used to investigate the influence of
71
PAR on coal combustion behavior and boiler performance. Results show that PAR has a significant influence on the
72
combustion behavior, a deviation of PAR will cause a deterioration of overall boiler performance. The findings find out
73
why the boiler efficiency was still reduced, even if PAR was increased to meet the requirement of drying capacity in the
74
mill system. It is pointed out that the momentum ratio of PA and secondary air (SA) is the main factor that affects the in-
75
furnace combustion behavior. The boiler performance deteriorates severely when the momentum of PA and SA are too
76
close, which should be avoided in real boiler operation. When high moisture brown coal is used, a feasible solution is
77
suggested to increase the temperature of PA, rather than the ratio of it, to meet the increasing requirement of drying capacity
78
in the mill system. So that the adverse effects of increased PAR can be avoided.
79
2. Boiler description and Computational methodology
80
2.1 Boiler configuration and operational condition
81
In this paper, the simulation domain was established based on a 660MW wall-fired brown coal utility boiler, located
82
in Inner Mongolia, China. As schematically shown in Fig.1a, the boiler was 68.5m in height with an almost square cross-
83
section of 20.0x20.3m. In the furnace roof region, platen super-heater (PSH) and rear super-heater (RSH) were also taken
84
into consideration. Heat transfer tubes were simplified into plate panels with the same area. Other convection surfaces
85
behind the furnace exit including re-heater, air-preheater, and economizer were neglected because of their negligible impact
86
on the in-furnace combustion process. 4
ACCEPTED MANUSCRIPT 87
As depicted in Fig.1a, PA1-PA6 were 6 sets in-service main burners (MBs) on each wall, i.e. upper main burners
88
(UMB), intermediate main burners (IMB) and lower main burners (LMB). In order to enhance the mixing of air and coal
89
particles, 9 sets of SA nozzles, i.e. SA1-SA9, were set up above and below each MB. The separated over fire air (SOFA)
90
nozzles were situated in the SOFA region. MBs and SA nozzles were wall-installed, while SOFA nozzles were mounted
91
tangentially at four corners. Detailed installation information of burners and air nozzles can be found in Fig.1b.
92
Under the boiler maximum continuous rating condition, 536.1t/h raw brown coal was consumed to produce 1913 t/h
93
steam at 25.4 MPa and 571℃. Correspondingly, the flow rate of PA and SA for the design firing case was 254.3kg/s and
94
528.2kg/s respectively. Boiler efficiency was estimated as 92.10% based on the lower heating value on a received basis.
95
Coal properties used in the simulation process were consisted with those in actual operation, as listed in Table 1. The
96
particle size distribution is modeled with the Rosin-Rammler function, which had been validated for powder size prediction
97
previously [29]. The model parameters are minimum diameter, maximum diameter, mean diameter and spread number,
98
which has a value of 10μm, 1100μm, 90μm and 1.13, respectively.
99
2.2 Boundary conditions and cases set up
100
In CFD simulation work, the boundary conditions are vital to solve a specific steady-state problem. There were mainly
101
three types boundary condition employed in this paper, namely the velocity-inlet, the pressure-outlet and the wall condition.
102
The velocity-inlet defined the way of air input, includes MBs, SA nozzles and SOFA nozzles, detailed information is given
103
in Table 2. For the gas phase, a “non-slip” boundary condition was employed on the walls [28], including furnace wall
104
(FW), PSH and RSH. Since the temperature variation of the working medium inside the heat absorbing tubes was not
105
dramatic, the wall temperature of each individual part was assumed to be a constant. According to the working medium’s
106
temperature, the temperature of FW, PSH and RSH was set to be 750K, 850K, and 893K respectively. The emissivity of
107
all walls was set to be 0.8. The domain exit was considered as a pressure-outlet with a light negative pressure of 200pa,
108
and the backflow temperature through the exit was set to be 1200K. 5
ACCEPTED MANUSCRIPT 109
To study the effects of PAR on boiler performance, 10 different simulation cases were conducted in this work. As
110
listed in Table 2, case 1 was the design firing condition and case 10 was the actual unfavorable firing scenario. For all
111
cases, the excess air coefficient was 1.18 and the SOFA rate was fixed to 20%. The primary air was uniformly distributed
112
to each MB (24 in total), for instance, 1.53% air was introduced into the furnace through each MB in case 1, where PAR
113
was set to be 32.5%. However, the secondary air was distributed unevenly among SA nozzles, because the area of SA2,
114
SA5 and SA8 was bigger than other SA nozzles as shown in Fig.1a. The distribution principle was to keep the air velocity
115
identical in each SA nozzles. For example in case 1, 1.82% air was injected through each large SA nozzle (12 in total), and
116
1.07 % was injected through the each small SA nozzle (24 in total). The temperature of PA and pulverized coal particles
117
was 338K while the temperature of SA and SOFA was 671K. Since the area of PA and SA wind boxes were immutable,
118
the velocity was adjusted to meet the variation of PAR, detailed information is list below.
119
2.3 Simulation methodology and models selection
120
The simulation work presented was carried out by ANSYS FLUENT, version 15.0. Appropriate sub-models were
121
selected according to the best of our knowledge, and all of them were already validated in open literature [30][31][32]. A
122
detailed description of the computational modeling was presented below.
123
2.3.1 Gas-solid two-phase flow model
124
In pulverized coal boiler, the low particle-to-gas ratio makes it ideally to be considered in an Eulerian-Lagrangian
125
approach [33]. In Eulerian-Lagrangian approach, the continuous phase is solved in the Eulerian reference frame in the same
126
manner as for single phase, and the individual discrete phase particles are tracked therein.
127
2.3.1.1 Gas phase
128 129 130
The continuous gas phase is modeled with the Reynolds-averaged Navier-Stokes equations. For a three dimensional steady state convection-diffusion problem, the governing equations take the following general form: ∂(𝜌𝑢𝜙) ∂(𝜌𝑣𝜙) ∂(𝜌𝑤𝜙) ∂ + ∂𝑦 + ∂𝑧 = ∂𝑥 ∂𝑥
(𝛤∂𝜙∂𝑥) + ∂𝑦∂ (𝛤∂𝜙∂𝑦) + ∂𝑧∂ (𝛤∂𝜙∂𝑧) + 𝑆 6
(1)
ACCEPTED MANUSCRIPT 131 132
As shown in Table 3, depending on variable 𝜙, the above Eq. (1) presents the transport equation of continuity, momentum, energy, turbulence kinetic energy and its rate of dissipation.
133
To close the Reynolds-averaged Naiver-Stokes equations, the standard k-ε model was selected because of its good
134
performance and stability [34]. In this model, two additional variables – turbulence kinetic energy (𝑘) and its rate of
135
dissipation (𝜀) are calculated. The turbulent viscosity 𝜇𝑡 is calculated as 𝜌𝐶𝜇𝑘 𝜀, and the model constants are 𝐶1𝜀=1.44,
136
𝐶2𝜀=1.92, 𝐶𝜇=0.09, 𝜎𝑘=1.0, 𝜎𝑠=1.3.
137
2.3.1.2 Particulate phase
138 139
2
The discrete phase model (DPM) is used to simulate the particulate phase, where the trajectory of a discrete phase particle is calculated by solving the momentum equations in a Cartesian system as Eq. (2): 𝑑𝑢𝑝
140 141
𝑑𝑡
=
18𝜇 𝐶𝐷𝑅𝑒 2 𝜌 𝑑 24 𝑝 𝑝
(𝑢 ‒ 𝑢𝑝) +
𝑔(𝜌𝑝 ‒ 𝜌)
(2)
𝜌𝑝
Herein, the right side of Eq. (2) are drag force term and gravity force term, respectively. Particle Reynolds number is: 𝑅𝑒 = 𝜌𝑑𝑝|𝑢𝑝 ‒ 𝑢| 𝜇
142
(3)
143
Besides, particles dispersion caused by fluid turbulence is included by using the stochastic tracking model [35]. In
144
stochastic tracking approach, the particles turbulence dispersion is predicted by replacing the mean fluid velocity 𝑢 with
145
the instantaneous fluid velocity 𝑢 + 𝑢 (𝑡) in above Eq. (2) and Eq. (3).
146
2.3.2 Devolatilization model
'
147
When heated up, the volatile matters released from coal particles before coal combustion process. The devolatilization
148
process is simulated with the two-competing rates model proposed by Kobayashi [36], in which the devolatilizaiton rate is
149
determined by two competing rates that controls the devolatilization process in different temperature range.
150
Low temperature range:
ℛ1 = 𝐴1𝑒
High temperature range:
ℛ2 = 𝐴2𝑒
‒
(𝐸1 𝑅𝑇𝑝)
(4)
‒
(𝐸2 𝑅𝑇𝑝)
(5)
Then these two rates are weighted to yield an expression for the overall devolatilization rate as: 7
ACCEPTED MANUSCRIPT 𝑚𝑣(𝑡)
151 152
(1 ‒ 𝑓𝑤,0)𝑚𝑝,0 ‒ 𝑚𝑎 =
(
8 ‒1
(6)
13 ‒ 1
,7.42 × 10 𝑠
The pre-exponential factors 𝐴1,𝐴2 are 9.71 × 10 𝑠 5
)
∫𝑡 (𝛼1ℛ1 + 𝛼2ℛ2)𝑒𝑥𝑝 ‒ ∫𝑡 (ℛ1 + ℛ2)𝑑𝑡 𝑑𝑡 0 0
, and the activation energy constant 𝐸1,𝐸2 are
5
153
1.93 × 10 𝑗/𝑚𝑜𝑙, 3.47 × 10 𝑗/𝑚𝑜𝑙 respectively [37]. According to the recommendation of Kobayashi et al [36], the yield
154
factor 𝛼1 is assumed as the mass fraction of volatile matter in approximate analysis, and 𝛼2 is set to be unity.
155
2.3.3 Combustion model
156
2.3.3.1 Volatile matters combustion
157
The combustion of volatile matters is modeled with an equilibrium mixture fraction – probability density function
158
model, where the instantaneous thermochemistry state of the fluid system is related to a conserved scalar quantity known
159
as the mixture fraction:
160 161
𝑓=𝑍
𝑍𝑖 ‒ 𝑍𝑖,𝑜𝑥
(7)
𝑖,𝑓𝑢𝑒𝑙 ‒ 𝑍𝑖,𝑜𝑥
In this model, the transport equations of density-averaged mixture fraction and its variance are solved as: ∂ (𝜌𝑓 ) + ∇ ∙ ∂𝑡
162
(𝜌𝑢𝑓 ) = ∇ ∙
∂ ∂𝑡
(𝜌𝑓'2 ) + ∇ ∙ (𝜌𝑢𝑓'2 ) = ∇ ∙
163
(
(
𝜇𝑙 + 𝜇𝑡
𝜇𝑙 + 𝜇𝑡 𝜎𝑡
)
(8)
∇𝑓 + 𝑆𝑚
𝜎𝑡
'2
∇𝑓
) + 𝐶 𝜇 ∙ (∇𝑓) ‒ 𝐶 𝜌 𝑓 2
𝑔 𝑡
𝜀 '2 𝑑 𝑘
(9)
'
164
Where 𝑓 = 𝑓 ‒ 𝑓. The model values for the constants 𝜎𝑡, 𝐶𝑔 and 𝐶𝑑 are 0.85, 2.86, and 2.0, respectively.
165
During the simulation process, the mixture fraction distribution is obtained directly by solving Eq. (8) and Eq. (9),
166
and then the values of mass fraction of each species, density and temperature can be obtained accordingly as Eq. (10): 1
167 168 169 170
𝜙𝑖 = ∫0𝜙𝑖(𝑓,𝐻)𝑝(𝑓)𝑑𝑓
(10)
2.3.3.2 Char oxidation To model char oxidation, a heterogeneous reaction is assumed to occur on char surface with first-order global Arrhenius rates, as listed in following reaction (I):
171
𝐶ℎ𝑎𝑟 + 0.5𝑂2→𝐶𝑂
(I)
172
𝐶𝑂 + 0.5𝑂2→𝐶𝑂2
(II)
8
ACCEPTED MANUSCRIPT 173
The rate of char combustion is described with the kinetic-diffusion single-film approach, which can be written as: 𝑑𝑚𝑝
174 175
𝑑𝑡
2
𝐷0 = 2.53 × 10 ‒
177
ℛ = 𝐶2𝑒
180
2.3.4 Heat transfer model
185 186
𝑅𝑇
×
[(𝑇𝑝 + 𝑇∞) 2]
(12)
𝑑𝑝
)
𝑝
(13)
1
2
3
(14)
𝑞𝑟 =‒ 3(𝑎 + 𝜎 ) ‒ 𝐶𝜎 ∇𝐺 𝑠
𝑠
Where the incident radiation 𝐺 can be determined by Eq. (15): ∇∙
((
) ‒ 𝑎𝐺 + 4𝑎𝑛 𝜎𝑇 = 0
∇𝐺
2
4
(15)
3 𝑎 + 𝜎𝑠) ‒ 𝐶𝜎𝑠
The emissivity of gas mixture is represent by the Weighted Sum of Gray Gases Model (WSGGM), in which the gas mixture is treated as a gray body. The total emissivity and absorption coefficient are described as following:
187
𝜀 = ∑𝑖 = 0𝑎𝜀,𝑖(𝑇)(1 ‒ 𝑒
188
𝑎𝜀,𝑖 = ∑𝑗 = 1𝑏𝜀,𝑖,𝑗𝑇
189
0.75
The P-1 model [39] is used to model the radiation heat transfer, in which the radiation heat flux 𝑞𝑟 is calculated as:
182
184
(
𝐸
‒7
2
respectively, as recommended in ref [38].
183
(11)
The pre-exponential factor 𝐶2 and the activation energy 𝐸 are 4.97 × 10 𝑘𝑔/(𝑚 ∙ 𝑠) and 8.54 × 10 𝑗/𝑚𝑜𝑙
179
181
𝑀𝑤,𝑜𝑥 𝐷𝑜 + ℛ
Where the diffusion rate coefficient 𝐷𝑜 and kinetic rate coefficient ℛ is defined as Eq. (12) and Eq. (13):
176
178
𝜌𝑅𝑇∞𝑌𝑜𝑥 𝐷𝑜ℛ
=‒ π𝑑𝑝
𝐼
𝐽
𝑗‒1
‒ 𝜅𝑖𝑝𝑠
)
(16) (17)
2.3.5 Consideration of moisture content
190
As was reported in open literatures that mentioned in the introduction part, MC has great effects on the combustion
191
performance of coal particles. So it is of great importance to take the moisture content into consideration in the simulation
192
work. In this paper, moisture content in brown coal was specially considered by specifying the species of volatile products
193
and liquid water when defining the coal inlet boundary condition. When heated up, the moisture inside coal particles will
194
firstly evaporates and then the devolatilization process begins, leaving the char and ash component in coal particles. 9
ACCEPTED MANUSCRIPT 195
According to the research of Bradley et al [40], the devolatilization process was finished in two steps. After the evaporation,
196
the tar component and primary volatiles were released from coal particles at first, then the tar species evolved into soot and
197
secondary volatiles. The whole process and mass fraction of each volatile species were calculated and clearly illustrated in
198
the following Fig.2.
199
The gas flow filed equations were firstly solved assuming that the coal particles were absent, which converged after
200
less than 2000 iterations. Based on the cold flow calculations, the coal combustion simulations were then carried out. The
201
convergence criterion was achieved when residuals of all parameters were below 10-5.
202
2.4 Mesh independence test and models validation
203
Predictably, a successive refinement of the mesh system will take us asymptotically towards the correct solution [41].
204
However, the computing cost increases correspondingly when the mesh system is refined. In order to make a balance
205
between the calculation accuracy and the computing cost, mesh independency is checked before the formal calculation. It
206
is conducted within four mesh systems, containing 3.27 million (#1), 3.92 million (#2), 4.53 million (#3) and 5.09 million
207
(#4) hexahedral cells respectively. Due to the relatively high flow gradient and combustion intensity in MBs’ region, mesh
208
refinement is mainly performed here. As shown in Fig.3, the distribution profile of area-weighted average velocity in MBs’
209
region was selected as the criterion of mesh quality because of its great influence on the mixing behavior and combustion
210
performance [29]. When compared with coarse mesh system #1 and #2, the velocity difference between fine mesh system
211
#3 and #4 is very small, especially in the dotted frame area. Thus we can assume that the accuracy of solution is not mesh-
212
dependent anymore when mesh system was further refined from #3 to #4 [42]. Therefore the #3 mesh system is selected
213
in the following simulation work presented.
214
The validation of this simulation model was ensured through comparing the simulation results with reference data.
215
Since backflow phenomenon may occur at the domain exit in the simulation process, parameters at the hypothetical furnace
216
exit, denoted as the data reference plane in Fig.1a, were selected to validate the model. As listed in Table 4, the superscript 10
ACCEPTED MANUSCRIPT 217
a presented the real-life data provided by Shangdu power plant, which were measured online when the boiler was operated
218
under extremely large primary air ratio, i.e. case 10 in this paper. Due to the slight fluctuation of online measured parameters,
219
the values presented was the average of data acquired in a long term operation. The flue gas temperature was selected
220
because it reflected the combustion performance and heat transfer process inside the furnace, and the velocity was selected
221
due to its great effects on the rear convective heating surfaces in real boiler operation, air preheater for instance. The
222
superscript b denoted the results calculated on the basis of element conservation, when the boiler was operated under design
223
case 1. For example, the mass of H2O was calculated as the summation of H2O(g) converted from the element H and those
224
evaporated from the moisture content, then it was divided by the total flus gas amount to obtain the H2O mass fraction.
225
Since H2O(g) was included in the total flue gas amount, the mass fraction of O2, H2O, CO2 presented in Table 4 was on a
226
wet basis. As can be seen that the discrepancy between CFD results and reference data is small (with 5%), so that the
227
selected models were quite acceptable.
228
On the basis of mesh independence test and model validation, a level of confidence in the current CFD model can be
229
established.
230
3. Results and discussion
231
When brown coal with higher MC is used, the pulverized coal particles cannot be heated to the design temperature,
232
even if PAR was increased to raise the drying capacity in the mill system. Thus, the temperature of primary air / pulverized
233
coal mixture (PA/PC) decreases in large PAR scenarios. According to the feedback of Shangdu power plant, the
234
temperature of PA/PC that enters the furnace through MBs is reduced to 331K, where it was designed to be 341K.
235
Meanwhile, the actual boiler thermal load is about 620MW which was expected to be 660MW. Hence, the effects of PA/PC
236
temperature on coal combustion behavior and boiler performance were examined before the influence of PAR was
237
conducted.
238
As shown in Table 5, with PA/PC temperature increasing from 328K to 343K, the flue gas temperature at the 11
ACCEPTED MANUSCRIPT 239
hypothetical furnace exit increases about 0.32% while the concentration of unburned char particles (UCPs) decreases by
240
0.74%. Meanwhile, the overall radiative heat flux on all heating surfaces is increased by 0.67%. It can be concluded that
241
when PA/PC temperature is increased in a small range, the combustion behavior and boiler performance are improved very
242
slightly. However, the insignificant difference of these parameters means that the PA/PC temperature is not the main cause
243
of boiler thermal load reduction. Therefore, the following parts are focused on the effects of increased PAR.
244
3.1 Combustion temperature distribution
245
3.1.1 Temperature distribution contour on the vertical and horizontal cut
246
Fig.4 and Fig.5 represents the temperature distribution contour on the vertical cut at Z=0 and on the horizontal cut at
247
Y=8.93m respectively. We can see from Fig.4 that the temperature distribution patterns are basically the same for all cases.
248
In the ash hopper zone, the temperature is very low as less coal particles is combusted here [32]. As shown in Fig.5, the
249
coal combustion occurs mainly on a tangential circle, formed by the combined effects of the impact extrusion of gas flow,
250
restriction from FW, the jet entrainment and the centrifugal force [43], the temperature in the near wall region is much
251
higher than that in the central zone. Above SOFA region, the temperature decreases gradually along the furnace height.
252
This is because the heat absorbed by FW is larger than the heat released from coal combustion, as the combustion fraction
253
decreases along the furnace height.
254
Taking the furnace as a whole, as Fig.4 depicts, the combustion temperature decreases gradually with PAR increasing.
255
However, the temperature variation is different in MBs’ region and the region above SOFA. In MBs’ region, with PAR
256
increasing continuously, the high temperature zone decreases at first and then goes up again slightly. On the contrary, as
257
indicated by the red dash line, the area size of high temperature zone above SOFA region increases when PAR is slightly
258
increased and then decreases step by step when PAR exceeds a certain value, 0.425 in this paper. This can be interpreted
259
as, when PAR is increased moderately, the combustion behavior in MBs’ region deteriorates and more unburned particles
260
are then consumed above SOFA region. So that the high temperature zone decreases in MBs’ region and increases above 12
ACCEPTED MANUSCRIPT 261
SOFA region. However, when PAR is further increased, the combustion performance gets improved somehow in MBs’
262
region, so that the temperature increase slightly in MBs’ region and decreases above SOFA region. Nevertheless, as shown
263
in Fig.5, although the temperature level shows a re-increase trend when PAR is overly increased, the high temperature zone
264
is spread on the furnace wall, which will result in undesired problem, like slagging and high temperature corrosion on the
265
water wall tubes.
266
3.1.2 Average temperature distribution profile along the furnace height
267
Fig.6 shows the mass-weighted average temperature distribution on the horizontal cross-section along the furnace
268
height. Owing to the alternant input of low temperature PA and SA, the average temperature profile fluctuates in MBs’
269
region. We can see that the variation of average temperature is different when PAR is in the range from 0.325 to 0.425 and
270
the range from 0.450 to 0.550. In MBs’ region, when PAR is below 0.425, the average temperature decrease evidently with
271
PAR increasing. For instance, the temperature difference between case 1 and case 5 is 144.3K at Y=16m. However, when
272
PAR continues to rise from case 6 to case 10, the temperature in MBs’ region remains stable. As the near wall temperature
273
is much higher than that in the central zone, when PAR is moderately increased from case 1 to case 5, the influence of
274
temperature decrease in the near wall region is greater than the temperature increase in central zone, so that the average
275
temperature decreases gradually. However, in case 6 to 10, the modest increase of near wall temperature is neutralized by
276
the temperature decrease in the central zone, so that the average temperature remains almost unchanged. Above SOFA
277
region, the average temperature increases from case 1 to 5, and then decreases from case 6 to 10. For example, the
278
temperature difference between case 6 and 10 is 51.6K at Y=35m. This can be attributed to that the size of high temperature
279
zone increases gradually from case 1 to case 5, as was shown in Fig.4, and then decreases from case 6 to 10.
280
The data shown in Fig 6 are used to calculate the average temperature in the intensive combustion region, where Y
281
ranges from 5 to 20m, for each case. Then the average temperature difference between case 1 and other cases is obtained
282
and shown in Table 6. We can find that when PAR exceeds 0.375, the average temperature in this region is reduced by at 13
ACCEPTED MANUSCRIPT 283
least 49K when compared with case 1. As the radiative intensity is in proportional to the fourth power of temperature, the
284
temperature decrease in this region will notably deteriorate the overall heat transfer process, as will be shown in Fig.7
285
3.1.3 Mechanisms of how increased PAR affects the combustion temperature
286
To sum up, the combustion temperature inside the furnace shows a parabolic variation trend with PAR increasing, but
287
how the increased PAR affects the in-furnace combustion performance still remains unclear. Thus, three possible
288
mechanisms for this phenomenon are discussed in detail as following.
289
(1) Difference in total air energy input. With PAR increasing, the secondary air ratio decreases correspondingly. Since
290
primary air temperature is lower than that of SA, the total energy input carried by air is thus reduced. For wet air, the
291
specific enthalpy can be calculated by temperature and moisture content as Eq. (18): 𝐼 = (1.01 + 1.84𝑑)(𝑇𝑎𝑖𝑟 ‒ 273.15) + 2500𝑑
292
(18)
293
According to above Eq. (18), primary air and secondary air enthalpy is calculated to be 80.32𝑘𝑗/𝑘𝑔 and 420.08𝑘𝑗/𝑘𝑔
294
respectively. Then the total enthalpy input carried by air is calculated as the mass-weighted summation of primary air and
295
secondary air flow as:
296
𝑄𝑎𝑖𝑟 = 𝑞𝑚,𝑎𝑖𝑟 ∙ [𝐼𝑃𝐴 ∙ 𝑃𝐴𝑅 + 𝐼𝑆𝐴(1 ‒ 𝑃𝐴𝑅 ‒ 0.2)]
(19)
297
The total air enthalpy 𝑄𝑎𝑖𝑟 under each cases are calculated and presented in Table 2. For the worst combustion case 5,
298
the decrement of 𝑄𝑎𝑖𝑟 is 0.266x105𝑘𝑗/𝑠 when compared with the design case 1. Meanwhile, the energy of brown coal fed
299
into the furnace is 2.02x106𝑘𝑗/𝑠. The reduction of 𝑄𝑎𝑖𝑟 is only 1.30% of the total energy input, which means it cannot be
300
the main cause of the lower furnace temperature and poor combustion performance in large PAR scenarios. Besides, 𝑄𝑎𝑖𝑟
301
decreases monotonously with the increase of PAR, which cannot explain the temperature increase in the near wall region
302
under cases with extremely large PAR.
303 304
(2) Momentum ratio of primary air to secondary air. The momentum of primary air flow and secondary air flow is calculated as Eq. (20) and Eq. (21), respectively. 14
ACCEPTED MANUSCRIPT
305
𝑃𝑃𝐴 = 𝑞𝑚,𝑎𝑖𝑟 ∙ 𝑃𝐴𝑅 ∙ 𝑣𝑃𝐴
(20)
𝑃𝑆𝐴 = 𝑞𝑚,𝑎𝑖𝑟 ∙ (1 ‒ 𝑃𝐴𝑅 ‒ 0.2) ∙ 𝑣𝑆𝐴
(21)
Then the momentum ratio between primary air flow and secondary air flow is calculated as: 𝑃𝑃𝐴
306
𝑣𝑃𝐴
𝑃𝐴𝑅
𝑃𝑆𝐴 = 1 ‒ 𝑃𝐴𝑅 ‒ 0.2 ∙ 𝑣
𝑆𝐴
(22)
307
According to the research of Ahmed et al [44], the velocity ratio between primary fuel stream and secondary air stream
308
plays an important role in the mixing process, and the combustion performance depends largely on the mixing process of
309
coal and supplementary air [42][45]. Therefore when the momentum of PA and SA is too close, the mixing and combustion
310
of pulverized coal becomes worse. The momentum ratio
311
explain the change process of combustion temperature mentioned above. From case 1 to 5, the momentum ratio changes
312
towards 1, indicating that the momentum of PA and SA is getting close. Correspondingly, the high temperature zone shown
313
in Fig.4 decreases gradually. While from case 6 to 10, the momentum ratio gets away from 1, which means the momentum
314
difference of PA and SA is enlarged, so that the temperature in the near wall region goes up again slightly.
𝑃𝑃𝐴
𝑃𝑆𝐴 is calculated and listed in Table 2, which can be used to
315
(3) Pulverized coal concentration and supplementary air. In fact, the momentum difference is also great in cases with
316
extremely large PAR, like case 9 and case10, but the combustion temperature is still at a relatively low level. This is because
317
the overly increased PAR lowers the concentration of pulverized coal in primary fuel stream. In these cases, per unit mass
318
of coal particles is surrounded by more low temperature PA, so that more heat is needed to heat up coal particles before
319
the ignition and combustion process. So that the combustion performance is still not as good as the design case, even if the
320
mixing process is improved.
321
3.2 Heat flux distribution
322
3.2.1 Heat flux spatial distribution contour on the furnace wall
323
To generate steam with high temperature and high pressure, the heat released from coal combustion is absorbed by
324
the working medium inside the water tubes located at FW and other heating surfaces. Therefore, the heat flux distribution 15
ACCEPTED MANUSCRIPT 325
on these heating surfaces will notably affect the overall boiler efficiency. Fig.7 depicts the spatial distribution contour of
326
heat flux on FW, which represents the intensity of the heat transfer process. The negative values mean that FW absorbs
327
heat from the high temperature flues gas. The spatial distribution of heat flux on FW is asymmetric due to the burners are
328
installed away from the centerline of FW. Since the high temperature zone is primarily located in the mid part of the
329
furnace, Y ranges from 0 to 25m, the heat flux intensity is much higher in this region. As the figure depicts, the most
330
intensive heat transfer process occurs in the design firing case 1. With the increase of PAR, the heat transfer intensity
331
decreases gradually at first. However, when PAR exceeds 0.425, the heat flux on FW increases again slightly, but still not
332
as high as case 1 and 2.
333
The variation of heat flux intensity under different cases is consistent with the temperature distribution shown in Fig.4,
334
as the radiation intensity is proportional to the fourth power of the combustion temperature. The high temperature zone in
335
the near wall region decreases obviously from case 1 to 5 and then scales up again slightly from case 6 to 10 (Fig.4), so
336
that the heat transfer intensity enlarges in a small range after an initial rapid decrease. In pulverized coal boiler, the radiation
337
is absolutely dominant in the heat transfer process [43][46]. Therefore the reduction in heat transfer intensity will decrease
338
the amount of heat absorbed by the water wall tubes, as discussed in the following paragraph.
339
3.2.2 Variation of radiative heat flux on all heating surfaces
340
The following Fig.8 presents the variation of radiative heat flux on different heating surfaces, including FW, PSH and
341
RSH, where ALL denotes the sum of all these three parts. It’s noteworthy that each individual part represents a surface
342
group. For instance, the FW denotes a surfaces group, consisting of surfaces that covers from the bottom to the top of the
343
furnace on the four side walls. From Fig.8 we can see that with PAR increasing, the radiative heat flux on FW decrease at
344
first and then increases, the minimum value is 427.1MW when PAR is 0.425. However, the change of radiative heat flux
345
on PSH and RSH is exactly the opposite. As the figure depicts, the total radiation heat flux is reduced by 5.78%, from
346
609.1MW to 573.9MW, which is in conformity with the reality. Although the radiation heat flux on FW rise again when 16
ACCEPTED MANUSCRIPT 347
PAR exceeds 0.425, the overall radiative heat flux remains stable after an initial rapid reduction. This is due to the increase
348
of radiative heat flux on FW is counteracted by the decrease of it on PSH and RSH.
349
The variation of heat flux on these heating surfaces is identical with the temperature distribution shown in above
350
Fig.4, where the temperature above SOFA region decreases after an initial increase, and the temperature in the near wall
351
region decrease at first and then goes up again. As majority of the heat released from coal combustion is designed to be
352
absorbed by water wall tubes located on FW, the decreases of heat flux on FW will result in an obvious decrement of total
353
heat absorption, and thus lowers the boiler efficiency. Meanwhile, the increase of heat flux on PSH and RSH may lead to
354
an over-temperature on the heat absorbing tubes of PSH and RSH. In some extra cases, the severe over-temperature of
355
tubes will result in tube failure and even unplanned boiler shut down [47][48].
356
3.3 Distribution of oxygen and carbon oxide
357
The distribution profile of O2 and CO mass fraction under different cases are plotted in Fig.9 and Fig.10, respectively.
358
The residual O2 reflects the utilization efficiency of oxidant, and the CO mass fraction can be used as an effective criteria
359
for the coal combustion sufficiency. Due to the intensive O2 consumption and newly supply of fresh air, O2 mass fraction
360
in Fig.9 shows several peaks and valleys in MBs’ region. In the SOFA region, O2 mass fraction firstly increases due to the
361
input of separated over fire air, and then remains at a relatively high level since the combustion intensity decreases above
362
the SOFA region. For CO mass fraction, we can see from Fig.10 that it is relatively high in MBs’ region, because the
363
combustion here is intensive and the oxidant is in a low level. In the SOFA region, CO content decreases gradually and
364
reaches to a very low level in the furnace roof region. This can be explained as the input of fresh air and the consumption
365
of CO along the furnace height.
366
From Fig.9, we can see that O2 mass fraction increases gradually when PAR varies from 0.325 to 0.425, and then
367
decreases gradually when PAR is in the range from 0.45 to 0.55. It means the oxidant utilization becomes worse when PAR
368
is increased from case 1 to case 5, and then the utilization efficiency gets better again from case 6 to 10. Similar conclusion 17
ACCEPTED MANUSCRIPT 369
can be obtained from CO mass fraction profile. As Fig.10 shows, CO content increases gradually at first with PAR
370
increasing, and thereafter decreases when PAR exceeds 0.425. This can be explained as the coal combustion gets worse at
371
first when PAR is slightly increased and after that, the combustion gets improved again.
372
We can find that the temperature variation shown in Fig.4 matches well with the distribution profile of O2 and CO
373
mass fraction depicted in Fig.9 and Fig.10. As shown in case 1 to 5, when combustion process becomes worse, the oxidant
374
utilization gets worse and CO content increases, thus the combustion temperature decreases correspondingly. On the
375
contrary, when the combustion gets better in case 6 to 10, the O2 and CO content decreases and the combustion temperature
376
arises again. Detailed reason of why O2 and CO shows such a variation trend with PAR increasing has been presented
377
previously in above section 3.1.3.
378
3.4 Unburned char particles
379
3.4.1 Mass fraction distribution of unburned char particles
380
As was reported [8][11], the release and combustion of volatile matters gets started and finished quickly in the vicinity
381
of the burners, so that the mass concentration of unburned char particles (UCPs) is selected to represent the utilization of
382
fuel. Fig.11 shows the contour of UCPs’ concentration in the very middle of MBs’ region (Y=8.93m). As the figure depicts,
383
UCPs are predominantly concentrated at the tangential circle formed in the furnace. With PAR increasing, the concentration
384
of UCPs increases gradually at first and then decreases slightly, but still maintains at a very high level. The variation of
385
UCPs’ concentration coincides well with the distribution of temperature, O2 and CO content discussed above, as the
386
combustion efficiency of char particles determines the utilization of O2, and thus affects the combustion temperature level
387
and CO generation process.
388
3.4.2 Unburned char particles at the furnace exit
389
As the parameters in MBs’ region cannot fully reflect the overall combustion performance inside the furnace, the
390
variation of UCPs’ concentration at the hypothetical furnace exit, denoted as data reference plane in Fig.1a, is illustrated 18
ACCEPTED MANUSCRIPT 391
in Fig.12. As can be seen, the concentration of UCPs at the hypothetical furnace exit increases slightly when PAR is
392
increased from 0.325 to 0.45, and then enlarges obviously when PAR varies from 0.45 to 0.55. As described in section
393
3.1.1, when PAR is increased in a small range, coal combustion deteriorates in MBs’ region, but the unburned coal particles
394
are then burned above SOFA region, so that the increase of UCPs’ concentration is not evident. However, when PAR is
395
further increased, the overall combustion performance continuously to deteriorate, even if the combustion process in MBs’
396
region gets improved slightly. Therefore, more coal particles leave the furnace exit without being burned, resulting in an
397
obvious increase of UCPs’ concentration.
398
The elevation of UCPs’ concentration diminishes the utilization of fuel energy, thus the combustion temperature
399
decreases and the heat transfer intensity is weaken in those cases with high UCP s’ concentration, as shown in Fig.4 and
400
Fig.7. In addition, the increase of UCPs’ concentration will inevitably augments the amount of fly ash. The increase of fly
401
ash content will cause a severe deposition on the following convective heating surfaces and jeopardizes the overall heat
402
transfer coefficient, due to its low thermal conductivity of ash deposition layer [49][50]. In some extra situation, the fly ash
403
deposition may result in an unplanned shutdown of the boiler units [51].
404
4. Conclusions
405
In this paper, a three dimensional CFD model was established based on a 660MW wall-fired pulverized coal boiler.
406
Confidence in the model was obtained by carrying out the mesh independence test and the validation against real life data
407
and theoretical calculations. Then it was used to simulate 10 cases where PAR varies from the design value 0.325 to the
408
actual operational value 0.55. The temperature, heat flux distribution, O2 mass fraction, CO mass fraction and UCPs’
409
concentration were selected to analyze the effect of PAR on the combustion performance. From the above results and
410
discussion, some particular conclusions can be drawn:
411
1.
412
A slight decrease of PA/PC temperature has very little influence on coal combustion performance inside the furnace and the overall boiler efficiency. 19
ACCEPTED MANUSCRIPT 413
2.
The increase of PAR has a great influence on the combustion performance. As a whole, the combustion process
414
deteriorates with the increase of PAR. However, in MBs’ region and the region above SOFA, the combustion
415
characteristics show a parabolic trend with PAR increasing.
416
3.
The reduction of total air energy input is not the main cause of the combustion behavior deterioration, since it accounts 𝑃𝑃𝐴
417
for only 1.30% of the total energy input. The variation of
418
degradation, due to its great effects on the mixing and combustion process.
419
4.
𝑃𝑆𝐴 is the main cause of the boiler performance
In cases with extremely large PAR, the reduction of pulverized coal concentration and the increase of ignition heat
420
constrain the improvement of combustion behavior. So that the combustion performance in cases with extremely large
421
PAR is still not as good as the design firing case.
422
Based on this research, it is suggested that the operation condition, where the momentum of PA and SA is too close
423
to each other, should be avoided, since the combustion performance under such conditions is the worst. A feasible solution
424
is proposed to solve the problem caused by the increase of moisture content in brown coal boiler. That is to raise the
425
temperature of PA that enters the mill system, to meet the increasing demand of drying capacity. In this way, PAR remains
426
at the design value and the reduction of boiler efficiency and boiler thermal load caused by increased PAR can be avoided.
427
Acknowledgements
428 429
This work was supported by the Technology Research Program of China Huaneng Group (Contract No. HNBFKJ2014-SC-05). Shangdu power plant is gratefully acknowledged for providing the real operational data. Nomenclature
𝑀𝑤,𝑜𝑥
molecular weight of oxidant
Abbreviation
𝑛
refractive index of the medium
CFD
computational fluid dynamics
𝑃𝑃𝐴
momentum of primary air flow
FW
furnace wall
𝑃𝑆𝐴
momentum of secondary air flow
MB
main burner
𝑃𝑃𝐴
MC
moisture content
PA
primary air
𝑄𝑎𝑖𝑟
total air energy input
primary air ratio
𝑞𝑚,𝑎𝑖𝑟
total mass flow rate of air
PAR
𝑃𝑆𝐴
momentum ratio between primary air and secondary air flow
20
ACCEPTED MANUSCRIPT PA/PC
primary air / pulverized coal mixture
𝑅
universal gas content
PPE
power plant efficiency
ℛ1
devolatilization rate at low temperature range
PSH
platen super-heater
ℛ2
devolatilization rate at high temperature range
RSH
rear super-heater
𝑆
generalized source term
SA
secondary air
𝑇𝑎𝑖𝑟
temperature of wet air, K
SOFA
separated over fire air
𝑇𝑝
particle temperature
UCP
unburned char particle
𝑢
fluid phase velocity
𝑢𝑝
velocity of discrete phase particle
Symbol 𝑎
absorption coefficient
𝑎𝜀,𝑖
'
velocity fluctuation value
emissivity weighting factor of 𝑖th gray gas
𝑢 (𝑡) 𝑣𝑃𝐴
𝑏𝜀,𝑖,𝑗
emissivity gas temperature polynomial coefficients
𝑣𝑆𝐴
secondary air velocity
𝐶
linear-anisotropic phase function coefficient
𝑌𝑜𝑥
mass fraction of oxidant
𝐶𝐷
drag coefficient
𝑍𝑖
mass fraction for element 𝑖
𝑐𝑝
specific heat capacity
𝑍𝑖,𝑓𝑢𝑒𝑙
mass fraction at fuel stream inlet
𝑑
moisture content in wet air
𝑍𝑖,𝑜𝑥
mass fraction at oxidizer stream inlet
𝑑𝑝
diameter of discrete phase particle
𝛼1
yield factor at low temperature range
𝑓
instantaneous mixture fraction
𝛼2
yield factor at high temperature range
𝑓
mean mixture fraction
Γ
generalized diffusion coefficient
𝑓
mean mixture fraction variance
𝜀
turbulence dissipation rate
𝑔
gravitational acceleration constant
𝜅𝑖
absorption coefficient of the 𝑖th gray gas
𝐻
mean enthalpy
𝜇
dynamic viscosity
𝐼
specific enthalpy of wet air
𝜇𝑙
laminar viscosity
𝐼𝑃𝐴
enthalpy of primary air
𝜇𝑡
turbulent viscosity
𝐼𝑆𝐴
enthalpy of secondary air
𝜌
fluid phase density
𝑘
turbulence kinetic energy
𝜌𝑝
density of discrete phase particle
𝑘𝑓
heat transfer coefficient
𝜎
Stefan-Boltzmann constant
𝑚𝑎
mass of ash content in the particle
𝜎𝑠
scattering coefficient
𝑚𝑝,0
initial particle mass
𝜙
universal variable
𝑚𝑣(𝑡)
volatile yield up to time 𝑡
𝜙𝑖
mean value of species mass fraction, density, etc.
'2
primary air velocity
430
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431
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Table 1. Physical properties of brown coal used in this simulation work. Proximate analysis (wt%, ar) Volatile
Ash
Moisture
C
H
O
N
S
(KJ/kg)
24.77
20.37
16.86
38.00
75.17
5.45
16.64
0.95
1.79
12120
ar, on a received basis, daf, on a dry ash-free basis, LHV represents the lower heating value
Table 2. Detailed information of velocity inlet boundary condition. Case
1
2
3
4
5
6
7
8
9
10
PAR
0.325
0.350
0.375
0.400
0.425
0.450
0.475
0.500
0.525
0.550
VPA (m/s)
25.9
27.9
29.9
31.9
33.8
35.8
37.8
39.8
41.8
43.8
VSA (m/s)
50.8
48.1
45.4
42.7
40.1
37.4
34.7
32.1
29.4
26.7
𝑄𝑎𝑖𝑟(x105kJ)
2.423
2.356
2.290
2.224
2.157
2.091
2.024
1.958
1.891
1.825
0.451
0.581
0.747
0.955
1.231
𝑃𝑃𝐴
555
LHVar
Fixed carbon
545 546 547 548 549 550 551 552 553
554
Ultimate analysis (wt%, daf)
0.349
𝑃𝑆𝐴
1.592
2.066
3.609
𝑄𝑎𝑖𝑟 represents the total air energy input, 𝑃𝑃𝐴 represents the momentum of primary air, 𝑃𝑆𝐴 represents the momentum of secondary air.
𝑃𝑃𝐴
𝑃𝑆𝐴 represents the momentum ratio between primary air and secondary air flow
556 557 558 559 560 561 562 563
2.714
Table 3. Specific meaning of 𝜙, Γ and 𝑆 in different governing equations. 𝜙
Γ
𝑆
Continuity equation
1
0
0
Momentum equation
𝑢𝑖
𝜇
Energy equation
𝑇
Turbulence kinetic energy
𝑘
𝑘𝑓 μ+
28
‒
𝑐𝑝
𝜇𝑡
𝜎𝑘
∂𝑝
∂𝑥𝑖 + 𝑆𝑖 𝑆𝑇
𝐺𝑘 ‒ 𝜌𝜀
ACCEPTED MANUSCRIPT Turbulence dissipation rate
μ+
𝜀
564
29
𝜇𝑡
𝜎𝑠
𝐶1𝜀𝐺 ε 𝑘 ‒ 𝐶 𝜌𝜀2 𝑘 2𝜀 𝑘
ACCEPTED MANUSCRIPT 565
566 567 568 569 570 571 572 573 574
Table 4. Comparison of CFD results and reference data. velocity (m/s)
temperature (K)
O2 mass fraction
H2O mass fraction
CO2 mass fraction
CFD results
10.7 a
1212 a
0.0492b
0.0895b
0.1885 b
Reference data
11.2a
1237a
0.0470b
0.0929b
0.1872 b
Relative discrepancy
4.46%
2.02%
4.68%
3.68%
0.69%
a.
represents the real-life data of actual unfavorable firing case 10, b. denotes the theoretical calculations of design
case 1, on a wet basis.
Table 5. Parameters at the furnace exit and the overall heat flux under different PA/PC temperature. PA/PC temperature (K)
328
335
343
flue gas temperature (K)
1216.8
1218.6
1220.7
0.539
0.537
0.535
609.4
611.2
613.5
UCPs’ concentration
(x10-2 kg/m3)
overall radiative heat flux (MW)
575 576 577 578 579 580 581 582
Table 6. Area-weighted temperature difference between design case 1 and other cases. Case
1
2
3
4
5
6
7
8
9
10
Temperature difference (K)
0
12.2
33.6
51.6
52.1
59.1
53.0
52.9
49.3
49.1
583
30
ACCEPTED MANUSCRIPT
(a) Geometric configuration of boiler
(b) Detailed installation information of burners and air nozzles
Fig.1. Schematic of the furnace and the arrangements of main burners and air nozzles
584
31
ACCEPTED MANUSCRIPT
Fig.2. Devolatilization model and product compositions for brown coal used (as received basis).
585
32
ACCEPTED MANUSCRIPT
Velocity Magnitude (m/s)
22
3.27M 3.92M 4.53M 5.09M
20
18
16 LMB region
IMB region
UMB region
14 0.0
2.5
5.0
7.5
10.0
12.5
15.0
Distance from the reference plane (m)
17.5
Fig.3. Velocity profile along the furnace height under different mesh systems
586
33
ACCEPTED MANUSCRIPT
Case 1
Case 3
Case 5
Case 6
Case 8
Case 10
Fig.4. Temperature distribution contour on the vertical cut at Z=0.
587
34
ACCEPTED MANUSCRIPT
Case 1
Case 3
Case 6
Case 8
Case 5
Case 10
Fig.5. Temperature distribution contour on the horizontal cut at fourth layer of burners at Y=8.93m.
588
35
Mass-weighted average temperature (K)
Mass-weighted average temperature (K)
ACCEPTED MANUSCRIPT
0.325 0.350 0.375 0.400 0.425
1650 1600 1550 1500 1450 1400 1350
SOFA region
MBs' region
1300
0
5
10
15
20
25
arch zone
30
35
40
Dsitance from the reference plane (m)
45
(a) PAR in the range from 0.325 to 0.425
0.450 0.475 0.500 0.525 0.550
1650 1600 1550 1500 1450 1400 1350 1300 0
SOFA region
MBs' region
5
10
15
20
25
arch zone
30
35
40
Dsitance from the reference plane (m)
(b) PAR in the range from 0.450 to 0.550
Fig.6. Mass-weighted average temperature distribution profile of horizontal cross-section along the furnace height.
589
36
45
ACCEPTED MANUSCRIPT
Case 1
Case 3
Case 5
Case 6
Case 8
Case 10
Fig.7. Contour of heat flux spatial distribution on furnace wall.
590
37
ACCEPTED MANUSCRIPT
Radiative Heat Flux (MW)
592 FW ALL PSH 100 RSH 90
600 585 570
80 50
465 450
45
435 0.35
0.40
0.45
0.50
0.55
40
Primary air ratio Fig.8. Variation of radiative heat flux on different heating surfaces.
593
38
ACCEPTED MANUSCRIPT
7
O2 mass fraction (%)
O2 mass fraction (%)
7
6
6
5
5
4
4 3 2 SOFA region
MBs' region
1 5
10
15
20
25
0.325 0.350 0.375 0.400 0.425
3 2
5
30
SOFA region
MBs' region
1
10
15
20
25
0.450 0.475 0.500 0.525 0.550 30
Dsitance from the reference plane (m)
Dsitance from the reference plane (m) (a) PAR in the range from 0.325 to 0.425
(b) PAR in the range from 0.450 to 0.550
Fig.9. Area-weighted average O2 distribution profile of horizontal cross-section along the furnace height.
594
39
ACCEPTED MANUSCRIPT
0.325 0.350 0.375 0.400 0.425
1.2
1.8
CO mass fraction (%)
CO mass fraction (%)
1.8
0.6
0.0
0
5
10
15
20
25
30
35
40
Dsitance from the reference plane (m)
0.450 0.475 0.500 0.525 0.550
1.2
0.6
0.0
45
0
5
10
15
20
25
30
35
40
45
Dsitance from the reference plane (m)
(a) PAR in the range from 0.325 to 0.425
(b) PAR in the range from 0.450 to 0.550
Fig.10. Area-weighted average CO mass fraction distribution profile of horizontal cross-section along the furnace height
595
40
ACCEPTED MANUSCRIPT
Case 1
Case 3
Case 5
Case 6
Case 8
Case 10
Fig.11. Distribution of UCPs’ concentration in the very middle of main burners’ region (Y=8.93m).
596
41
UCPs' concentration (x10-2kg/m3)
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0.568
0.560
0.552
0.544
0.536 0.30
0.35
0.40
0.45
0.50
0.55
Primary air ratio Fig.12. Variation of UCPs’ concentration at the hypothetical furnace exit under different PAR.
597
42
ACCEPTED MANUSCRIPT Highlights
Effects of increased primary air ratio in a 660MW pulverized boiler were simulated.
Primary air ratio has great influence on coal combustion and boiler efficiency.
Mechanisms of how primary air ratio affects the boiler performance was discussed.
Situation where momentum of primary and secondary air is close should be avoided.
Suggestion is given to avoid the bad effects caused by increased primary air ratio.