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Experimental and modeling studies on sulfur trioxide of flue gas in a coal-fired boiler Baixiang Xiang, Man Zhang, Yuxin Wu, Hairui Yang, Hai Zhang, and Junfu Lv Energy Fuels, Just Accepted Manuscript • Publication Date (Web): 16 May 2017 Downloaded from http://pubs.acs.org on May 17, 2017
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Energy & Fuels
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Experimental and modeling studies on sulfur trioxide of flue
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gas in a coal-fired boiler
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Baixiang Xiang, Man Zhang, Yuxin Wu, Hairui Yang, Hai Zhang, Junfu Lu*
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Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Thermal
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Engineering, Tsinghua University, Beijing, 100084, China
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ABSTRACT
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Various damages, including corrosion, fouling, and blue plumes, can be caused by sulfur
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trioxide (SO3) in the flue gas of a coal-fired boiler on boiler equipment and the atmospheric
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environment. The increasing demand for energy conservation and emission reduction requires
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accurate knowledge on predicting and controlling SO3 concentration. Accurate knowledge on the
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effect of the factors that influence SO3 in flue gas is necessary as well. Therefore, in this study,
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various SO3 concentrations under different flue gas conditions are measured with measuring
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devices built based on controlled condensation and S balance methods. To study further the effect
15
of the factors that influence SO3 in flue gas, an improved SO2/O2/H2O/CO2/CO/NO kinetic
16
mechanism is built based on previously developed mechanisms and validated with previous
17
experimental data. SO3 concentrations under the established flue gas conditions and with
18
increasing residence time are numerically calculated. SO3 concentration in flue gas is mainly
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dependent on SO2, O2, and H2O concentrations as well as temperature and residence time. SO3
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concentration undergoes three stages of sharp increase, slow increase, and gradual decrease as the
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residence time increases. In addition, SO3 concentration increases significantly as CO and NO
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emerge in the flue gas. However, SO3 is constant as CO2 emerges.
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Keywords: coal-fired boiler, chemical kinetic model, sulfur trioxide, flue gas
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1. INTRODUCTION
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Given the presence of sulfur in coal, flue gas typically contains SO2, some of which further
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reacts with O2, H2O, CO2, CO, and NO in flue gas to generate SO3. Fleig et al. [1] found that
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SO3/SOx in flue gas ranges only from 0.1% to 1% for air-fired pulverized-coal combustion.
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However, with the development of selective catalytic reduction (SCR) deNOx technology in
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recent years and the increase in the installed power capacity of SCR systems to 250 GW around
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the world in 2015 [2], SO2/SO3 conversion has significantly increased from 2% to 3% for air-fired
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pulverized-coal combustion [3]. SO3 in the flue gas of a coal-fired boiler causes various damages
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on boiler equipment and the atmospheric environment [4–10]. Xiang et al. [4–5] found that the
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acid dew point of flue gas depends mainly on the partial pressure of SO3 and water vapor in flue
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gas, and the risk of corrosion and fouling of heating surfaces in the second pass of boilers
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increases significantly as SO3 emerges in the flue gas even at a small mole fraction (e.g., 5 ppm).
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Moser et al. [6–7] found that SO3 reacts with NH3 to form NH4HSO4 at temperatures ranging from
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450 K to 489 K, and if SO3 is present at a molar concentration that exceeds that of NH3, fouling
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will occur. When fouling occupies the flow channel, the induced draft fan increases significantly.
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Moser et al. [6–7] also found that Hg removal efficiency decreases significantly because SO3 is
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easily absorbed by fly ash in flue gas. When fabric filters are used in plants burning high-sulfur
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coals, the filters’ metal components and cake properties are adversely affected by SO3.
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Additionally, Moser et al. [6–7] and Fleig et al. [8] found that visual discoloration of plume occurs
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in the power plant stack because of the optical light-scattering effect, which is produced by
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sulfuric acid particles in flue gas. Therefore, accurate knowledge on the effect of the factors that
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influence SO3 in flue gas is required to meet the increasing demands for energy conservation and
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emission reduction.
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Several SO3 measurement methods, including controlled condensation, S balance, salt
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solution absorption, isopropanol solution, pentol SO3 monitoring, and use of spiral tubes, have
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been presented in previous studies [11–22]. Lisle et al. [11] and Cheney et al. [12] proposed the
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controlled condensation method based on the principle that sulfuric acid can be measured by
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cooling down flue gas to a temperature between its water and acid dew points. The researchers
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discovered that this method is more reliable than other measuring methods. However, Fleig et al.
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[13], Zhang et al. [14], Xiao et al. [15], and Guo et al. [16] found that the measured results
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obtained from using the controlled condensation method are affected by experimental conditions
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and the skill of the operator. Mueller et al. [17] and Fleig et al. [18] found that SO3 mole fraction
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is approximately an order of magnitude larger than that of any other sulfur-containing species,
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with the exception of SO2. Thus, SO3 mole fraction can be reasonably inferred from the measured
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SO2 consumption. Compared with those obtained from the controlled condensation method, the
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measured results from the S balance method are independent of experimental conditions and
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operator skill. Cooper et al. [19] found that SO3 in flue gas can be measured with alkali solutions,
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including NaCl, NaOH, KCl, CaCl2, and K2CO3. However, Vainio et al. [20] found that SO3
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concentration measured with the salt solution absorption method are affected by the salt solution
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and other factors. Fleig et al. [13], Xiao et al. [15], and Guo et al. [16] found that the results
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obtained with the salt solution absorption method are less reliable than those obtained with the
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controlled condensation method under similar conditions. The same researchers also found that
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the results obtained with the isopropanol solution method are affected by experimental conditions
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and operator skill and are less reliable than those obtained with the controlled condensation
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method under similar conditions. Therefore, among the SO3 measurement methods reported in
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previous studies, the controlled condensation method is more reliable than the other methods that
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involve operator skill. Furthermore, the S balance method is independent of experimental
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conditions and operator skill.
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With the SO3 measurement methods mentioned above as a reference, many studies have been
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conducted on the effect of the factors that influence SO3 in flue gas [1, 8, 23–30]. Liu et al. [23]
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and Xie et al. [24] found that the conversion rate of SO2 to SO3 in a fluidized bed combustion
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(FBC) system firing municipal solid waste (MSW) and refused derived fuel (RDF) can be
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increased either at a high concentration of HCl with a high temperature or at a low HCl
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concentration with a low temperature and can reach up to around 6% at 1000 ppm HCl and 873 K.
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Fleig et al. [8], Reidick et al. [25], Belo et al. [26], Spörl et al. [27] and Jørgensen et al. [28] found
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that the concentrations of HCl and Cl2 in flue gas are relatively lower for coal combustion
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compared with that for MSW and RDF combustion. SO3 concentration in a coal-fired boiler
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depends mainly on the concentrations of SO2, O2, H2O, CO2, CO, and NO, residence time, and
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temperature, except for boilers equipped with an SCR system using V2O5/WO3 as catalysts and in
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which the alkali content in flue gas is relatively high. Ahn et al. [29] investigated the effects of
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increased oxygen and carbon dioxide concentration on SO3 formation in two types of pilot-scale
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furnaces, namely, pulverized coal and circulating fluidized-bed fired systems. They found that SO3
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emissions under air-fired conditions are higher than those under oxy-fired conditions for
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pulverized coal testing. However, SO3 emissions are similar under air-fired and oxy-fired
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conditions for circulating fluidized bed testing. Fleig et al. [1] focused on gas-phase chemistry,
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examined the effect of different combustion parameters and atmospheres on the formation of SO3
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in oxy-fuel and air-fuel flames, and found that SO3 formation is influenced by direct and indirect
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effects of SO2, O2, NO, and CO contents in flue gas. Moreover, Fleig et al. [30] studied the effects
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of different combustion parameters on SO3 formation in a flow reactor under post-flame
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conditions and found that the formation of SO3 increases as reactive gases (e.g., NO, CO, and
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CH4) emerge. However, previous studies [1, 8, 23–30] have found that knowledge on the effect of
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factors that influence SO3 in flue gas, including SO2, O2, H2O, CO2, CO, and NO concentrations,
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residence time, and temperature, is still insufficient to meet the increasing demands for energy
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conservation and emission reduction.
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Aside from experimental studies on the effect of influencing factors on SO3 in flue gas, many
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kinetic modeling studies have also been conducted [17, 31–38]. Mueller et al. [17] developed and
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validated a detailed chemical kinetic mechanism by using reaction profile measurements of CO,
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CO2, O2, NO, NO2, and SO2 in a flow reactor. Spencer et al. [38] proposed a detailed chemical
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kinetic scheme that includes gas-phase reactions that participate in the formation and destruction
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of SO3 during combustion and post-combustion. The reaction set and corresponding rates were
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experimentally and theoretically derived and found to be consistent with the experimental data.
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However, Alzueta et al. [31], Giménez-López et al. [32], Rasmussen et al. [33], Yilmaz et al. [34],
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and Hindiyarti et al. [35] found that the results of SO3 concentrations numerically calculated with
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the two kinetic mechanisms do not agree with the experimental data reported in previous research.
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Subsequently, Giménez-López et al. [32] revised and updated the sulfur subset according to an
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experimental study on the presence of SO2 in CO oxidation under CO2 atmosphere. Alzueta et al.
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[31] experimentally studied the interaction of SO2 with the radical pool under combustion
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conditions and revised and updated the reaction set and corresponding rates. Moreover,
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Rasmussen et al. [33] updated the kinetic model for the interaction of SO2 with H radical via ab
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initio calculations for key reactions. They re-examined the mechanism of fuel/SO2 interactions
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with the experimental results from batch and flow reactors as well as laminar flames.
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In the current work, SO3 concentrations under different flue gas conditions were measured
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with a measuring device built based on controlled condensation and S balance methods. The effect
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of SO2, O2, H2O, NO, CO2, CO, temperature, and residence time on SO3 concentration in flue gas
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at temperatures ranging from 973 K to 1273 K was investigated. Furthermore, to study the effect
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of the factors that influence SO3 in flue gas, an improved SO2/O2/H2O/CO2/CO/NO kinetic
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mechanism was built according to previous research achievements. The mechanism was validated
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with experimental data and mechanisms reported in previous studies. In addition, SO3
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concentrations under different flue gas conditions and with increasing residence time were
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numerically calculated with a perfectly stirred reactor system using the CHEMKIN-PRO software.
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2. EXPERIMENTAL SECTION
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2.1 Controlled condensation method
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The controlled condensation method is one of the most reliable measuring methods [8, 11–
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16, 20–21]. Thus, by referring to the controlled condensation method, a SO3 concentration
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measuring device was built in this study. The device was used to simulate the formation of SO3 in
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flue gas by heating mixture gases, including SO2, O2, NO, CO2, CO, and H2O, and studying the
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effect of SO2, O2, H2O, NO, CO2, CO, temperature, and residence time on SO3 concentration in
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the flue gas (Figure 1). During the experiment, H2O flowed through the mixing chamber to mix
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with other gases. The flow was simulated by atomizing pure deionized water with a highly
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effective nebulizer (Q-HEN-170-A0.05) and N2. Subsequently, the mixed gases flowed through
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the perfectly stirred reactor arranged in a heated tubular furnace, as shown in Figure 2. The
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perfectly stirred reactor is made of quartz glass, which is why it demonstrates good
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high-temperature performance (e.g., from 1000 K to 1300 K). Furthermore, quadruple circular–
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spiral nozzles exist in the perfectly stirred reactor. The presence of these nozzles can increase the
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efficiency of the components during flue gas contact. The flows of SO2, O2, NO, CO2, CO, and N2
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were controlled with a six-way mass flow meter (D07), and H2O flow was controlled with a
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micro-syringe pump (LSP01-1A). To ensure that the atomized deionized water evaporated
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completely, the temperature of the mixed gases in the perfectly stirred reactor in the tubular
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furnace was increased to above 973 K during the experiment. The residence time of the mixed
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gases in the furnace was sufficiently long. The shortest residence time was determined by
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repeatedly measuring the mole fraction of H2O in the flue gas with a humidity instrument
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(RHS-500) under the same conditions. Then, the flue gas flowed through a heated tube connected
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in series to the perfectly stirred reactor and glass cooler, the temperature of which was increased to
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above the corresponding acid dew point by using an electric heating belt. The flue gas was cooled
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down to a temperature between its water and acid dew points by using an electro-thermostatic
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water cabinet (HH-2) as it passed through the glass cooler. As the flue gas cooled down,
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H2SO4/SO3 condensed on the inner surface. However, SO2 remained in the flue gas. To ensure that
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H2SO4/SO3 in the flue gas was collected completely, the glass cooler was made long enough for
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the experiment. Similar to the method of determining the shortest residence time, the shortest
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length of the glass cooler was determined by repeatedly measuring the collected S concentration
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through inductively coupled plasma-optical emission spectroscopy (iCAP 6300) under the same
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conditions. The SO3 concentration in flue gas was obtained after the collected S concentration was
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measured.
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During the experiment, while maintaining the flow rates of the flue gas, O2, and H2O at 1,
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0.05, and 0.05 L/min, respectively, different flue gas conditions were adjusted by keeping N2 as
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the balance component (Table 1). To comply with the actual flue gas in a coal-fired boiler, the
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mole fraction of SO2 ranged from 500 ppm to 2000 ppm, whereas the mole fractions of CO2, CO,
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and NO ranged from 0% to 15%, ppm to 1000 ppm, and 0 ppm to 500 ppm, respectively, during
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the experiment. In addition, to study the effect of temperature on SO3 concentration in the flue
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gas, the temperature of the flue gas in the perfectly stirred reactor was increased to 973, 1073,
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1173, and 1273 K, respectively, during the experiment.
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2.2 S balance method
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The S balance method is independent of experimental conditions and operator skill compared
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with other measuring methods reported in previous studies. Thus, a SO3 concentration measuring
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device was also built by referring to the S balance method to verify the measured SO3
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concentrations under different flue gas conditions based on the controlled condensation method.
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The effects of SO2, O2, H2O, NO, CO2, CO, temperature, and residence time on SO3 concentration
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in the flue gas were investigated, as shown in Figure 3. Similar to the procedure in the measuring
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device built according to the controlled condensation method, the formation of SO3 in the flue gas
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was simulated by heating mixed gases, including SO2, O2, NO, CO2, CO, and H2O, in a tubular
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furnace. However, unlike the measuring experiment based on the controlled condensation method,
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the SO2 concentrations in the gas mixture, including SO2, O2, NO, CO2, CO, and N2, were
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measured with a Fourier transform infrared spectrometer (Nicolet Antaris IGS) before the gases
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flowed through the perfectly stirred reactor during the experiment. The flue gas flowed through a
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heated tube connected in series to the perfectly stirred reactor and Fourier transform infrared
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spectrometer. The temperature was increased to above the corresponding acid dew point by using
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an electric heating belt. Then, the SO3 concentration in the flue gas was obtained as the difference
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between the SO2 concentration in the inlet and outlet of the flue gas after measuring the SO2
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concentration in the outlet of the flue gas.
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Similar to the measuring experiment based on the controlled condensation method, while
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maintaining the flow rate of flue gas at 1 L/min, different flue gas conditions were adjusted by
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keeping N2 as the balance component (Table 2). Moreover, to comply with the flue gas conditions
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in the experiment based on the controlled condensation method, the mole fractions of SO2, O2, and
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H2O ranged from 500 ppm to 2000 ppm, 1.25% to 5%, and 1.25% to 5%, respectively, whereas
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the mole fractions of CO2, CO, and NO ranged from 0% to 15%, 0 ppm to 1000 ppm, and 0 ppm
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to 500 ppm, respectively, during the experiment. Similar to the measuring experiment based on the
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controlled condensation method, the temperature of the flue gas in perfectly stirred reactor was
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increased to 973, 1073, 1173, and 1273 K to study the effect of temperature on SO3 concentration
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in the flue gas.
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3. MODELING WORK
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In addition to the experimental study on the effect of factors influencing SO3 in flue gas, an
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improved kinetic mechanism was built based on previously developed SO2/O2/H2O/CO2/CO/NO
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mechanisms to further study the effect of factors influencing SO3 in flue gas [17, 38]. SO3
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concentration in flue gas is mainly dependent on SO2, O2, H2O, CO2, CO, and NO concentrations,
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residence time, and temperature, except for boilers equipped with an SCR system using
202
V2O5/WO3 as catalysts and in which the alkali content in flue gas is relatively high [8, 25–28].
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Thus, the scope of the improved kinetic mechanism in the present study is limited to SO3
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produced in flue gas by homogenous gas-phase reactions and does not include heterogeneous
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absorption and catalytic reactions on the heat exchanger’s surfaces and ash particles. Compared
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with previously developed SO2/O2/H2O/CO2/CO/NO mechanisms in references [17, 38], several
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reactions and rate constants within the sulfur submechanism were modified to incorporate the
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combination of SO2 and/or SO3 with H, O, and OH radicals reported in previous references [31–
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38]. Yilmaz et al. [34] derived the rate constant for SO3 + N2 SO2 + O +N2 of
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5.7 ×1017 exp(−4000 / T ) cm3/(mol·s) for the temperature range of 1273 K to 1348 K and
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recommended a rate constant for SO3 + O SO2 + O2 of 7.8×10 exp(−3065/ T) cm3/(mol·s)
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for the temperature range of 1000 K to 1400 K based on measured data with a laminar flow
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reactor at atmospheric pressure. Hindiyarti et al. [35] investigated the reactions of SO3 with H, O,
214
and OH radicals via ab initio calculations and recommended the rate constants for SO3 + H
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HOSO2 OH + SO2 and SO3 + OH SO2 + HO2 of 8.4×10 T
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cm3/(mol·s) for the temperature range of 700 K to 2000 K and 4.8×10 T
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cm3/(mol·s) for the temperature range of 800 K to 2000 K. Moreover, through ab initio
218
calculations for several key reactions, Rasmussen et al. [33] found that the interaction of SO2 with
219
the radical pool in flue gas is more complex than what was previously assumed in past research,
220
including HOSO and SO at high temperatures and HSO, SH, and S. In addition, although the
221
C/H/O/N submechanism was mainly derived from the reaction mechanisms of Mueller et al. [17]
222
and Spencer et al. [38], it incorporates several important modifications from reference [39].
11
9 1.22
4
2.46
exp(−13900/ RT)
exp(−114100/ RT)
223
The improved SO2/O2/H2O/CO2/CO/NO mechanism in the present study was validated.
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Figure 4 provides a comparison of SO3 concentrations from flue gas numerical calculations based
225
on the improved reaction mechanism in the present work, the reaction mechanisms of Mueller et
226
al. [17] and Spencer et al. [38] with a perfectly stirred reactor system using the CHEMKIN-PRO
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software [40–41], and the measured results by Mueller et al. [17] under the flue gas conditions
228
listed in Table 3. As shown in Figure 4, the improved reaction mechanism in the present work
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produces numerically calculated SO3 concentrations in flue gas that are in better agreement with
230
the experimental data compared with the reaction mechanisms reported in references [17, 38]. To
231
further study the effect of factors influencing SO3 in the flue gas, the SO3 concentrations under the
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flue gas conditions listed in Table 4 with increasing residence time were numerically calculated
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with a perfectly stirred reactor system using the CHEMKIN-PRO software based on the improved
234
mechanism in the present work [40–41]. Similar to the measuring experiments based on the
235
controlled condensation and S balance methods, the numerically calculated flue gas temperature
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ranged from 973 K to 1273 K.
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4. RESULTS AND DISCUSSION
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4.1 Experimental results
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The SO3 concentrations under the different flue gas conditions listed in Table 1 at
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temperatures ranging from 973 K to 1073 K and measured based on the controlled condensation
242
method are shown in Table 5; those obtained at temperatures ranging from 1173 K to 1273 K are
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listed in Table 6. The SO3 concentrations under the different flue gas conditions listed in Table 2 at
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temperatures ranging from 973 K to 1273 K measured based on the S balance method are listed in
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Tables 7 to 10. As shown in Tables 5 to 10, the measurements based on the S balance method are
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generally better than those based on the controlled condensation method. Furthermore, the
247
measured results listed in Tables 5 and 6 show that the SO3 concentration in flue gas increased
248
linearly as SO2 concentration increased, and the mole fraction of SO2 ranged from 500 ppm to
249
2000 ppm at temperatures between 973 and 1273 K. Moreover, as CO emerged in the flue gas,
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SO3 concentration increased significantly at the same temperature range. Similarly, SO3
251
concentration increased significantly at temperatures ranging from 973 K to 1273 K when NO
252
emerged in the flue gas. However, CO2 did not exert any effect on SO3 concentration in flue gas
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compared with the two gases at the aforementioned temperature range.
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Similar to the measured results based on the controlled condensation method, the measured
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results listed in Tables 7 to 10 also show that the SO3 concentration in flue gas linearly increased
256
as SO2 concentration increased based on the measured results with the S balance method. The
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mole fraction of SO2 ranged from 500 ppm to 2000 ppm at temperatures between 973 and 1273 K.
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As CO and NO emerged in the flue gas, SO3 concentration increased significantly at temperatures
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ranging from 973 K to 1273 K. Moreover, similar to the measured results based on the controlled
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condensation method, CO2 exerted little effect on SO3 concentration in the flue gas at said
261
temperature range. According to the measured results with the S balance method, SO3
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concentration in flue gas increased nonlinearly as O2 concentration increased. The mole fraction of
263
O2 ranged from 1.25% to 5% at temperatures between 973 and 1273 K. The increasing slope of
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SO3 concentration decreased with increased O2 concentration at high temperatures. For the effect
265
of H2O concentration in flue gas, SO3 concentration increased significantly as H2O emerged in the
266
flue gas at the set temperature range. However, a decreasing trend was observed as H2O
267
concentration increased. The mole fraction of H2O in flue gas ranged from 1.25% to 5% at the
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aforementioned temperature range.
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4.2 Modeling results
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The SO3 concentrations in flue gas under the different flue gas conditions listed in Table 4 at
271
temperatures ranging from 973 K to 1273 K and with increasing residence time are shown in
272
Figures 5 to 10. These concentrations were numerically calculated based on the improved reaction
273
mechanism in the present work, the reaction mechanisms of Mueller et al. [17], and the
274
mechanism of Spencer et al. [38] with a perfectly stirred reactor system using the
275
CHEMKIN-PRO software [40–41]. Although the discrepancies between the numerically
276
calculated SO3 concentrations in flue gas and the experimental results are relatively large, the
277
improved reaction mechanism in the present work produces numerical calculations that are
278
relatively in better agreement with the experimental data compared with the reaction mechanisms
279
reported in references [17, 38]. Furthermore, as shown in Figure 5, similar to the measured results
280
based on controlled condensation and S balance methods, SO3 concentration in flue gas linearly
281
increased as SO2 concentration increased. The mole fraction of SO2 ranged from 500 ppm to 2000
282
ppm at temperatures between 973 and 1273 K. SO3 concentration increased significantly as CO
283
and NO emerged in the flue gas, whereas CO2 exerted little effect on SO3 concentration in the flue
284
gas at the aforementioned temperature range (Figures 8 to 10). As shown in Figure 6, SO3
285
concentration in flue gas increased nonlinearly as O2 concentration increased. The mole fraction of
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O2 ranged from 1.25% to 21% at temperatures between 973 and 1273 K. SO3 concentration in flue
287
gas decreased as H2O concentration increased, and the mole fraction of H2O ranged from 1.25% to
288
5% at temperatures between 973 and 1273 K (Figure 7). Moreover, SO3 concentration in the flue
289
gas underwent three stages of sharp increase, slow increase, and gradual decrease as the residence
290
time increased. The residence time reached 8.2075 s at temperatures ranging from 973 K to 1273
291
K.
292
The logarithmic sensitivity coefficients of the 11 most important reactions influencing SO3
293
concentration were calculated. With the mole fraction of O2 ranging from 1.25% to 5% at 1073 K,
294
the values were numerically calculated based on the improved reaction mechanism in the present
295
work as well as the reaction mechanisms of Spencer et al. [38] and Mueller et al. [17] with a
296
perfectly stirred reactor system using the CHEMKIN-PRO software [40–41]; the calculated values
297
are shown in Figures 11 to 13, respectively. The logarithmic sensitivity coefficient (Fsen,R) can be
298
calculated as
Fsen,R =
299
∂ ln m , ∂ ln k
(1)
300
where m is SO3 concentration in flue gas and k is the pre-exponential factor of the Arrhenius
301
formula. When the logarithmic sensitivity coefficient is greater than zero, the reaction results in an
302
increase in SO3 concentration; otherwise, SO3 concentration decreases. As shown in Figures 11 to
303
13, SO2, O2, H2O, CO, and NO exerted a significant effect on SO3 concentration in flue gas
304
compared with CO2. The effect of the influencing factors, namely, SO2, O2, H2O, CO, and NO, on
305
SO3 concentration can be attributed to the fact that the concentrations of H, O, and OH radicals
306
changed.
307
Moreover, the reaction rates of the 11 most important reactions influencing SO3 concentration
308
were calculated with the mole fraction of O2 ranging from 1.25% to 5% at a temperature of 1073
309
K. The rates were numerically calculated based on the improved reaction mechanism in the
310
present work, the reaction mechanism of Spencer et al. [38], and the reaction mechanism of
311
Mueller et al. [17] with a perfectly stirred reactor system using the CHEMKIN-PRO software [40–
312
41]; the calculated rates are shown in Figures 14 to 16, respectively. The reaction rates of the 11
313
most important reactions influencing SO3 concentration underwent three different stages, which
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314
explains why SO3 concentration in the flue gas underwent three stages of sharp increase, slow
315
increase, and gradual decrease as the residence time increased.
316 317
5. SUMMARY AND CONCLUSIONS
318
In this study, SO3 concentrations under different flue gas conditions were measured with a
319
measuring device built based on the controlled condensation method and another device built
320
based on the S balance method. The effects of SO2, O2, H2O, NO, CO2, CO, temperature, and
321
residence time on SO3 concentration in flue gas were investigated at temperatures ranging from
322
973 K to 1273 K. To further study the effect of the influencing factors on SO3 in flue gas, an
323
improved SO2/O2/H2O/CO2/CO/NO kinetic mechanism was built based on previous research
324
achievements. The mechanism was validated with experimental data and kinetic mechanisms
325
reported in previous studies. Moreover, the SO3 concentrations under the flue gas conditions
326
mentioned above with increasing residence time were numerically calculated based on the
327
improved kinetic mechanism presented in this work. The results measured with the controlled
328
condensation and S balance methods as well as the numerically calculated results in the present
329
work showed that SO3 concentration in the flue gas experienced three stages of sharp increase,
330
slow increase, and gradual decrease as the residence time increased. The residence time reached
331
8.2075 s at temperatures ranging from 973 K to 1273 K. SO3 concentration in the flue gas
332
increased linearly as SO2 concentration increased. The mole fraction of SO2 ranged from 500 ppm
333
to 2000 ppm. However, it increased nonlinearly as O2 concentration increased, with the mole
334
fraction of O2 in flue gas ranging from 1.25% to 21% at temperatures between 973 and 1273 K.
335
For the effect of H2O concentration in flue gas, SO3 concentration increased significantly as H2O
336
emerged; however, it decreased as H2O concentration increased, with the mole fraction ranging
337
from 1.25% to 5% and at temperatures between 973 and 1273 K. In addition, SO3 concentration in
338
the flue gas increased significantly as CO and NO emerged in the flue gas. CO2 exerted little
339
effect at temperatures ranging from 973 K to 1273 K.
340
In this study, the scope of the factors that influence SO3 in flue gas is limited only to SO3
341
produced in flue gas by homogenous gas-phase reactions and does not include heterogeneous
342
absorption and catalytic reactions on the heat exchanger’s surfaces and ash particles. However,
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several researchers have argued that these exert a significant effect on SO3 concentration in flue
344
gas. Therefore, future research should focus on the effect of heterogeneous absorption and
345
catalytic reactions on the heat exchanger’s surfaces and ash particles in flue gas, including alkali
346
metals, V2O5, WO3, and Fe2O3.
347 348
AUTHOR INFORMATION
349
Corresponding author
350
*E-mail address:
[email protected] (J. Lu). Tel.: +86-01-62792647
351
Notes
352
The authors declare no competing financial interest.
353 354 355 356
ACKNOWLEDGEMENTS The financial support provided by the National Program on Key Basic Research Project (973 Program) of China (No. 2014CB744305) is gratefully acknowledged.
357 358
REFERENCES
359
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(4) Xiang, B. X.; Zhang, M.; Yang, H. R.; Lu, J. F. Prediction of Acid Dew Point in Flue Gas of Boilers Burning Fossil Fuels. Energy Fuels 2016, 30(4): 3365-3373. (5) Xiang, B. X.; Tang, B.; Wu, Y. X.; Yang, H. R.; et al. Predicting Acid Dew Point with A Semi-empirical Model. Appl. Therm. Eng. 2016, 106(5), 992-1001. (6) Moser, R. E. SO3's impacts on plant O&M: Part I. Power 2006, 150(8): 40-40.
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(10) Qi, L. Q.; Yuan, Y. T.; Shi, Y. W. Influence of SO3 on Electrostatic Precipitation of Fine
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Particles in Flue Gas. Journal of Chinese Society of Power Engineering 2011, 31(7), 539-543
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(11) Lisle, E. S.; Sensenbaugh, J. D. The determination of sulfur trioxide and acid dew point in flue gases. Combustion 1965, 36(1), 12-16. (12) Cheney, J. L.; Homolya, J. B. Sampling parameters for sulfate measurement and characterization. Environ. Sci. Technol. 1979, 13(5), 584-588. (13) Fleig, D.; Vainio, E.; Andersson, K.; et al. Evaluation of SO3 measurement techniques in air and oxy-fuel combustion. Energy Fuels 2012, 26(9), 5537-5549. (14) Zhang, Y. Research and application of SO3 measurement in flue gas. Zhejiang University, 2013 (in Chinese).
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(15) Xiao, Y. T.; Jia, M.; Xu, L.; et al. The Analytic Method of Sulfur Trioxide and Sulfuric Acid
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Mist in Flue Gas. Environmental Science and Technology 2012, 25(5), 43-48 (in Chinese).
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(16) Guo, Y.; Li, Y.; Wang, Y. W.; et al. Comparison of SO3 Testing and Sampling Methods in
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Flue Gas for SCR Denitration System. Electric Power Construction 2013, 34(6), 69-72 (in
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(17) Mueller, M. A.; Yetter, R. A.; Dryer, F. L. Kinetic modeling of the CO/H2O/O2/NO/SO2
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system: Implications for high-pressure fall-off in the SO2+ O (+ M) = SO3 (+ M)
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reaction. Int. J. Chem. Kinet. 2000, 32(6), 317-339.
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(18) Fleig, D.; Andersson, K.; Johnsson, F.; et al. Conversion of sulfur during pulverized oxy-coal combustion. Energy Fuels 2011, 25(2), 647-655.
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(19) Cooper, D.; Andersson, C. Bestämning av SO3 i Rökgaser med NaCl-metoden-en Jämförelse
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av Olika Metoder, Värmeforsk Report 616; Institutet för Vattenoch Luftvaårdsforskning
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online:
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(20) Vainio, E.; Fleig, D.; Brink, A.; Andersson, K.; Johnsson, F.; et al. Experimental evaluation
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and field application of a salt method for SO3 measurement in flue gases. Energy Fuels
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2013, 27(5), 2767-2775.
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(21) Jaworowski, R. J.; Mack, S. S. Evaluation of Methods for Measurement of S03/H2S04 in Flue Gas. Journal of the Air Pollution Control Association 1979, 29(1), 43-46.
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(22) Wieder, R. K.; Lang, G. E.; Granus, V. A. An evaluation of wet chemical methods for
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quantifying sulfur fractions in freshwater wetland peat. Limnol. Oceanogr. 1985, 30(5),
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1109-1115.
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(23) Liu, K.; Pan, W. P.; Riley, J. T. A study of chlorine behavior in a simulated fluidized bed combustion system. Fuel 2000, 79(9), 1115-1124. (24) Xie, W.; Liu, K.; Pan, W. P.; et al. Interaction between emissions of SO2 and HCl in fluidized bed combustors. Fuel 1999, 78(12), 1425-1436. (25) Reidick, H.; Reifenhauser, R. Catalytic SO3 formation as function of boiler fouling. Combustion 1980, 51(8), 17-21.
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(26) Belo, L. P.; Elliott, L. K.; Stanger, R. J.; et al. High-Temperature Conversion of SO2 to SO3:
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Homogeneous Experiments and Catalytic Effect of Fly Ash from Air and Oxy-fuel firing.
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Energy Fuels 2014, 28 (11), 7243-7251.
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(27) Spörl, R.; Walker, J.; Belo, L.; et al. SO3 Emissions and Removal by Ash in Coal-Fired Oxy-Fuel Combustion. Energy Fuels 2014, 28 (8), 5296-5306. (28) Jørgensen, T. L.; Livbjerg, H.; Glarborg, P. Homogeneous and heterogeneously catalyzed oxidation of SO2. Chem. Eng. Sci. 2007, 62(16), 4496-4499. (29) Ahn, J.; Okerlund, R.; Fry, A.; et al. Sulfur trioxide formation during oxy-coal combustion. Int. J. Greenh. Gas Control 2011, 5, S127-S135.
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(30) Fleig, D.; Alzueta, M. U.; Normann, F.; et al. Measurement and modeling of sulfur trioxide
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formation in a flow reactor under post-flame conditions. Combust. Flame 2013, 160(6),
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1142-1151.
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(31) Alzueta, M. U.; Bilbao, R.; Glarborg, P. Inhibition and sensitization of fuel oxidation by SO2. Combust. Flame 2001, 127(4), 2234-2251.
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(32) Giménez-López, J.; Martínez, M.; Millera, A.; et al. SO2 effects on CO oxidation in a CO2
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atmosphere, characteristic of oxy-fuel conditions. Combust. Flame 2011, 158(1), 48-56.
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(33) Rasmussen, C. L.; Glarborg, P.; Marshall, P. Mechanisms of radical removal by SO2. Proc.
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Combust. Inst. 2007, 31(1), 339-347. (34) Yilmaz, A.; Hindiyarti, L.; Jensen, A. D.; et al. Thermal dissociation of SO3 at 1000-1400 K. The Journal of Physical Chemistry A 2006, 110(21), 6654-6659.
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(35) Hindiyarti, L.; Glarborg, P.; Marshall, P. Reactions of SO3 with the O/H radical pool under
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combustion conditions. The Journal of Physical Chemistry A 2007, 111(19), 3984-3991.
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(36) Sendt, K.; Jazbec, M.; Haynes, B. S. Chemical kinetic modeling of the H/S system: H2S
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thermolysis and H2 sulfidation. Proc. Combust. Inst. 2002, 29(2), 2439-2446. (37) Allen, M. T.; Yetter, R. A.; Dryer, F. L. High pressure studies of moist carbon monoxide/nitrous oxide kinetics. Combust. Flame 1997, 109(3), 449-470.
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(38) Spencer, H.; Romero, C.; Levy, E.; Yao, Z.; Bilirgen, H.; Caram, H. Modeling of SO3
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Formation Process in coal-fired boilers. Electic Power Research Institute, Palo Alto, CA:
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1012689, 2007.
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(39) Smith, G.P.; Golden, D. M.; Frenklach, M.; Moriarty, N. W.; Eiteneer, B.; Goldenberg, M.;
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Bowman, C.T.; Hanson, R. K.; Song, S.; Lissianski, V. V.; Qin, Z. available at:
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http://www.me.berkeley.edu/gri_mech/.
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(40) Kee, R. J.; Rupley, F. M.; Miller, J. A. The Chemkin Thermodynamic Data Base, Sandia Report SAND87-8215B, Livermore, CA, 1987. (41) Chemkin-Pro. Release 15101, Reaction Design, San Diego.
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452
LIST OF TABLES
453
1. Table 1. Experimental flue gas conditions for the controlled condensation method
454
2. Table 2. Experimental flue gas conditions for the S balance method
455
3. Table 3. Experimental flue gas conditions in reference [17]
456
4. Table 4. Numerically calculated flue gas conditions
457
5. Table 5. Experimental results at 973 K to 1073 K for the controlled condensation method
458
6. Table 6. Experimental results at 1173 K to 1273 K for the controlled condensation method
459
7. Table 7. Experimental results at 973 K for the S balance method
460
8. Table 8. Experimental results at 1073 K for the S balance method
461
9. Table 9. Experimental results at 1173 K for the S balance method
462
10. Table 10. Experimental results at 1273 K for the S balance method
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Table 1. Experimental flue gas conditions for the controlled condensation method
463
SO2
O2
CO2
CO
NO
H2 O
N2
ppm
%
%
ppm
ppm
%
%
1
500
5
15
1000
500
5
74.80
2
1000
5
15
1000
500
5
74.75
3
1500
5
15
1000
500
5
74.70
4
2000
5
15
1000
500
5
74.65
5
2000
5
0
0
0
5
89.80
6
2000
5
0
1000
500
5
89.65
7
2000
5
15
0
500
5
74.75
8
2000
5
15
1000
0
5
74.70
9
2000
5
0
0
500
5
89.75
10
2000
5
15
0
0
5
74.80
11
2000
5
0
1000
0
5
89.70
No.
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Energy & Fuels
Table 2. Experimental flue gas conditions for the S balance method
464 No.
SO2
O2
CO2
CO
NO
H2O
N2
ppm
%
%
ppm
ppm
%
%
1
0
5
15
1000
500
5
74.85
2
500
5
15
1000
500
5
74.80
3
1000
5
15
1000
500
5
74.75
4
1500
5
15
1000
500
5
74.70
5
2000
5
15
1000
500
5
74.65
6
2000
0
15
1000
500
5
79.65
7
2000
1.25
15
1000
500
5
78.40
8
2000
2.5
15
1000
500
5
77.15
9
2000
3.75
15
1000
500
5
75.90
10
2000
5
15
1000
500
0
79.65
11
2000
5
15
1000
500
1.25
78.40
12
2000
5
15
1000
500
2.5
77.15
13
2000
5
15
1000
500
3.75
75.90
14
2000
5
0
0
0
5
89.80
15
2000
5
0
1000
500
5
89.65
16
2000
5
15
0
500
5
74.75
17
2000
5
15
1000
0
5
74.70
18
2000
5
0
0
500
5
89.75
19
2000
5
15
0
0
5
74.80
20
2000
5
0
1000
0
5
89.70
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Page 20 of 44
Table 3. Experimental flue gas conditions in reference [17]
465 Pressure
Temperature
CO
O2
H2O
NO
SO2
N2
atm
K
%
%
%
ppm
ppm
%
1.2
950
0.51
0.75
0.49
97
496
98.1907
3.0
954
0.52
0.76
0.48
99
504
98.1797
6.5
952
0.52
0.75
0.48
97
484
98.1919
10
951
0.51
0.75
0.48
103
478
98.2019
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Energy & Fuels
Table 4. Numerically calculated flue gas conditions
466
SO2
O2
CO2
CO
NO
H2 O
N2
ppm
%
%
ppm
ppm
%
%
0
5
15
1000
500
5
74.85
2
500
5
15
1000
500
5
74.80
3
1000
5
15
1000
500
5
74.75
4
1500
5
15
1000
500
5
74.70
5
2000
5
15
1000
500
5
74.65
6
2000
0
15
1000
500
5
79.65
7
2000
1.25
15
1000
500
5
78.40
8
2000
2.5
15
1000
500
5
77.15
9
2000
3.75
15
1000
500
5
75.90
10
2000
8
15
1000
500
5
71.65
11
2000
11
15
1000
500
5
68.65
12
2000
14
15
1000
500
5
65.65
13
2000
17
15
1000
500
5
62.65
14
2000
21
15
1000
500
5
58.65
15
2000
5
15
1000
500
0
79.65
16
2000
5
15
1000
500
1.25
78.40
17
2000
5
15
1000
500
2.5
77.15
18
2000
5
15
1000
500
3.75
75.90
19
2000
5
0
0
0
5
89.80
20
2000
5
0
1000
500
5
89.65
21
2000
5
3
1000
500
5
86.65
22
2000
5
6
1000
500
5
83.65
23
2000
5
9
1000
500
5
80.65
24
2000
5
12
1000
500
5
77.65
25
2000
5
15
0
500
5
74.75
26
2000
5
15
200
500
5
74.73
No. 1
27
2000
5
15
400
500
5
74.71
28
2000
5
15
600
500
5
74.69
29
2000
5
15
800
500
5
74.67
30
2000
5
15
1000
0
5
74.70
31
2000
5
15
1000
100
5
74.69
32
2000
5
15
1000
200
5
74.68
33
2000
5
15
1000
300
5
74.67
34
2000
5
15
1000
400
5
74.66
35
2000
5
0
0
500
5
89.75
36
2000
5
15
0
0
5
74.80
37
2000
5
0
1000
0
5
89.70
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Page 22 of 44
Table 5. Experimental results at 973 K to 1073 K for the controlled condensation method Time
Temperature
Volume
S
SO3
s
℃
mL
µg/mL
ppm
1
89
60
115
−
−
2
95
60
115
0.0248
1.2609
3
89
60
120
0.0323
1.8291
4
86
60
140
0.0485
3.3160
5
90
60
140
0.0340
2.2213
6
90
60
130
0.0380
2.3053
7
88
60
125
0.0330
1.9688
Test case
973 K
1073 K
8
92
60
150
0.0275
1.9038
19
90
60
130
0.0305
1.8503
10
89
60
150
0.0328
2.3218
11
94
60
175
0.0322
2.5178
1
150
60
120
0.0586
1.9690
2
120
60
135
0.0457
2.1593
3
83
60
120
0.041
2.4896
4
93
60
155
0.0597
4.1790
5
88
60
120
0.0476
2.7262
6
90
60
110
0.0373
1.9147
7
84
60
125
0.0764
4.7750
8
87
60
140
0.0629
4.2512
19
96
60
145
0.0519
3.2924
10
89
60
155
0.0413
3.0209
11
87
60
140
0.0583
3.9403
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Energy & Fuels
468
Table 6. Experimental results at 1173 K to 1273 K for the controlled condensation method Time
Temperature
Volume
S
SO3
s
℃
mL
µg/mL
ppm
1
89
60
165
0.0570
4.4383
2
90
60
130
0.0886
5.3751
3
89
60
135
0.1702
10.8431
4
84
60
125
0.2654
16.5875
5
89
60
110
0.1105
5.7361
6
89
60
120
0.0748
4.2359
7
86
60
150
0.1607
11.7722
8
103
60
105
0.4578
19.6010
19
85
60
125
0.0657
4.0579
10
84
60
145
0.0809
5.8653
11
92
60
140
0.0584
3.7325
1
158
60
170
0.1499
6.7740
2
114
60
145
0.2170
11.5924
3
86
60
170
−
−
4
80
60
185
−
−
5
88
60
170
0.0887
7.1968
6
91
60
130
0.1213
7.2780
7
105
60
145
0.3296
19.1168
8
91
60
170
0.0568
4.4566
19
94
60
210
0.1083
10.1618
10
144
60
175
0.4284
21.8663
11
91
60
225
0.1229
12.7627
Test case
1173 K
1273 K
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Page 24 of 44
Table 7. Experimental results at 973 K for the S balance method
469
SO2 in feed gas
SO2 in flue gas
SO3 in flue gas
Mean value
ppm
ppm
ppm
ppm
566.80
563.16
3.64
563.28
559.98
3.30
1062.39
1052.10
10.29
1060.19
1054.85
5.34
1541.87
1526.58
15.29
1537.24
1517.84
19.40
1779.63
1757.44
22.19
1778.09
1761.07
17.02
1779.63
1774.24
5.39
1778.09
1773.93
4.16
1779.63
1765.69
13.94
1778.09
1766.20
11.89
1779.63
1759.60
20.03
1778.09
1764.84
13.25
1871.51
1866.35
5.16
1869.97
1865.44
4.53
1871.51
1841.40
30.11
1869.97
1844.45
25.52
1871.51
1845.03
26.48
1869.97
1845.06
24.91
1871.51
1850.00
21.51
1869.97
1849.72
20.25
1779.63
1764.11
15.52
1778.09
1762.28
15.81
1972.74
1950.05
22.69
1971.20
1946.23
24.97
1880.86
1872.08
8.78
1879.32
1875.38
3.94
1871.51
1858.72
12.79
1869.97
1859.72
10.25
1880.86
1875.41
5.45
1879.32
1871.28
8.04
1779.63
1774.54
5.09
1778.09
1773.50
4.59
1871.51
1864.02
7.49
1869.97
1864.45
5.52
Test case
2
3
4
5
7
8
9
10
11 973 K 12
13
14
15
16
17
18
19
20
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3.47
7.82
17.35
19.61
4.78
12.92
16.64
4.85
27.82
26.70
20.88
15.67
23.83
6.41
11.52
6.75
4.84
6.51
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Energy & Fuels
Table 8. Experimental results at 1073 K for the S balance method
470
SO2 in feed gas
SO2 in flue gas
SO3 in flue gas
Mean value
ppm
ppm
ppm
ppm
451.34
446.38
4.96
445.17
440.57
4.60
1002.78
989.26
13.52
1004.98
993.77
11.21
1372.85
1360.39
12.46
1377.74
1369.09
8.65
1875.72
1852.31
23.41
1876.74
1855.78
20.96
1875.72
1870.11
5.61
1876.74
1872.50
4.24
2030.78
2021.59
9.19
2031.80
2021.67
10.13
2113.19
2099.53
13.66
2114.21
2101.93
12.28
2030.78
2027.87
2.91
2031.80
2025.84
5.96
2113.19
2084.96
28.23
2114.21
2088.00
26.21
2113.19
2086.16
27.03
2114.21
2086.94
27.27
2008.91
1984.21
24.70
2004.27
1981.36
22.91
1779.95
1774.76
5.19
1775.31
1767.95
7.36
1958.13
1933.23
24.90
1959.15
1936.48
22.67
1936.26
1908.65
27.61
1931.62
1906.40
25.22
1935.01
1928.08
6.93
1930.37
1925.47
4.90
1779.95
1775.79
4.16
1775.31
1777.40
0
1779.95
1778.17
1.78
1775.31
1769.42
5.89
1935.01
1927.80
7.21
1930.37
1925.42
4.95
Test case
2
3
4
5
7
8
9
10
11 1073 K 12
13
14
15
16
17
18
19
20
ACS Paragon Plus Environment
4.78
12.37
10.56
22.19
4.93
9.66
12.97
4.44
27.22
27.15
23.81
6.28
23.79
26.42
5.92
2.08
3.84
6.08
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Page 26 of 44
Table 9. Experimental results at 1173 K for the S balance method
471
SO2 in feed gas
SO2 in flue gas
SO3 in flue gas
Mean value
ppm
ppm
ppm
ppm
670.66
661.33
9.33
666.13
659.02
7.11
1201.47
1187.07
14.40
1200.04
1190.33
9.71
1561.58
1545.38
16.20
1558.85
1537.11
21.74
2004.53
1971.40
33.13
1998.64
1967.92
30.72
2004.53
1992.02
12.51
1998.64
1988.33
10.31
2004.53
1985.22
19.31
1998.64
1982.80
15.84
2004.53
1978.63
25.90
1998.64
1975.09
23.55
2004.53
1994.40
10.13
1998.64
1984.00
14.64
2004.53
1952.59
51.94
1998.64
1943.67
54.97
2004.53
1961.33
43.20
1998.64
1958.10
40.54
2004.53
1963.11
41.42
1998.64
1958.43
40.21
1888.20
1871.79
16.41
1882.31
1868.00
14.31
1888.20
1851.97
36.23
1882.31
1852.11
30.20
1888.20
1865.92
22.28
1882.31
1862.60
19.71
1888.20
1877.31
10.89
1882.31
1874.53
7.78
1888.20
1876.09
12.11
1882.31
1875.13
7.18
1888.20
1879.60
8.60
1882.31
1872.91
9.40
1888.20
1878.09
10.11
1882.31
1875.30
7.01
Test case
2
3
4
5
7
8
9
10
11 1173 K 12
13
14
15
16
17
18
19
20
ACS Paragon Plus Environment
8.22
12.06
18.97
31.93
11.41
17.58
24.73
12.39
53.46
41.87
40.82
15.36
33.22
21.00
9.34
9.66
9.00
8.56
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Energy & Fuels
Table 10. Experimental results at 1273 K for the S balance method
472
SO2 in feed gas
SO2 in flue gas
SO3 in flue gas
Mean value
ppm
ppm
ppm
ppm
465.75
454.90
10.85
460.48
450.82
9.66
1094.54
1079.01
15.53
1090.69
1072.28
18.41
1644.31
1617.18
27.13
1645.23
1620.67
24.56
2189.19
2152.11
37.08
2186.12
2143.16
42.96
2189.19
2174.34
14.85
2186.12
2170.06
16.06
2189.19
2178.88
10.31
2186.12
2177.14
8.98
2189.19
2150.11
39.08
2186.12
2144.33
41.79
2189.19
2179.15
10.04
2186.12
2171.05
15.07
2189.19
2131.47
57.72
2186.12
2121.51
64.61
2189.19
2139.40
49.79
2186.12
2133.77
52.35
2189.19
2145.43
43.76
2186.12
2140.75
45.37
1992.83
1967.81
25.02
1989.76
1974.88
14.88
2189.19
2146.96
42.23
2186.12
2143.70
42.42
2107.94
2050.52
57.42
2115.58
2061.28
54.30
2071.64
2059.83
11.81
2079.28
2071.01
8.27
2107.94
2094.97
12.97
2115.58
2099.13
16.45
1991.61
1954.46
37.15
1999.25
1953.50
45.75
2071.64
2058.94
12.70
2079.28
2071.05
8.23
Test case
2
3
4
5
7
8
9
10
11 1273 K 12
13
14
15
16
17
18
19
20
ACS Paragon Plus Environment
10.26
16.97
25.85
40.02
15.46
9.65
40.44
12.56
61.17
51.07
44.57
19.95
42.33
55.86
10.04
14.71
41.45
10.47
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473
LIST OF FIGURES
474
1. Figure 1. SO3 concentration measurement apparatus based on the controlled concentration
475
method
476
2. Figure 2. Perfectly stirred reactor
477
3. Figure 3. SO3 concentration measurement apparatus based on the S balance method
478
4. Figure 4. Comparison of the values predicted using the reaction mechanisms and previous
479
experimental data [17]
480
5. Figure 5. Effect of SO2 and residence time on SO3 in flue gas at 973 K to 1273 K
481
6. Figure 6. Effect of O2 and residence time on SO3 in flue gas at 973 K to 1273 K
482
7. Figure 7. Effect of H2O and residence time on SO3 in flue gas at 973 K to 1273 K
483
8. Figure 8. Effect of CO2 and residence time on SO3 in flue gas at 973 K to 1273 K
484
9. Figure 9. Effect of CO and residence time on SO3 in flue gas at 973 K to 1273 K
485
10. Figure 10. Effect of NO and residence time on SO3 in flue gas at 973 K to 1273 K
486
11. Figure 11. Sensitivity coefficients of the 11 most sensitive reactions in the present model at
487
1073 K
488
12. Figure 12. Sensitivity coefficients of the 11 most sensitive reactions in the EPRI model at
489
1073 K
490
13. Figure 13. Sensitivity coefficients of the 11 most sensitive reactions in the Mueller model at
491
1073 K
492
14. Figure 14. Reaction rates of the 11 most sensitive reactions in the present model with the
493
residence time increasing at 1073 K
494
15. Figure 15. Reaction rates of the 11 most sensitive reactions in the EPRI model with the
495
residence time increasing at 1073 K
496
16. Figure 16. Reaction rates of the 11 most sensitive reactions in the Mueller model with the
497
residence time increasing at 1073 K
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498
Figure 1. SO3 concentration measurement apparatus based on the controlled concentration method (1) standard gas, (2) syringe pump, (3) nebulizer, (4) mixing chamber, (5) temperature instrument, (6) glass cooler, (7) electro-thermostatic water cabinet, (8) ammeter, (9) perfectly stirred reactor, (10) tubular furnace, (11) voltmeter
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499
Figure 2. Perfectly stirred reactor (1) reaction chamber, (2) thermocouple, (3) spiral nozzle
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500
Figure 3. SO3 concentration measurement apparatus based on the S balance method (1) standard gas, (2) syringe pump, (3) nebulizer, (4) mixing chamber, (5) temperature instrument, (6) ammeter, (7) perfectly stirred reactor, (8) tubular furnace, (9) voltmeter, (10) computer, (11) Fourier transform infrared spectrometer
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501 502
Figure 4. Comparison of the values predicted using the reaction mechanisms and previous experimental data [17]
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503
Figure 5. Effect of SO2 and residence time on SO3 in flue gas at 973 K to 1273 K
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504
Figure 6. Effect of O2 and residence time on SO3 in flue gas at 973 K to 1273 K
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505
Figure 7. Effect of H2O and residence time on SO3 in flue gas at 973 K to 1273 K
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506
Figure 8. Effect of CO2 and residence time on SO3 in flue gas at 973 K to 1273 K
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507
Figure 9. Effect of CO and residence time on SO3 in flue gas at 973 K to 1273 K
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508
Figure 10. Effect of NO and residence time on SO3 in flue gas at 973 K to 1273 K
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509 510
Figure 11. Sensitivity coefficients of the 11 most sensitive reactions in the present model at 1073 K
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511
Figure 12. Sensitivity coefficients of the 11 most sensitive reactions in the EPRI model at 1073 K
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512 513
Figure 13. Sensitivity coefficients of the 11 most sensitive reactions in the Mueller model at 1073 K
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514 515
Figure 14. Reaction rates of the 11 most sensitive reactions in the present model with the residence time increasing at 1073 K
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516 517
Figure 15. Reaction rates of the 11 most sensitive reactions in the EPRI model with the residence time increasing at 1073 K
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518 519
Figure 16. Reaction rates of the 11 most sensitive reactions in the Mueller model with the residence time increasing at 1073 K
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