Open access peer-reviewed chapter

Bituminous Coal Combustion with New Insights

By Guan-Fu Pan, Hong-De Xia and Zhen-Yu Tian

Submitted: October 15th 2015Reviewed: May 9th 2016Published: October 5th 2016

DOI: 10.5772/64136

Downloaded: 621

Abstract

As one of the most important primary energy, bituminous coal has been widely applied in many fields. The combustion studies of bituminous coal have attracted a lot of attention due to the releases of hazardous emissions. This work focuses on the investigation of combustion characteristics of Shenmu bituminous pulverized coal as a representative bituminous coal in China with a combined TG-MS-FTIR system by considering the effect of particle size, heating rate, and the total flow rate. The combustion products were accurately quantified by normalization and numerical analysis of MS results. The results indicate that the decrease of the particle size, heating rate, and the total flow rate result in lower ignition and burnout temperatures. The activation energy tends to be lower with smaller particle size, faster heating rate, and lower total flow rate. The MS and FTIR results demonstrate that lower concentrations of different products, such as NO, NO2, HCN, CH4, and SO2, were produced with smaller particle size, slower heating rate, and lower total flow rate. This work will guide to understand the combustion kinetics of pulverized coals and be beneficial to control the formation of pollutants.

Keywords

  • bituminous coal
  • combustion characteristics
  • TG-MS-FTIR technique
  • particle size
  • heating rate
  • flow rate

1. Introduction

Coal is one of the most important primary energy for last whole century and future decades. As the foundation of the application of coal, the research on bituminous coal combustion has never been stopped. Different kinds of bituminous coals with multitudinous research instruments and methods for the investigation of coal combustion characteristics have been carried out for years. Peng and Wu [1] studied the bromine release from bituminous coal during combustion. They used the sequential chemical extraction method to investigate the modes of occurrence of bromine in bituminous coal by a tube furnace. The results showed that the bromine release rate increased with the increase of temperature, and 500–900°C was the main stage of bromine release. They also concluded that water vapor can promote the Br release and the additive of SiO2 can capture the bromine effectively in the process of the coal combustion. Tsuji et al. [2] studied the combustion emission of one bituminous coal from Australia and two high-ash coals from South Africa on different blending ratios by an advanced low NOx burner. They concluded that the NOx emission characteristic from bituminous coals was similar to these two high-ash coals. The combustion efficiencies on the bituminous coals were higher than those of the high-ash coals. Molina and Shaddix [3] studied the influence of enhanced oxygen levels and CO2 bath gas on single-particle pulverized coal ignition of a U.S. eastern bituminous coal. For the ignition process observed in the experiments, the CO2 results were explained by its higher molar specific heat and the O2 results were explained by the effect of O2 concentration on the local mixture reactivity. The experiments showed that a lower O2 concentration and the presence of CO2 increased the ignition delay time but had no measurable influence on the time of complete volatile combustion. Gao et al. [4] performed an online analysis of the soot emissions from the Inner Mongolia bituminous coal combustion and pyrolysis processes with a vacuum ultraviolet photoionization aerosol time-of-flight mass spectrometer. They concluded that at lower oven temperatures (<873 K), the soot particles generated in combustion processes contained more oxygen-containing PAHs (O-PAHs). At high temperatures, however, the soot particles from combustion contained mainly PAHs without any functional groups. Yu et al. [5] studied the characteristics of char particles and their effects on the emission of particulate matter (PM) from the combustion of a Chinese bituminous coal in a laboratory-scale drop tube furnace. The coal samples were subjected to combusted in 20 and 50% O2 at 1373, 1523, and 1673 K, respectively. The results showed that coal particle size and pyrolysis temperature had a significant influence on the char characteristics. The influence of combustion temperature on supermicron-sized PM emission greatly depended on the oxygen concentration. Among various kinds of bituminous coals, the Shenmu bituminous coal (SBC) has been adopted as one of the most widely used bituminous coals in China [68] since it has the advantages of excellent thermal stability, high calorie, and huge reserves. The investigation of the combustion characteristics is essential to understand the combustion process and control the pollutant products.

In recent years, SBC has been studied in terms of its burning and gasification properties. In 2003, Sun et al. investigated the thermogravimetric (TG) characteristics of SBC and reported that vitrinite had higher volatile matter yield, maximum weight loss rate, and lower initial decomposition temperature and peak temperature than that of inertinite. Compared to pressure and heating rate, the temperature has a more important impact on the devolatilization of SBC [9]. With TG analysis, Zhao et al. studied the ignition temperature (Tig), maximum reaction temperature (Tmax), burning rate, burnout temperature (Tburn), and combustion features of SBC coal and coke fine mixed sample. The results showed that with the increase in the coke fine content, Tig of the coal and coke fine mixture, the caloric value of the sample, and Tmax would increase, while the burning rate would decrease [10]. Yang et al. studied the SBC ash’s physicochemistry with temperature on the basis of TG-differential scanning colorimetry (TG-DSC) methods. The results indicated that the SBC ash could convert into an eutectic at low temperatures [11]. Chang et al. investigated the formation of nitrogenous products from the gasification of SBC in a fluidized-bed/fixed-bed reactor [7]. More recently, Yang et al. investigated the SBC’s characteristics of combustion and nitrogen oxide (NOx) release in a fixed-bed reactor [12]. The composition of the flue gas was analyzed to investigate the effect of sodium acetate on the combustion process and NOx emission. Sodium acetate was observed to reduce NOx emissions due to their special reactions with the nitrogen-containing species [12]. Even though the maceral groups, characteristic temperature, ash’s physicochemistry, and nitrogenous products of SBC have been studied, a systematic study regarding the most important conditions such as the effect of particle size, heating rate, and total flow rate on its combustion characteristics is scarcely available in the literature. Mass spectrometry (MS) and Fourier transform infrared spectroscopy (FTIR) are widely used in multicomponent analysis in energy chemical industry and are suitable to be combined with TG and the gas chromatographic method [13]. It is efficient and reliable to use the TG-MS-FTIR system for numerical analysis of the combustion characteristics of coal. In the current work, the combustion characteristic of SBC was comprehensively studied with the online TG-FTIR-MS system. The products formed in the combustion of SBC were accurately qualified and quantified by considering the electron impact ionization cross sections, ion flow intensities, and the partial pressures of different species. The condition-characteristic relationship among the particle size, heating rate and total flow rate and ignition, and burnout temperature as well as activation energy was addressed. With the comprehensive use of TG-FTIR-MS, the detailed combustion characteristics of SBC have been presented for the first time. Such strategy will supply a significant guidance for the real use of SBC and other solid fuels in the future.

2. Materials and methods

2.1. Coal samples

The SBC samples were bought from Shenmu Energy Developments Ltd Company and grinded into powder with different sizes. Before test, the sample was put into drying oven at a temperature of 105°C for 90 min. Then, the coals were sieved to a particle size of lesser than 40, 90–100, 128–180, 280–355, and 355–500 μm. To identify the phases of SBC, X-ray diffraction (XRD) patterns were recorded using Bruker D8 Focus at 40 kV and 150 mA with Cu Kα (λ = 0.154056 nm) radiation. By referring to the Joint Committee on Powder Diffraction Standards (JCPDS) database cards which have also been called power diffraction file (PDF), the crystalline phases were identified. The samples were scanned in step of 0.02° (2θ) over the range of 5–90°. By comparing with standard PDF, it was found that the coal samples are mainly composed of CaCO3, SiO2, and kaolinite as shown in Figure 1. The existence of carbonate could be the main reason to form the weak weight loss peak at the end of the combustion processes.

Figure 1.

XRD patterns of SBC.

The elements of SBC samples were identified by the coal proximate analyzer as shown in Table 1. Mad, Aad, Vad, FCad, and Qad.net represent the moisture, ash, volatile, fixed carbon, and low calorific capacity in air-dried basis, respectively. Cad, Had, Oad, Nad, and Sad represent carbon, hydrogen, oxygen, nitrogen, and sulfur elements in air-dried basis, respectively.

Proximate analysisUltimate analysis
Mad
(%)
Aad
(%)
Vad
(%)
FCad
(%)
Qad.net
(kJ/kg)
Cad
(%)
Had
(%)
Oad
(%)
Nad
(%)
Sad
(%)
6.5310.4132.4050.6626,12066.704.1110.791.040.42

Table 1.

The proximate analysis and ultimate analysis results of SBC.

2.2. Comprehensive test

The tests of SBC combustion characteristics were performed with the TG-MS-FTIR system which comprises a TG analyzer (STA-449F3, Netzsch), a mass spectrometer (QMS403C, Aeolos), and an FTIR spectrometer (Tensor 27, Bruker). The combined system was controlled simultaneously and data were recorded by a computer as shown in Figure 2. Due to the TG’s limit of highest heating temperature and heating rate, the highest heating temperature was set at 1200°C and the heating rate were set at 10, 20, 30, and 40°C/min. Considering the oxygen demand for complete combustion of 10 mg SBC samples within the limitations of TG, the total flow rates were set at 50, 100, and 150 sccm. The tests were carried out in four steps. First, an SBC sample of about 10 mg was dispersed on a circular alumina pan and the air in TG chamber was replaced with a gas mixture which consists of 20% O2 and 80% Ar. The supplied O2 was much more than the theoretically needed for the complete oxidation of the SBC sample but was similar to the air. Second, the samples were heated with a heating rate of 10°C/min from 40 to 110°C and kept for 30 min. Third, the samples were heated to 1200°C by four heating rates, namely, 10, 20, 30 and 40°C/min, respectively. Finally, the whole temperature-rising program was finished after an isothermal process of 10 min. Three total flow rates (50, 100, and 150 sccm) containing 20% O2 and 80% Ar were sent into the TG chamber during the whole heating processes. The detailed experimental conditions are summarized in Table 2.

Figure 2.

Scheme of the TG-MS-FTIR system.

ConditionMass (mg)Flow rate (sccm)Heating rate (°C/min)Particle size (μm)
O2ArAr
19.411206020200–40
210.2482060201090–100
39.7882060202090–100
49.3482060203090–100
59.5892060204090–100
69.25120602020125–180
710.24620602020280–355
89.78620602020355–500
99.3411020202090–100
109.86430100202090–100

Table 2.

Experimental conditions.

Note: Protective gas of TG is 20 sccm Ar constantly.


2.3. Data treatment

2.3.1. Characteristic temperature

The ignition characteristic of SBC is analyzed based on Tig. In the present work, Tig is determined by the commonly recognized TG-DTG methods [14]. Tburn is defined as the temperature with 98% total weight loss. Tmax, referring to the temperature at which combustion product own maximum volumetric flow, was also determined through numerical analysis.

2.3.2. Kinetic analysis

The combustion kinetic parameters from TG data are calculated by the Coats-Redfern method [15]:

n=1,  ln[ln1αT2]=lnARβE(12RTE)ERTE1
n1,ln[1ln(1α)1nT2(1n)]=ln[ARβE(12RTE)]ERTE2

where α=(m0m)/(m0m)is the weight loss ratio; m refers to the sample mass; m0and mrepresent the initial mass and the final mass, respectively; β is heating rate, K·min−1; Ris the gas constant; E stands for activation energy, J·mol−1; A is the frequency factor, min−1; and n refers to the order of reaction. In general, the item 2RTE<<1and (12RTE)1. As the first item of the right side of equations is nearly a constant, the two equations should result in a straight line of slope. E can be deduced through calculation with the slope.

2.3.3. Products analysis

To obtain the volumetric flow rates of the products during the oxidation of SBC, both MS and FIIR were used. In order to provide accurate quantitative analysis, a novel method of equivalent characteristic spectrum analysis was employed and the details of such method can be found elsewhere [16]. In the MS analysis, argon was used as a reference gas to calibrate the products by considering the electron impact ionization cross sections, ion flow intensities, and the partial pressures of different species. The characteristic spectra and relative sensitivity were deduced. The effect of initial coal weight on the formation of products was excluded by normalization of the coal weight.

Derivative thermogravimetry (DTG) curve is a very important result of SBC because DTG can reflect the change of combustion rate directly and it was related to the acquirement of ignition temperature, burnout temperature, and combustibility index. Since the mass loss of sample mainly comes from the decomposition of volatiles in the coal samples, the DTG calculated from MS results of combustion products should be consistent with the DTG results measured by TG analyzer. As a representative, Figure 3 compares the DTG curve calculated from MS results and measured TG results under condition 4 (see Table 2). The results indicate that the calculated MS results are in good agreement with the measured ones. The relative uncertainty was estimated to be ±2.6% [16].

Figure 3.

Comparison of DTG curves from calculation and experiment.

3. Results and discussion

3.1. TG/DTG results

Figure 4 presents the TG/DTG curves obtained in the combustion of SBC samples. As temperature increases, the coal sample could proceed with several steps, including devolatilization, coke formation, and coke combustion. The peak of maximum weight loss moves toward high temperatures gradually and the peak value decreases slightly as the particle size increases. The combustion rate depends on the diffusion and reaction ability. During the rapid combustion processes, the major factor affecting the combustion is diffusion ability. As the particle size increases, the contact surface area decreases, which would inhibit the diffusion of oxygen and make the devolatilization and combustion difficult. As a consequence, the devolatilization occurs at higher temperatures and the value of weight loss peak decreases.

Compared to particle size, heating rate has more apparent effect on the characteristics of weight loss. As the heating rate increases, the peak of weight loss moves toward high temperatures. In addition, the peak values and residues decrease as well. Since diffusion ability is the dominant factor in affecting the combustion process, longer contact time of sample surface and oxygen could contribute to SBC conversion. Furthermore, longer time is needed to reach the same temperature at slower heating rate relative to faster one. For instance, the time needed to reach 1200°C at 10°C/min is four times as the time needed to reach 1200°C at 40 °C/min. Thus, the burnout time with low heating rate is longer. Sufficient contact of particles and oxygen is beneficial for the combustion process, and the maximum value of weight loss occurred at lower temperatures and the maximum weight loss shifted to larger values [17]. It is clear that there is a small weight loss peak within 600–700°C. This weak peak could come from the decomposition of carbonate in the coal samples. In addition, the TG/DTG results of different total flow rates are observed to be quite similar as displayed in Figure 4c. As the oxygen supplied is much more than that theoretically needed for the complete combustion, the weight loss characteristics are insensitive to the diverse total flow rate changed in experiments.

Figure 4.

TG and DTG curve of SBC combustion with different particle sizes, heating rates, and total flow rates.

3.2. Characteristic temperatures

The characteristic temperatures obtained in the combustion of SBC at different particle sizes, heating rates, and total flow rates are shown in Figure 5. As indicated in Figure 5a, both Tig and Tburn fall down as the particle size decreases, which is consistent with the results reported by Zhang et al. [18] for Yuanbaoshan and Datong coal and Zhou et al. [19] for Lengshuijiang coal and lean coal. According to Zhang et al. and Zhou et al., the decrease of particle size could lead to larger surface area to expose to oxygen. The same behavior could occur to SBC and the larger surface area of SBC sample with smaller particle size would endow it with lower Tig and Tburn.

Figure 5.

Characteristic temperatures of SBC combustion with different particle sizes, heating rates, and total flow rates.

Figure 5b displays the characteristic temperature as a function of heating rate. Tig, Tmax, and Tburn tend to decrease slightly as the heating rate decreases, which agrees well with the conclusion drawn by Lu et al. [20] for Qilianta coal. This is due to the fact that the thermal conduction in coal particle at lower heating rate is better than that at higher ones. With the increase in temperature, the diffusion becomes better, which is helpful to the devolatilization and results in lower Tig. Moreover, the reaction time is more sufficient at slower heating rate. As the plugging of the surface pores is avoided, it is more difficult to form ash cladding, which could give rise to a lower Tburn [21].

For the total flow rate, a slight increase of Tig is observed with large total flow rate (see Figure 5c). This slight increase mainly comes from shorter residence time of O2 on the surface of coal particles at higher total flow rates. Even though more oxygen reached the coal surface, the higher speed of oxygen molecule makes the adsorption of oxygen more difficult. As the supplied O2 was much more than the theoretically needed for the complete oxidation of the SBC sample, the influence of oxygen flow on the complete combustion and maximum combustion speed is not obvious. As a consequence, both Tmax and Tburn exhibit similar values in the combustion of SBC at different total flow rates.

3.3. Activation energy

Figure 6 summarizes activation energy (E) of SBC with variation of particle size, heating rate, and total flow rate. E tends to be low with the increase in the heating rate, decrease in the particle size, and the total flow rate. As the particle size decreases, the surface area increases, which would result in more contact area with oxygen and better thermal reactivity. Thus, energy transfer from outside to inside rapidly increases, and the value of E decreases. When the total flow rate increases, the contact time of oxygen and sample surface will be shortened and the value of E increases. On the other hand, the temperature will rise quickly with fast heating rate and the oxidation of coal could become easier. The lower energy barrier makes the oxidation easier [2224]. This finding also shows good agreement with the conclusion drawn by Lu et al. [20] for different kinds of coals. Similar to the tendency of Tig, E decreased when the total flow rate turned lower. The adsorbability of oxygen on the coal particle surface is better with lower total flow rate, which could be responsible for the decrease in the energy barrier.

Figure 6.

Activation energies of SBC combustion with different particle sizes, heating rates, and total flow rates.

3.4. MS and FTIR results

The volumetric flows of different combustion products at different temperatures can be obtained by normalization and numerical analysis of MS results. The maximum volumetric flows of different combustion products as well as the corresponded temperatures (Tm) are used to explore the formation rule of emitted pollutants. Table 3 shows the maximum volumetric flows of CH4, NH3, NO, HCN, NO2, and SO2 as well as the corresponded Tm. By comparing the results obtained with different particle sizes, the listed species tend to be less produced with smaller particle sizes. In view of the heating rate, lower amounts of these products were measured at lower heating rate. As far as the total flow rate is concerned, the quantity of these species becomes lower when the total flow rate is smaller. In general, Tm is insensitive to the particle size. However, the increase in the total flow rate normally results in smaller Tm. With the increase in the heating rate, Tm of NO, NH3, and HCN tends to be higher, while Tm of SOx becomes lower. To summarize, lower concentrations of CH4, NH3, NO, HCN, NOx, and SO2 were observed at smaller particle size, slower heating rate, and higher total flow rate.

No.CH4NH3NOHCNNO2SO2
Value
(slm)
Tm
(°C)
Value
(slm)
Tm
(°C)
Value
(slm)
Tm
(°C)
Value
(slm)
Tm
(°C)
Value
(slm)
Tm
(°C)
Value
(slm)
Tm
(°C)
14.08E−054423.61E−043184.72E−054935.05E−044526.14E−054316.38E−06400
23.53E−054272.41E−043093.56E−054583.68E−044434.17E−054384.52E−06402
35.91E−054402.81E−043057.69E−054923.09E−044516.41E−054407.73E−06388
46.51E−054372.17E−043076.46E−054944.94E−044539.84E−054298.37E−06379
55.06E−054303.41E−043371.40E−045073.97E−045121.29E−044391.24E−05350
67.27E−054534.23E−043384.60E−054946.74E−044637.10E−054424.55E−06400
77.94E−054534.89E−043066.97E−055045.19E−044537.43E−054426.33E−06410
87.96E−054323.73E−043174.95E−055034.52E−044637.20E−054426.20E−06390
99.75E−054537.72E−043279.44E−055046.53E−044631.47E−044531.01E−05400
103.76E−054301.58E−043164.32E−054823.03E−044724.99E−054405.75E−06398

Table 3.

Maximum volumetric flow of representative combustion products.

Note: Tm refers to the temperature at which the peak flow is obtained.


Figure 7 shows the volumetric flow rates of different species formed under condition 4 (see Table 2). In the combustion of SBC, both NH3 and HCN exhibited two-peak shapes. The peak before Tig comes from the devolatilization, whereas the peak after Tig mainly results from the decomposition of nitrogen components in both coal volatile and char. Further increase in the temperature led to the conversion of the two species into NO and NO2.

Figure 7.

Flow rates of major products.

NO2 exhibited a shoulder peak and an asymmetric single peak. The shoulder peak is due to the weak release of NO2 during devolatilization. The asymmetric single peak could result from the conversion of nitrogen-containing heterocyclic species at the end of devolatilization and the beginning of char combustion. However, the other nitrogenous components enriched in char will release NO2 during the rapid combustion of char. Less NO2 emissions were observed at smaller particle size, slower heating rate, and higher total flow rate. Similarly, the emissions of SO2 are relatively less than those formed with slower heating rate and higher total flow rate. However, the amount of SO2 is quite similar for the investigated particle size range, indicating that it is insensitive to the particle size.

Figure 8.

Production of NO2 (a, c, e) and SO2 (b, d, f) with different particle sizes, heating rates, and total flow rates.

By comparing the formation of NO2 and SO2 with different particle sizes, heating rates, and total flow rates shown in Figure 8, it is obvious that the amount of SO2 production is much lower than those of NO and NO2. To summarize, the SBC combustion with smaller particle size, slower heating rate, and higher total flow rate is beneficial to controlling the formation of pollutants. This finding is consistent with the results reported for Hegang, Tiefa, and Zhungeer coals by Wei et al. [25] and Heshan sulfur coal by Jiang et al. [23, 26].

To visualize the formation of the major species and avoid the effect of ion fragmentation in MS, FTIR with the spectral range of 500–5000 cm−1 was involved in the current work. Figure 9 presents a representative three-dimensional (3D) spectrum measured with a particle size of 90–100 μm, a total flow rate of 100 sccm, and a heating rate of 20°C/min. The maximum absorbance peak is located at the wave number of 2380 cm−1 corresponding to the anomalistic vibration of CO2. Another obvious peak at 700 cm−1 belongs to the bending vibration of CO2. The peaks at 1375 and 3600 cm−1 correspond to SO2 and H2O, respectively. By comparing the standard spectral peaks of different species, overlapped peaks were observed. For instance, the peak between 1500 and 1800 cm−1 should be the overlap of H2O and NO [27, 28]. As can be seen in Figure 9, CO2 becomes detectable at around 140°C. Up to 200°C, a slow increase was observed. Another turning point was measured at about 375°C, which also agrees well with the wave valley in the profiles of HCN and NH3. Besides CO2, the fast production of the major species was achieved within the temperature range of 400–500°C, which is consistent with the rapid combustion temperature revealed in the MS analysis. In order to show gradual change of specific species at different temperatures in Figure 9, Figure 10 presents two-dimensional (2D) spectra. The peaks located at about 2380 and 3600 cm−1 correspond to the CO2 and H2O, respectively. By comparing different spectra obtained at different temperatures, it is obvious that the maximum peak values of different combustion products are located at the temperature of 450°C, corresponding to the rapid combustion temperature. The spectra obtained at temperatures higher than 450°C exhibit very weak peaks since the SBC samples were nearly burned out.

Figure 9.

3D FTIR spectra with different wave numbers and temperatures.

Figure 10.

2D FTIR spectra at different temperatures.

4. Conclusions

The combustion of SBC was comprehensively studied with the online TG-MS-FTIR system in terms of characteristic temperatures as well as qualitative and quantitative analyses of products. Five particle sizes ranging from 0 to 500 μm, four heating rates from 10 to 40°C/min, and three total flow rates from 50 to 150 sccm were used. To avoid the influence of overlap peaks, signal drift, and dynamic response delay in ion current spectra during MS analysis, argon was used as a reference gas to calibrate the products by considering the electron impact ionization cross sections, ion flow intensities, and the partial pressures of different species. The results indicate that the decrease in the particle size, heating rate, and flow rate lead to lower ignition and burnout temperatures, while the activation energy tends to be lower with smaller particle size, faster heating rate, and lower flow rate. The decrease in the particle size could lead to more contact area with oxygen and better thermal reactivity. Slower heating rate could provide more sufficient time for the reaction. Moreover, a higher total flow rate would reduce the oxygen adsorbability on the coal particle surface at a higher flow speed. From MS and FTIR analysis, lower concentrations of different products were observed to be formed at smaller particle size, slower heating rate, and higher total flow rate. These findings will guide to understand the combustion kinetics of SBC and be beneficial to control the formation of pollutants.

Acknowledgments

The authors thank the financial support from the Recruitment Program of Global Youth Experts and Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDA0703100). The authors also thank Mr. Kai Wei, Mr. Zhi-Qiang Gong, and Dr. Zhi-Cheng Liu for their help in the experiments.

© 2016 The Author(s). Licensee IntechOpen. This chapter is distributed under the terms of the Creative Commons Attribution 3.0 License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Guan-Fu Pan, Hong-De Xia and Zhen-Yu Tian (October 5th 2016). Bituminous Coal Combustion with New Insights, Developments in Combustion Technology, Konstantinos G. Kyprianidis and Jan Skvaril, IntechOpen, DOI: 10.5772/64136. Available from:

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