Determination of Particle Size and Distribution through Image-Based Macroscopic Analysis of the Structure of Biomass Briquettes

Via image-based macroscopic, analysis of a briquettes’ surface structure, particle size, and distribution was determined to better understand the behavioural pattern of input material during agglomeration in the pressing chamber of a briquetting machine. The briquettes, made of miscanthus, industrial hemp and pine sawdust were produced by a hydraulic piston press. Their structure was visualized by a stereomicroscope equipped with a digital camera and software for image analysis and data measurements. In total, 90 images of surface structure were obtained and quantitatively analysed. Using Nikon Instruments Software (NIS)-Elements software, the length and area of 900 particles were measured and statistically tested to compare the size of the particles at different surface locations. Results showed statistically significant differences in particles’ size distribution: larger particles were generally on the front side of briquettes and vice versa, smaller particles were on the rear side. As well, larger particles were centred in the middle of cross sections and the smaller particles were centred on the bottom of the briquette.


Introduction
Nowadays, there is increasing interest in biofuels made of different types of biomass, including agricultural organic wastes and energy crops as an alternative, renewable and potentially sustainable energy source compared to conventional fossil fuels [1][2][3][4][5].Production of high-quality biofuels with good mechanical, chemical and energy properties is strongly desired [6].Appropriate design of machines, equipment and necessary infrastructure for production, handling, transport and storage of these products is required, as well, there is a general need for better and more comprehensive knowledge of the biomass material properties [7].
Briquetting, one of the densification technologies, is a fundamental and promising method for conversion of the waste and purposely grown biomass into solid biofuels [8].It is achieved by forcing loose particles together into a larger, more compact and shaped form, by application of mechanical force to create particle-to-particle bonding [9,10].Effectiveness of the densification process is given by the quality of these inter-particle bonds [11].Generally, binding mechanisms, i.e., physical and chemical effects causing adhesion and bonding between solid particles, are described according to the classical theory of agglomeration by Pietsch [12].In the case of densified biomass, binding mechanisms were reviewed by Kaliyan and Morey [11] and studied by the same authors [9] on corn stover and switchgrass briquettes and pellets using several microscope technologies, by Stelte et al. [13] on beech, spruce and straw pellets via scanning electron microscopy (SEM) or by Zhang and Guo [4] on Caragana korshinskii Kom briquettes using SEM as well.One of the factors highly affecting the strength of particle-to-particle bonds is particle size [6,8,10,12,14,15].Biomass materials are characterized by a diverse range of sizes and shapes of particles [16].
Particle size and particle size distribution (PSD) are counted among the major factors determining physical and mechanical properties of briquettes as well as other solid agglomerates and particulate materials, and provide substantive information about the quality and performance of these products [4,11,12,17,18].They play important roles in the flow ability, bulk density, compressibility, mechanical strength and durability of densified products.Their impact on the main physical mechanical properties of solid biofuels has been studied by many authors.Ndindeng et al. [6] studied the hardness of rice-husk briquettes, Mani et al. [19] dealt with the density of pellets made of wheat straw, barley straw, corn stover and switchgrass, Mitchual et al. [20] researched the relaxed density and compressive strength of briquettes produced from sawdust of tropical hardwoods, and Zhang and Guo [4] observed properties like density, durability, compressive strength and impact resistance of Caragana korshinskii Kom briquettes.Harun and Afzal [21] studied the density and intrinsic yield stress of pellets made of agricultural and wood biomass blends, and Missagia et al. [15] reported the durability of the rice husk pellets.In general, a finer grinding means a higher density, hardness and durability, however, it also results in higher production costs [6,11].Apart from physical and mechanical properties, particle size has an influence on burning characteristics as well [22].An effect of the particle size on biofuel ignition and burning rate was studied, besides others, by Davies and Abolude [23] on water hyacinth briquettes, Sutrisno et al. [22] on manghasleaf briquettes, and Saptoadi [24] on wood sawdust and rice-husk briquettes.Generally, reduced particle size causes an increase in burning time, a decrease in combustion rate, but prolonged ignition time [23].Regarding the amount of heat released during combustion, Tembe et al. [25] and Huko et al. [26] reported no significant difference in calorific values of sawdust briquettes made of different particle sizes.
One of the methods by which particle size, as well as other properties of solid biofuels can be observed nowadays is with computer/machine vision and image analysis.It is a highly useful and effective technique with a versatile range of applications in various areas of industry and science [27][28][29].Typically, it is used to increase the efficiency and quality of controlled products, thus, it is characterized by a focus on typical tasks associated with managing the production process, including the visual inspection of prescribed visible parameters [30], identification of size, shape [31], colour [32][33][34][35], structure and texture [36], object counting [37], finding defects [38,39], and reading and verification of texts and codes [40].
Development of the machine vision and image analysis is still on the rise and its applications have slowly expanded to the research of biomass materials for energy fuel production.Generally, in the case of particulate materials it represents another approach for size and shape analysis of particles.In most of the studies published so far, image-based analysis has been primarily used for identifying particle size and its distribution from loose aggregate samples [16,18,[41][42][43][44][45][46][47][48] before they are utilized in concrete mixtures, in place of directly measurements from the image of compact cross sections [49].Further, it can be used for observation of surface and/or interior structures of agglomerates [12,[49][50][51][52].In the case of solid biofuels, it was used by Zhang and Guo [4], Kaliyan and Morey [9], Stelte et al. [13] and Muntean et al. [53].
Knowledge of the agglomeration process of a raw input material during the pressing process is critical in understanding the briquetting process, as well as controlling the manufacturing operation.It can help to improve modes, parameters and the technological conditions of equipment for briquettes production, and above all, may ensure the required high-quality biofuels with appropriate technological and mechanical properties, according to the given standards.
The aim of the present paper is to analyse the macrostructure of briquettes made from different sources of biomass materials, namely miscanthus, industrial hemp and pine sawdust, through microscope technology equipped with a digital camera and special software for image analysis and data measurement, in order to determine particles' size and their surface distribution and to observe if there are any principles and rules in the behaviour and interaction between particles at different locations on the briquette surface within different sources of biomass, and thus, to better understand the behavioural patterns of an input material in the pressing chamber of the briquetting machine.

Materials and Methods
Briquettes made of the three following biomass materials (Figure 1) were analysed: miscanthus (Miscanthus × giganteus), a promising energy crop [54]; industrial hemp (Cannabis sativa L.), an annual fiberous plant, which utilized for energy purposes is an interesting alternative [1,55]; and for comparison pine sawdust (Pinus L.), a wood material representing traditional feedstock for solid biofuels production [56].
Energies 2018, 11, x 3 of 13 The aim of the present paper is to analyse the macrostructure of briquettes made from different sources of biomass materials, namely miscanthus, industrial hemp and pine sawdust, through microscope technology equipped with a digital camera and special software for image analysis and data measurement, in order to determine particles' size and their surface distribution and to observe if there are any principles and rules in the behaviour and interaction between particles at different locations on the briquette surface within different sources of biomass, and thus, to better understand the behavioural patterns of an input material in the pressing chamber of the briquetting machine.

Materials and Methods
Briquettes made of the three following biomass materials (Figure 1) were analysed: miscanthus (Miscanthus × giganteus), a promising energy crop [54]; industrial hemp (Cannabis sativa L.), an annual fiberous plant, which utilized for energy purposes is an interesting alternative [1,55]; and for comparison pine sawdust (Pinus L.), a wood material representing traditional feedstock for solid biofuels production [56].The moisture content (w.b.) of the miscanthus, hemp and pine sawdust before briquetting was 9.91%, 8.82%, and 10.35%, respectively.All dry materials were grinded by a hammer mill (9FQ-40C, Pest Control Corporation, s.r.o., Vlčnov, Czech Republic) with a screen hole diameter of 12 mm.The PSD of the input materials, determined by an oscillating screen method [57] using a horizontal sieve shaker (AS 200, Retsch, Haan, Germany) with seven sieves of apertures 0.63, 1.5, 3.15, 4.5, 6.7, 8 and 10 mm, and 30-min sieve shaking time and amplitude 3.0 mm/"g", is presented in Table 1 and Figure 2.  The moisture content (w.b.) of the miscanthus, hemp and pine sawdust before briquetting was 9.91%, 8.82%, and 10.35%, respectively.All dry materials were grinded by a hammer mill (9FQ-40C, Pest Control Corporation, s.r.o., Vlčnov, Czech Republic) with a screen hole diameter of 12 mm.The PSD of the input materials, determined by an oscillating screen method [57] using a horizontal sieve shaker (AS 200, Retsch, Haan, Germany) with seven sieves of apertures 0.63, 1.5, 3.15, 4.5, 6.7, 8 and 10 mm, and 30-min sieve shaking time and amplitude 3.0 mm/"g", is presented in Table 1 and Figure 2. The PSD of pine sawdust material was quite uniform.Owing to the particles' spherical shape, the decreased screen opening size corresponded to the decreased particle size.Most material (almost 25%) was kept by the sieve with 1.5 mm openings.Sieve analysis of hemp and miscanthus did not give reliable outputs on their real PSD, in the case of hemp this was caused by its fibrous nature and the parallelepiped shape of its non-fibre particles; more than half of the mass was caught by the screen with the largest apertures.In the case of the miscanthus material, it was due to the needle-like shape of its particles as the standard procedure does not obviate the "falling-through" effect of longer particles through smaller sieve openings [42,43,58].For this reason more than 75% of the material was retained on the last two screens with the smallest openings (1.5 and 0.63 mm).The moisture content (w.b.) of the miscanthus, hemp and pine sawdust before briquetting was 9.91%, 8.82%, and 10.35%, respectively.All dry materials were grinded by a hammer mill (9FQ-40C, Pest Control Corporation, s.r.o., Vlčnov, Czech Republic) with a screen hole diameter of 12 mm.The PSD of the input materials, determined by an oscillating screen method [57] longer particles through smaller sieve openings [42,43,58].For this reason more than 75% of the material was retained on the last two screens with the smallest openings (1.5 and 0.63 mm).Dry and grinded materials were pressed to the form of fuel briquettes (Figure 1) by hydraulic piston briquetting machine (BrikStar CS 50, Briklis, Malšice, Czech Republic) (Figure 3) with a 65 mm diameter pressing cylinder, which approximately corresponds to the diameter of the produced briquettes with the length of the briquettes ranging from 30 to 50 mm (Table 2).The briquetting press works under maximum compression pressure of 18 MPa and pressing temperature 60 • C [59].Briquettes were produced without any additional binding agents (additives) at room temperature.In the middle of the compacting process, when stronger briquettes were produced, 5 non-consecutive briquettes from each material were selected for further analysis (Table 2).
The PSD of pine sawdust material was quite uniform.Owing to the particles' spherical shape, the decreased screen opening size corresponded to the decreased particle size.Most material (almost 25%) was kept by the sieve with 1.5 mm openings.Sieve analysis of hemp and miscanthus did not give reliable outputs on their real PSD, in the case of hemp this was caused by its fibrous nature and the parallelepiped shape of its non-fibre particles; more than half of the mass was caught by the screen with the largest apertures.In the case of the miscanthus material, it was due to the needle-like shape of its particles as the standard procedure does not obviate the "falling-through" effect of longer particles through smaller sieve openings [42,43,58].For this reason more than 75% of the material was retained on the last two screens with the smallest openings (1.5 and 0.63 mm).Dry and grinded materials were pressed to the form of fuel briquettes (Figure 1) by hydraulic piston briquetting machine (BrikStar CS 50, Briklis, Malšice, Czech Republic) (Figure 3) with a 65 mm diameter pressing cylinder, which approximately corresponds to the diameter of the produced briquettes with the length of the briquettes ranging from 30 to 50 mm (Table 2).The briquetting press works under maximum compression pressure of 18 MPa and pressing temperature 60 °C [59].Briquettes were produced without any additional binding agents (additives) at room temperature.In the middle of the compacting process, when stronger briquettes were produced, 5 non-consecutive briquettes from each material were selected for further analysis (Table 2).Using a stereomicroscope (Stemi 2000, Carl Zeiss, Jena, Germany) equipped with illumination (VisiLED MC1500, Schott, Mainz, Germany), the selected briquettes were observed with 6.5 times magnification and scanned by the digital camera (DFW-SX 910, Sony Corp., Minato, Tokyo, Japan) with charge-coupled device (CCD) detector of resolution 1392 × 1040 pixels through IC Capture 2.3 image acquisition software (The Imaging Source Europe GmbH, Bremen, Germany) (Figure 4).Briquettes were scanned at 6 specific points/locations on the briquette cross sections (Figure 5).Using a stereomicroscope (Stemi 2000, Carl Zeiss, Jena, Germany) equipped with illumination (VisiLED MC1500, Schott, Mainz, Germany), the selected briquettes were observed with 6.5 times magnification and scanned by the digital camera (DFW-SX 910, Sony Corp., Minato, Tokyo, Japan) with charge-coupled device (CCD) detector of resolution 1392 × 1040 pixels through IC Capture 2.3 image acquisition software (The Imaging Source Europe GmbH, Bremen, Germany) (Figure 4).Briquettes were scanned at 6 specific points/locations on the briquette cross sections (Figure 5).The points A-C were placed on the front side, points D-F on the rear side, where the piston presses during the briquetting.From each briquette six images were taken, in total 90 images.The acquired images were subsequently processed and quantitatively analysed with the NIS-Elements Advanced Research 3.2 (Laboratory Imaging s.r.o., Prague, Czech Republic), special software for image analysis.The quantitative measurements of particle size in terms of length and area were carried out on the outer surface points A-F (Figure 5).Using a stereomicroscope (Stemi 2000, Carl Zeiss, Jena, Germany) equipped with illumination (VisiLED MC1500, Schott, Mainz, Germany), the selected briquettes were observed with 6.5 times magnification and scanned by the digital camera (DFW-SX 910, Sony Corp., Minato, Tokyo, Japan) with charge-coupled device (CCD) detector of resolution 1392 × 1040 pixels through IC Capture 2.3 image acquisition software (The Imaging Source Europe GmbH, Bremen, Germany) (Figure 4).Briquettes were scanned at 6 specific points/locations on the briquette cross sections (Figure 5).The points A-C were placed on the front side, points D-F on the rear side, where the piston presses during the briquetting.From each briquette six images were taken, in total 90 images.The acquired images were subsequently processed and quantitatively analysed with the NIS-Elements Advanced Research 3.2 (Laboratory Imaging s.r.o., Prague, Czech Republic), special software for image analysis.The quantitative measurements of particle size in terms of length and area were carried out on the outer surface points A-F (Figure 5).The points A-C were placed on the front side, points D-F on the rear side, where the piston presses during the briquetting.From each briquette six images were taken, in total 90 images.The acquired images were subsequently processed and quantitatively analysed with the NIS-Elements Advanced Research 3.2 (Laboratory Imaging s.r.o., Prague, Czech Republic), special software for image analysis.The quantitative measurements of particle size in terms of length and area were carried out on the outer surface points A-F (Figure 5).
To compare the behavioural pattern of the surface locations (points A-F), 50 measurements of particle lengths and areas were done for each point (Figure 6), in total 900 measurements of particle lengths and areas for all of the materials.To compare the behavioural pattern of the surface locations (points A-F), 50 measurements of particle lengths and areas were done for each point (Figure 6), in total 900 measurements of particle lengths and areas for all of the materials.It was also intended to observe the inside structure of the briquettes.The briquettes were cut by an electric band saw (PractiX 285.230G, Bomar, Brno, Czech Republic) into two equal halves, i.e., two equal cylinders were created from each briquette.On the inner side of one cut half, the three points were scanned and observed as was done on the exterior surface, specifically, two points remotely placed 5 mm from the briquette edges (top and bottom) and one point in the middle of the circular cross section.Images of these points were taken, however, it was not possible to quantitatively analyse the structure since there were no clearly defined particles for measurements.
The measured data were analysed using Statistica 12 software (Version 12, TIBCO Software Inc., Palo Alto, CA, USA) by descriptive statistics (arithmetic means, medians, minimum and maximum values, etc.) to summarize the measured data sample and by statistical hypothesis testing to compare the scanned locations on the briquette surface structure in terms of particle size.
With respect to the objective of the paper-to prove a statistically significant difference in the length and area of particles at 6 specified points and to identify where the particles are longest and have the biggest area and vice versa, the shortest and with the smallest area, a one-way ANOVA test was intended to be used.It is commonly applied for comparison of three or more dependent samples of equal or different sample sizes [60].Before the statistical testing, the data were checked (based on the outputs of descriptive statistics) for normality via Shapiro-Wilk's, Kolmogorov-Smirnov and Lilliefors tests, which is an assumption for usage of the above mentioned ANOVA test.Based on a set significance level (0.05) and calculated p-values the normality tests rejected the assumption that the data has normal distribution; for this reason, a non-parametric equivalent of the one-way ANOVA test i.e., Kruskal-Wallis test with a significance level 0.05 was used.Even though non-parametric tests are less powerful than parametric ones [60], in this case as it is presented, the test provided results with more than 99% confidence level.In order to make the testing complete, the statistical processing included the post hoc Mann-Whitney U tests to determine where the differences It was also intended to observe the inside structure of the briquettes.The briquettes were cut by an electric band saw (PractiX 285.230G, Bomar, Brno, Czech Republic) into two equal halves, i.e., two equal cylinders were created from each briquette.On the inner side of one cut half, the three points were scanned and observed as was done on the exterior surface, specifically, two points remotely placed 5 mm from the briquette edges (top and bottom) and one point in the middle of the circular cross section.Images of these points were taken, however, it was not possible to quantitatively analyse the structure since there were no clearly defined particles for measurements.
The measured data were analysed using Statistica 12 software (Version 12, TIBCO Software Inc., Palo Alto, CA, USA) by descriptive statistics (arithmetic means, medians, minimum and maximum values, etc.) to summarize the measured data sample and by statistical hypothesis testing to compare the scanned locations on the briquette surface structure in terms of particle size.
With respect to the objective of the paper-to prove a statistically significant difference in the length and area of particles at 6 specified points and to identify where the particles are longest and have the biggest area and vice versa, the shortest and with the smallest area, a one-way ANOVA test was intended to be used.It is commonly applied for comparison of three or more dependent samples of equal or different sample sizes [60].Before the statistical testing, the data were checked (based on the outputs of descriptive statistics) for normality via Shapiro-Wilk's, Kolmogorov-Smirnov and Lilliefors tests, which is an assumption for usage of the above mentioned ANOVA test.Based on a set significance level (0.05) and calculated p-values the normality tests rejected the assumption that the data has normal distribution; for this reason, a non-parametric equivalent of the one-way ANOVA test i.e., Kruskal-Wallis test with a significance level 0.05 was used.Even though non-parametric tests are less powerful than parametric ones [60], in this case as it is presented, the test provided results with more than 99% confidence level.In order to make the testing complete, the statistical processing included the post hoc Mann-Whitney U tests to determine where the differences lie between the tested groups (scanned points).The obtained results were finally tabulated and plotted.

Results
To compare the behavioural pattern in briquettes' surface structure, 900 values of particle size, i.e., lengths and areas, were measured at different surface locations (namely points A-F).Descriptive statistics summarizing these measured values (in mm/mm 2 ) and sorted out according to the scanned locations are presented in Table 3. From the values of the mean and median it is evident that larger particles are located at the front side of the briquettes (points A-C).It can be seen that grinded particles have a wide size range and associated relatively high variances, which indicates that the measured data within set points are very spread out around the mean and from each other (these results indicate that the measured data did not come from a normal distribution).
Comparisons of the particles' size among scanned surface location tested by the Kruskal-Wallis test are presented in Tables 4 and 5.The same results are graphically expressed by box plots (Figures 7 and 8).Based on the achieved significance level of the Kruskal-Wallis test (p = 0.0000), a statistically significant difference (with more than 99% confidence) in the length and area of particles at specified points was demonstrated.From the sum of the ranks for the particular groups it is evident that the length of particles are largest at point B, followed by points A, C, E, D, and F. In general, larger particles were located on the front side, contrarily, the smaller ones were located on the rear side of the briquettes.From the sum of the rank values for the particular groups (points) it is evident that the areas of the largest particles are at point B, followed by points A, E, C, D, and F.
To complete the testing, multiple comparison tests were done and the following Tables 6-9 show where the significant differences (highlighted values) between the scanned points occur.Tables 6 and 8 show z-values (standard scores) for each comparison between points, Tables 7 and 9 show p-values associated with each comparison.Based on the achieved significance level of the Kruskal-Wallis test (p = 0.0000), a statistically significant difference (with more than 99% confidence) in the length and area of particles at specified points was demonstrated.From the sum of the ranks for the particular groups it is evident that the length of particles are largest at point B, followed by points A, C, E, D, and F. In general, larger particles were located on the front side, contrarily, the smaller ones were located on the rear side of the briquettes.From the sum of the rank values for the particular groups (points) it is evident that the areas of the largest particles are at point B, followed by points A, E, C, D, and F.
To complete the testing, multiple comparison tests were done and the following Tables 6-9 show where the significant differences (highlighted values) between the scanned points occur.Tables 6 and 8 show z-values (standard scores) for each comparison between points, Tables 7 and 9 show p-values associated with each comparison.Based on the achieved significance level of the Kruskal-Wallis test (p = 0.0000), a statistically significant difference (with more than 99% confidence) in the length and area of particles at specified points was demonstrated.From the sum of the ranks for the particular groups it is evident that the length of particles are largest at point B, followed by points A, C, E, D, and F.
In general, larger particles were located on the front side, contrarily, the smaller ones were located on the rear side of the briquettes.From the sum of the rank values for the particular groups (points) it is evident that the areas of the largest particles are at point B, followed by points A, E, C, D, and F.
To complete the testing, multiple comparison tests were done and the following Tables 6-9 show where the significant differences (highlighted values) between the scanned points occur.Tables 6 and 8 show z-values (standard scores) for each comparison between points, Tables 7 and 9 show p-values associated with each comparison.On the basis of multiple comparisons and the set significance level of 0.05 it was proved that there is significant difference in areas mainly between points A and F, which was obvious from the previous testing.
Further, there is a significant difference primarily between B and F, B and D. It is also evident that there are significant differences in areas between points on the front and their opposite on the rear side of briquettes, i.e., between point A and its opposite on the other side of the briquette, point D. The same observation goes for the pair points B and E, C and F.
In the case of the length variable, there is significant difference in particle length mainly between points B and F, and also between B and D. It is also evident that there is no significant difference between points on the front side (i.e., A and B, B and C, C and A) as well as points on the rear side (that is, D and E, E and F, D and F).
It can be concluded that PSD on the briquette cross-section surface is not uniform; there are differences between the particle sizes in terms of the length and area on the briquette surface.Generally, the largest particles are on the front side, while the particles with smaller dimensions are on the rear side.

Discussion
As stated before, the size of the particles significantly affects the physical and mechanical properties as well as burning characteristics of briquettes [4,10,11,17,18,22].Particle size and PSD have a great impact on the compressibility of a bulk input material and the durability of the final briquettes [8,11,22,61].Usually, with the smaller particle size, the density, mechanical strength, hardness, mechanical durability, impact resistance and the burning time of densified briquettes are increased [4,6,15,[20][21][22], however very fine grinding is undesirable due to the increased cost of briquette production [11] and the longer fuel ignition time [23].
Since it is known that the particle distribution is not uniform, that the larger particles agglomerate in the middle, and the smaller on the bottom of briquettes, mixing of the material during the densification could decrease this non-uniformity in the distribution of larger and smaller particles, which could lead to an increase in the quantity of contact points for inter-bonding among particles, and thus, to higher mechanical strength and lower abrasion of the final products during handling and transportation.

Conclusions
On the basis of image-based macroscopic analysis, the surface structure of hemp, miscanthus and pine sawdust briquettes was analysed and assessed.The size of the particle, that is, their length and area and their distributions on the briquette surface were determined.Based on the Kruskal-Wallis test a statistically significant difference (with 99% confidence) in the length and area of particles within specified locations on the briquette surface, has been demonstrated.It was proved that the particles with largest lengths are situated at point B, i.e., in the middle of the front side, followed by points A on the top of the briquette, point C on the bottom of the briquette, followed by points on the rear side in the same order, E, D, and F. In the case of area values, the results were analogous, the front side showed the same results, i.e., the largest particles in terms of area are located at the B, A, and C points.On the rear side, the order of points with the largest particle areas was D, E, and F. For all the briquettes, made from three biomass sources and produced under the same conditions, the smallest particles are situated at the bottom of the briquette, whereas the largest are located in the middle of the briquette cross section.To conclude, the behavioural patterns of selected input materials during the agglomeration process in the pressing chamber of the briquetting machine as well as particle sizes at different locations on the briquette surface were identified and thus contributed to a better understanding of the densification and agglomeration processes.

Figure 2 .
Figure 2. Comparison of particle size distribution (PSD) of studied materials.Figure 2. Comparison of particle size distribution (PSD) of studied materials.

Figure 2 .
Figure 2. Comparison of particle size distribution (PSD) of studied materials.Figure 2. Comparison of particle size distribution (PSD) of studied materials.

Figure 2 .
Figure 2. Comparison of particle size distribution (PSD) of studied materials.

Figure 4 .
Figure 4. Equipment for macroscopic image analysis.

Figure 5 .
Figure 5.The scheme of analysed point, (a) position of briquette leaving from press die; (b) points A-C placed on the front side of the briquettes; D-F on the rear side.

Figure 4 .
Figure 4. Equipment for macroscopic image analysis.

Figure 4 .
Figure 4. Equipment for macroscopic image analysis.

Figure 5 .
Figure 5.The scheme of analysed point, (a) position of briquette leaving from press die; (b) points A-C placed on the front side of the briquettes; D-F on the rear side.

Figure 5 .
Figure 5.The scheme of analysed point, (a) position of briquette leaving from press die; (b) points A-C placed on the front side of the briquettes; D-F on the rear side.

Figure
Figure Size measurement of hemp briquette's particles via NIS-Elements AR software (Version 2.3, Laboratory Imaging s.r.o., Prague, Czech Republic).

Table 1 .
Particle size distribution (PSD) of examined materials.

Table 1 .
Particle size distribution (PSD) of examined materials.

Table 2 .
The length and diameter of selected briquettes.

Table 2 .
The length and diameter of selected briquettes.

Table 2 .
The length and diameter of selected briquettes.

Table 3 .
Descriptive statistics of studied points on briquettes' surface (in mm/mm 2 ).

Table 4 .
Kruskal-Wallis test results for length variable.

Table 5 .
Kruskal-Wallis test for area variable.

Table 6 .
Multiple comparisons z'-values of area values for point variable.

Table 7 .
Multiple comparisons p-values (2-tailed) of area values for point variable.

Table 8 .
Multiple comparisons z'-values of length values for point variable.

Table 9 .
Multiple comparisons p-values (2-tailed) of length values for point variable.