1. Introduction
Engineering materials are used for constructing various industrial equipment or parts of different shapes and sizes. The most common engineering materials are steel and ceramics, especially refractories. Depending on the planned applications, the necessary selection of materials relies on numerous factors such as mechanical and chemical properties, dimensional tolerance, component shape, manufacturing and service requirements, and cost [
1,
2]. The basic principles for the selection of material are behavior in different operating conditions and its life cycle. Very often during service life, equipment or some of its parts are exposed to extreme conditions. In this respect, apart from investigating cavitation’s influence on the performance of ceramic matrix composites, metal matrix composites, and alloys [
3,
4,
5], some authors’ previous studies were also focused on changes in composite materials induced by aggressive acid and salt environments [
6], high temperatures [
7], thermal shocks [
8], as well as by laser beams [
9]. Failure analysis is usually performed on different construction materials, such as metals, alloys, and refractories [
10,
11].
Fluid flow systems are often places where cavitation erosion is expected. A cavitation phenomenon involves the formation of water vapor bubbles, which cause (metal/ceramic/polymer/composite) component damage when they collapse back into the liquid phase [
12,
13,
14,
15,
16]. The sources of heat that contribute to excessively high temperatures and cavitation in a system’s fluid may include high working temperature, turbulent flow conditions in conduits, heat of vaporization in cavitation flow, high-pressure drops across control orifices, high friction from rough surfaces and abrasive action, etc. Cavitation phenomena in metallurgical furnaces and reactors could be associated with the high temperature, turbulent fluid flow, high friction from different surfaces, and vaporization [
17,
18,
19,
20]. The level of erosion caused by cavitation could be severe and could affect the fracture initiation, progression, and failure of the part. This phenomenon is extremely important for engineering materials and structures, as it has a strong impact on the lifetime of materials used and thus on the reliability of equipment, structures, or even plants. Accordingly, many investigations have been related to cavitation erosion understanding, and those up to date are focused on new and advanced materials for different applications. A variety of materials, such as metals [
12,
13,
14,
15,
17,
18,
19], ceramics [
20,
21,
22,
23,
24], polymers [
25,
26], nanomaterials [
16], and composites [
27,
28,
29], were investigated for their possible applications in cavitation conditions.
Some of the conditions related to cavitation are present in metallurgy, especially in different processes that could be characterized by high temperatures and high levels of erosion caused by solid (solid particles in furnaces, or flue gas), liquid (liquid metals or alloys), and gas (flue gas), influencing the refractory lining. Refractory lining in most furnaces is built by using various ceramic materials for the different zones depending on the process, temperature, and chemical regime.
There are many conventional and modern methods for ceramics production. Methods that are mainly utilized nowadays are cold pressing (CP), hot pressing (HP), hot isostatic pressing (HIP), spark plasma sintering (SPS), flash sintering (FS), and microwave (MW).
Cold pressing is a simple and economical technique that is still used in mass production industries. This process includes using compaction pressure in a mold (usually made of steel) at room temperature. The pressing is followed by pressure-less sintering so that the pressed ceramic part reaches the final state.
Hot pressing is based on using a uniaxial pressure (10–30 MPa) through a mold at the sintering temperature, which accelerates the densification, thus improving the overall material’s density and even getting close to the theoretical value in a reasonable time as well as providing a significant grain size reduction [
30,
31]. Hot isostatic pressing implies concurrent application of high temperature (up to 2200 °C) and a gas pressure (200–500 MPa) identically in all directions, usually through an impermeable membrane to compact the ceramic component. It provides producing fully dense parts and achieving practically theoretical density with limited grain growth. For example, post-sintering treatment by HIP is applied to eliminate residual porosity during production of transparent ceramic parts. This technique is mainly used for engineered ceramics requiring optimum properties for high-performance applications, such as glass–ceramic nuclear wasteforms [
30,
32,
33].
Spark plasma sintering is an advanced processing technology that has been developing significantly in the last three decades. This is a synthesis and processing method that enables sintering and sinter bonding at low temperatures and in short periods by discharging between the powder particles’ surfaces and/or secondary in gas discharge and Joule heating [
30]. Enhanced densification is attributed to the elimination of the adsorbed gas and impurity because of the spark’s discharge.
Advanced ceramic materials such as nano-structural ceramics, functionally graded materials, fine ceramics, ceramic matrix composite materials, new wear-resistant materials, thermoelectric semiconductors, and biomaterials are produced by this technique. Due to the accelerated densification and the fast-sintering cycles, SPS has become a leading method for producing transparent ceramic materials. The advantage of this method over others is that homogenous highly dense sintered compacts with finer microstructures are obtained faster and at lower temperatures than by conventional sintering methods [
34,
35,
36,
37].
Flash sintering is a novel technique for ceramic processing in a conventional sintering furnace at low temperatures in a very short time by the application of an electric field. The specimen is attached to two platinum electrodes, allowing the passage of current. A specimen temperature enhance encourages the conductivity raise, enabling sintering within seconds. High fields allow sintering to high densities almost instantly above a critical temperature.
The significant reduction in temperature and time makes this technique a more energy-efficient alternative for materials processing and relevant in case of the presence of volatile elements in the material [
38,
39].
The microwave technique involves high heating rates and rapid processing times with direct homogeneous heating of the material by electromagnetic radiation through energy conversion. This nonconventional technique has been successfully developed to fulfill industry demands for reducing energy consumption and processing time, as well as for improving materials properties [
40,
41].
Considering technical and economic parameters, refractory coatings are often used for different zones in furnaces, and the most-utilized protective coating is related to foundry production [
42]. As the coating is in direct contact with the hot metal stream, cavitation testing can provide useful information regarding the material’s behavior and lifetime under these conditions. A lifetime of refractories, including protective coatings, is a very important techno-economical parameter. Prolongation of the lifetime of refractory lining could be provided using different coatings. In this paper, the attempt was to use classical cavitation testing in water to measure the level of degradation. Similar conditions with significant degradation level for refractory service could be expected with gases and liquid metal flows. The obtained results could be implemented for prediction of the degradation level of a refractory coating in contact with a hot metal stream and correlated with other mechanical properties, such as mechanical strength.
For the assessment of refractories’ behaviors during their service lives, various destructive and non-destructive inspection methods, including image and principal component analyses, as well as ultrasonic measurements, can be applied in simulated real conditions, in this case, under cavitation exposure.
A variety of testing techniques found in many disciplines produce large datasets that should be analyzed to obtain results. To offer the appropriate interpretation of such datasets, many different methods have been developed with the aim of reducing their dimensionality. One of the oldest and most widely used techniques is a multivariate statistical analysis- principal component analysis (PCA). Its idea is simple; reduce the dimensionality of a dataset while preserving as much “variability” (i.e., statistical information) as possible. PCA is used for standardization of the range of continuous initial variables, computation of the covariance matrix to identify correlations, computation of the eigenvectors and eigenvalues of the covariance matrix to identify the principal components, creation of a feature vector to decide which principal components to keep, and recast the data along the principal components’ axes [
43,
44,
45].
The first task of the PCA is to determine the linear combination of the original variables that will have the maximum variance. Another task is to determine several linear combinations of the original variables, which, in addition to having the maximum variance, will be mutually uncorrelated, losing as little as possible of the information contained in the set of original variables. In the process of applying this method, the original variables are transformed into new variables (linear combinations) called principal components. This transformation is obtained by rotating the variables, as shown in
Figure 1. Objects are shown with circles, crosses, squares, and pluses.
In
Figure 1, the principal components are identified in the plane that optimally describe the largest variance of the data. This space after rotation can be represented as a two-dimensional component space. Coefficients close to zero suggest that the corresponding original variable does not significantly participate in the formation of the principal component.
As the refractories based on talc have low hardness, an attempt to strengthen the material by adding zeolite and thus improve their cavitation resistance was made in this study. The aim was to investigate and compare behavior of synthesized and afterward sintered refractory samples with zeolites from two deposits in simulated cavitation conditions using the advanced methodology for characterizing the material performance without causing damage. This methodology is based on non-destructive evaluation that includes image analysis with principal component analysis and ultrasonic measurements, combined with scanning electron microscopy. By compiling different approaches, the possibility of using talc-based refractories with zeolite as protective coatings under cavitation conditions will be assessed.
3. Results and Discussion
3.1. Macrostructure and Microstructure Analysis
Macrophotographs of the refractory talc-based samples with zeolite before and during the cavitation testing are displayed in
Figure 6.
According to
Figure 6, damage propagation with increasing cavitation exposure time of both talc-based refractory samples is evident, whereby those with Zlatokop zeolite were more destructed.
SEM images for the refractory samples after 80 min of testing are given in
Figure 7.
As seen in
Figure 7, unlike the sample with zeolite Igros, the sample with zeolite Zlatokop after the same period of exposure to cavitation (80 min) showed severe erosive damage with craters and chunks of removed material.
Detailed information about the pits’ formation and the morphology of the resulting pits were obtained using morphological analysis.
3.2. Mass Loss
The mass loss of talc-based refractory samples with 15% zeolite Igros and 15% zeolite Zlatokop is shown in
Figure 8.
As seen in
Figure 8 the mass loss of both refractory samples increases with the increasing testing time. Larger values for mass loss were measured for a sample with zeolite “Zlatokop”. A slight rise in the mass loss for a sample with zeolite “Igroš” during the testing indicated its better resistance to cavitation. The dependence mass-loss time was continual, and, therefore, cavitation periods could not be accurately distinguished.
3.3. Monitoring the Surface Damage by Image Analysis
The refractory samples before and during the cavitation exposure were photographed and subjected to image analysis using Image-Pro Plus software.
3.3.1. Surface Degradation Level
The first results of the application of Image-Pro Plus software referred to the determination of the surface degradation level of the samples based on photographs obtained using a scanner with appropriate resolution (1200 dpi). An illustration of the Image-Pro Plus analysis was given on an example macrophotograph (talc-based refractory sample with Igros zeolite after 80 min of cavitation exposure),
Figure 9.
The level of surface degradation was calculated as the ratio of the damaged area (sum of formed pits’ areas)
Pn to the original ideal surface area of the sample (radius 15 mm)
P0. The surface degradation level as a function of cavitation testing time is given in
Figure 10.
As seen in
Figure 10, during the entire period of cavitation testing, the surface destruction level increases. The samples before cavitation testing do not have detectable damages, which is also evident by visual inspection. After only 10 min of cavitation exposure, surface damage, or the appearance of pits, is observed, and, with time, the number of pits, i.e., the damaged surface area, increases. During the first 40 min of testing, this dependence of both samples is approximately linear, and the values of degradation level can be considered similar.
After 40 min of testing, the refractory samples exhibited different damage progression. While the surface destruction level of talc-based sample with zeolite Igros progresses very slowly, a faster propagation of damage is noticed for talc-based sample with zeolite Zlatokop.
The maximum value of surface destruction level at the end of the testing period of 26.4%, in regard to the total surface area, was recorded for the talc-based sample with zeolite Zlatokop sample. Although its cavitation resistance is lower compared to another sample, these results indicate both refractories’ good resistances to the cavitation’s impact.
It can be concluded that degradation level values agree with mass loss results.
The SEM analysis confirmed the results of mass loss and the level of surface degradation, which indicate the lower resistance to cavitation of the sample with Zlatokop zeolite.
3.3.2. Lifetime Modeling
To introduce a procedure for predicting behavior of talc-based refractory for coating application in cavitating conditions, the idea was to apply the experience with strength degradation modeling based on surface defects of the similar material, alumina-based refractories, with the 0.488 constant and, in the further step, to check the reliability of the obtained model.
Considering the previous attempts at lifetime modeling based on the level of surface degradation [
8], a similar model could be given for critical values of mechanical strength of talc-based refractories with zeolite due to cavitation erosion.
The strength degradation can be correlated with the cavitation exposure time or critical dimensions of some of the morphological parameters of formed pits. If a similar approach is used, the strength degradation during time is given by the following equation (Equation (3)):
where
σ is mechanical strength during testing,
σ0 is mechanical strength before testing,
Pn is the surface degradation level during the testing (%), and
P0 is the surface degradation level before the testing (%). The constant value of 0.488 has been availed based on the models formulated for alumina-based refractories [
8,
52].
The obtained modeling results, with normalized strength values, are given in
Figure 11a.
To validate the proposed model, strength was determined experimentally, and the validation results are shown in
Figure 11b.
According to the results presented in
Figure 11b, good correspondences between model and experimental strength values are evident for both samples. It follows that the proposed strength degradation model is reliable and applicable for the given type of refractory materials.
The critical cavitation conditions can be related to the critical strength value acceptable for the material application. The critical strength value of about 88% of the initial strength has been chosen.
A critical value of 88% of the initial strength is chosen as an example to illustrate how the proposed procedure can be conducted. For various materials in different applications, a higher critical strength can be used, such as 95% of the initial strength value. However, for different chosen strength values, critical time and morphological parameters can be determined as presented. It should be taken into account that special criteria were applied for materials in extreme conditions, which include cavitation. For example, the ASTM standard method for thermal shock resistance determines a critical temperature interval by the mean flexural strength reduction of minimum 30% [
53].
In the case of the refractory with zeolite Zlatokop, as seen in
Figure 11a, the critical strength of approximately 88% of the initial value corresponds to the cavitation exposure period of 60 min. Unlike for the refractory with zeolite Igros, the critical exposure time when the strength is degraded to 88% of the initial is obtained by extrapolation. Namely, the Origin program was used for extrapolating the level of degradation illustrated in
Figure 10. Firstly, the experimental points for degradation level were extrapolated to 25 points in the time range 0–180 min, and, afterward, the polynomial fit was applied. The results are given in
Figure 12.
According to the fitting curve in
Figure 12, for the chosen critical strength of 88% of the initial, it follows that the corresponding critical exposure time is 150 min.
3.4. Monitoring the Interior Damage by Ultrasonic Method
The obtained values of ultrasonic pulse velocities were used to calculate the Young’s elasticity modulus of both refractories before and during the cavitation exposure. The decline of Young’s elasticity modulus as a function of testing time is presented in
Figure 13.
According to the graphs in
Figure 13, a decrease in Young’s elasticity modulus during the cavitation exposure is evident. This leads to the conclusion that the damage, in addition to surface progression (
Figure 10), also propagates through the interior of the material and increases with the passage of cavitation testing time.
3.5. Morphological and Principal Component Analyses
Depending on the expected shape of formed degradation, in this case, pits, different morphological parameters (descriptors) can be used for analysis.
For the PCA, the following descriptors were used: Area, Diameter (max, mean, and min), Perimeter, Radius (max and min), Radius Ratio, Roundness, and Fractal Dimension (
Table 6). PCA was applied to the dataset of values for isolated pits (damages marked in
Figure 6) obtained using Image-Pro Plus software. Results for selected morphology parameters and for both tested materials during exposure to cavitation are presented in
Figure 14.
Selected descriptors, including Area, Perimeter, Diameter (max, mean, and min), Radius (max and min), Radius ratio, and Roundness proved to be the most informative for both tested materials, so they were subjected to further analysis. The results of the PCA analysis showed that the maximum amount of variance is described by grouping the descriptors into two main components PC1–PC2, whereby most of the parameters are found in PC1, and only a small percentage of the variance is covered by the second component PC2, so those descriptors can be excluded from further analysis.
According to the results of multivariate analysis, the difference with the selected morphological descriptors can be observed by comparing talc-based samples with various zeolite types. For both tested materials and almost the entire testing period, the most informative parameters were Radius (max) and Radius ratio (for the samples with zeolite Igros) or Radius (min) and Diameter (min) (for the samples with zeolite Zlatokop) since these variables had values close to 1 and were strongly correlated with PC2. These results indicated that mentioned parameters should be observed in order to monitor changes in surface defects. The parameters that could be excluded from further analysis were outlined in a red color since these variables had values closer to 0, indicating a weak influence on the PC1. More precisely, they were not sufficiently informative because they did not carry data that could precisely describe the defects.
Regarding the samples with Igros zeolite, at the beginning of the testing, for 10 and 20 min of cavitation exposure, it can be noticed that the damages that arose had very similar shapes since the variances in the selected parameters were almost the same, with variables clustered together and outlined in red. The parameters that could be excluded from further analysis were Radius ratio and Radius (max). After 30 to 80 min of cavitation exposure, Radius (min) could be excluded, as well as the Diameter (min) for 40, 60, and 80 min.
For the samples with Zlatokop zeolite, Radius (min) could be excluded for all exposure periods. With the passage of time, different descriptors could be excluded, for example, for 30, 60, and 70 min Diameter (min). For the period of 80 min, the situation was different, as, in addition to Radius (min), other descriptors (Diameter (mean), and Fractal dimension), could be excluded.
Based on the PCA analysis, it can be concluded that the basic similarity between these two tested materials is that Radius (min) can be excluded for most cavitation exposure periods for both samples, as a parameter that does not contribute significantly to the total variance.
According to the used lifetime model, for the sample with zeolite Igros, the predicted critical exposure time of 150 min indicates its better cavitation resistance compared to the sample containing zeolite Zlatokop, with a critical exposure time of 60 min, based on the strength degradation diagram (
Figure 11).
For critical exposure periods, critical morphological parameters can be obtained. Based on the interpolation (for the sample with zeolite Zlatokop) and extrapolation (for the sample with zeolite Igros), some critical morphological descriptors such as Area and Diameter (max and min) were obtained and given in
Table 7. (To extrapolate the critical values of the morphological parameters for the sample with zeolite Igros, linear regression in the Origin program was used. After linear fitting, critical values were read for the critical exposure time of 150 min from the fitted curve for each morphological parameter.)
Extrapolation applied for the sample with zeolite Igros only indicated possible values of critical morphological parameters. However, it was very hard to predict these values, considering that two mechanisms—pits formation and pits growth—appeared simultaneously.
According to the presented results, the expected diameters for both refractories had similar values, but the fact is that these dimensions were expected after a much longer time of cavitation when testing for the sample with Igros zeolite. The critical area (average area of the pit) for the sample with Igros zeolite could be much smaller than for the other sample, whereas the differences for the total area were lesser.
As the surface degradation level was used to predict the strength, the variability of the chosen morphological parameter with strength could be presented in diagram Area against the surface degradation level and Diameter against the surface degradation level (
Figure 15).
4. Conclusions
In this study, behaviors in simulated cavitating conditions of manufactured talc-based refractories with zeolites from two deposits were examined and compared by a proposed methodology that included image and PCA analyses, strength degradation modeling based on surface defects, as well as internal destruction detected by ultrasonic measurements.
The results of mass loss and surface degradation level during the entire cavitation period exhibited trends in continual growth, whereby the values for the refractory sample with Zlatokop zeolite were always higher. The strength degradation model, based on the surface degradation, showed a strength decrease, which was more pronounced for the sample with Zlatokop zeolite. Experimentally determined strength values confirmed the reliability of the model. Principal component analysis indicated morphological parameters that were most informative to describe the defects. For the chosen critical strength, critical cavitation exposure period was determined along with critical morphological descriptors such as Area and Diameter (max and min) afterwards. The declines in ultrasonic pulse velocities, and Young’s elasticity modulus accordingly, indicated that the damage impacts spread from the surfaces towards the material’s interior. According to the XRD analysis of the sintered refractories, higher resistance to the cavitation erosion of the sample with Igros zeolite can be ascribed to the presence of the small amount of the Mg2Al2O5 phase, which was not detected in the sample with Zlatokop zeolite.
By compiling different approaches, consistent results were obtained, and the possibility of using talc-based refractories with zeolite as protective coatings under cavitation conditions was assessed. The proposed procedure and methodology for estimating refractory’s resistance in simulated cavitating conditions can be useful for industrial applications and predictions of sample behaviors in industrial control laboratories, but it should be adjusted and verified in real conditions. Also, this methodology could be applied for different materials and other processes that cause surface damage.