Accessibility / Report Error

Selective Solar Surface Solar Based on Black Chromium: Influence of Electrodeposition Parameters in the Absorption of Surfaces

Abstract

The search for the reduction of costs for the implementation of renewable energies implies in the optimization of the parameters of the manufacturing processes of consolidated technologies. Among these technologies are the solar collectors composed of absorber films characterized by high absorption in the spectrum range corresponding to solar radiation and low emittance in the infrared range, allowing an increase in the collector's operating temperature (300 to 700°C). The present work produced selective surfaces based on black chrome absorber films on stainless steel substrate by electrodeposition. The substrates were immersed in a chromium trioxide bath with hexafluorosilicic acid using a Pb-Sn electrode. In the project some parameters of deposition were evaluated (time, distance and voltage) and their influence on the surface roughness of the coatings obtained by correlating them with the absorptions of the produced surfaces. For this, the surfaces produced were characterized by UV-Vis-NIR, profilometry and SEM. The results indicate that the working distance directly influenced the increase of the films absorption and that the influence of the surface roughness on the film absorption is related to the electrodeposition time as the voltage is raised.

Keywords:
selective surfaces; black chromium; electrodeposition; solar energy


1. Introduction

The study of renewable sources of energy has become extremely relevant ahead of the growing world demand for energy11 de Medeiros IDM, da Silva Neto JF, Leite KS, da Silva AKB, Gomes KC. Eletrodeposição de filmes de cromo negro em substratos de cobre para absorção solar. Enciclopédia Biosfera. 2017;14(26):1370-1379.. Among these sources, solar energy stands out. One of its forms of exploitation is through the use of solar collectors, which promote the conversion of solar energy into thermal energy22 Cao F, McEnaney K, Chen G, Ren Z. A review of cermet-based spectrally selective solar absorbers. Energy & Environmental Science. 2014;7(5):1615-1627.. This conversion might have its efficiency amplified by the use of special coatings, called selective surfaces, which absorb the maximum possible radiation in the ultraviolet, visible and near infrared (UV-Vis-NIR) range of the electromagnetic spectrum33 Aguilar M, Barrera E, Palomar-Pardavé M, Huerta L, Muhl S. Characterization of black and white chromium electrodeposition films: surface and optical properties. Journal of Non-Crystalline Solids. 2003;329(1-3):31-38., while emitting little in the medium and distant infrared region, that is, they have an absorptance above 85% and emittance below 15% in the wavelength ranges mentioned44 Nunes RAX, Costa VC, Sade W, Araújo FR, Silva GM. Selective Surfaces of Black Chromium for Use in Solar Absorbers. Materials Research. 2018;21(1):e20170556..

In addition to these optical characteristics, it is necessary that the coating does not suffer significant degradations during the lifetime of the collector. As a result, the selection of the most suitable deposition technique is fundamental for a good system performance. However, there are several techniques for obtaining selective solar coatings, such as: Electrodeposition, Chemical Vapor Deposition, Sputtering, Chemical Oxidation and Sol-Gel55 Kennedy CE. Review of Mid-to High-Temperature Solar Selective Absorber Materials. Golden: National Renewable Energy Laboratory; 2002..

Among these, the electrodeposition technique excels for its simplicity, low cost and possibility of large-scale production33 Aguilar M, Barrera E, Palomar-Pardavé M, Huerta L, Muhl S. Characterization of black and white chromium electrodeposition films: surface and optical properties. Journal of Non-Crystalline Solids. 2003;329(1-3):31-38., apart from making films with great hardness and mechanical resistance in addition to excellent optical and thermal proprieties66 Lee DB. Oxidation of Cr-C electroplating between 400 and 900° C in air. Materials and Corrosion. 2008;59(7):598-601.. Regarding the type of material, black chromium is one of the most used coatings for the efficient conversion of solar energy into thermal energy, that along with the electrodeposition technique compose the set of fundamental characteristics for high performance77 Jafari S, Rozati SM. Characterization of black chrome films prepared by electroplating technique. In: World Renewable Energy Congress 2011 - Sweden; 2011 May 8-13; Linköping; Sweden. Linköping University Electronic Press; 2011. p. 3999-4005..

To assemble a reproducible electrochemical process of a black chromium, adhesive and homogeneous film on a metallic substrate with well defined optical and mechanical properties it is necessary to control all the electrochemical parameters involved and to understand their influence77 Jafari S, Rozati SM. Characterization of black chrome films prepared by electroplating technique. In: World Renewable Energy Congress 2011 - Sweden; 2011 May 8-13; Linköping; Sweden. Linköping University Electronic Press; 2011. p. 3999-4005.. Therefore, the objective of the present study is to determine the set of parameters (voltage, anode-cathode distance and time) that produce selective black coatings electrodeposited on stainless steel substrates with the highest level of absorption in the UV-Vis-NIR region, and to correlate this maximum absorption with the thickness and the roughness of the obtained film.

The absorptance in thin films is the ratio of the amount of radiation absorbed by a solid to the amount of radiation incident on that solid. Therefore, when it is intended to evaluate the absorptance in the radiation range comprising the solar spectrum, it is necessary to verify how much of this radiation is absorbed by the solid. This parameter can be calculated from Equation 1 88 Çengel YA, Ghajar AJ. Heat and Mass Transfer: Fundamentals and Applications. New Delhi: Tata McGraw-Hill; 2011., shown below.

(1) α = 300 2500 α λ I sun d λ 300 2500 I sun d λ

Where αλ is the spectral absorptance of the solid, Isun is the spectral distribution of the solar irradiation and α is the total hemispherical absorptance.

Considering the solid to be opaque, so, there is no radiation transmitted through it, the following equation is obtained:

(2) α = 300 2500 1 ρ λ I sun d λ 300 2500 I sun d λ

Where ρλ is the spectral reflectance of the solid.

It is therefore observed from Equation 2 that the absorptance of opaque solid materials can be calculated by measuring its spectral reflectance, which can be done from appropriate analytical techniques, such as UV-Vis-NIR spectrophotometry.

2. Experimental Techniques

2.1 Substrate cleaning

The black chrome coatings were electrodeposited on AISI 304 stainless steel substrates with dimensions of 20 mm x 30 mm x 3 mm. Before electrodeposition, the substrates were cleaned in order to eliminate any impurities that would influence the results and to allow a good adhesion between the film and the substrate99 Sheu HH, Lu CE, Lee HB, Pu NW, Wu PF, Hsieh SH, et al. Electrodeposition of black chromium-cobalt alloy based on trivalent sulfate electrolyte. Journal of the Taiwan Institute of Chemical Engineers. 2016;59:496-505.. They were initially submitted to a degreasing bath. Then, a solution of 0.768 g/ml of citric acid was prepared, which was diluted for 5 min at 50 °C. The substrates were then immersed in this heated solution, where they remained for 30 min. After that time, the samples were removed from the solution and placed in a beaker with isopropyl alcohol, where they were submitted through an ultrasonic bath for 15 min, being subsequently washed in distilled water, dried and stored.

2.2 Electrolytic bath

The black chromium electrodeposition of the present study used a bath composed of 274 g/l of chromium trioxide (CrO3) and 0.854 g/l of hexafluorosilicic acid (H2SiF6). The temperature of the bath varied from 24 to 30°C and the electric current density was in the range of 11 to 54 A/dm². These measurements are due to the applied voltage and the components of the electrochemical bath. However, the determined values are consistent with the literature. Daryabegy and Mahmoodpoor1010 Daryabegy M, Mahmoodpoor AR. Method of manufacturing absorbing layers on copper for solar applications (I). IESCO Journal of Science and Technology. 2006;2(1):35-39., for example, worked with the temperature ranging from 26 to 35°C and current density of 19 A/dm² using the same components as the bath under analysis.

The variation of temperature and electric current density occurred due to the fact that the voltage source used only allowed the adjustment of the voltage, while the current oscillated as a function of this voltage. The source used was the continuous current one from the brand Agilent, model E3631A. For the electrodeposition, the substrate was connected to the negative pole (cathode) of the power supply, while a Pb-Sb alloy (95-5%) was connected to the positive pole (anode).

2.3 Electrodeposition parameters

During the electrodeposition process, some parameters may affect the morphology and the performance of the obtained film22 Cao F, McEnaney K, Chen G, Ren Z. A review of cermet-based spectrally selective solar absorbers. Energy & Environmental Science. 2014;7(5):1615-1627.. Moise et al.1111 Moise V, Cloots R, Rulmont A. Study of the electrochemical synthesis of selective black coatings absorbing solar energy. International Journal of Inorganic Materials. 2001;3(8):1323-1329., for example, cite the chemical composition of the bath, the current density and the temperature at which the electrodeposition occurs as parameters to be taken into account to obtain a reproducible coating.

While Window et al.1212 Window B, Ritchie IT, Cathro K. Selective electroplated chromium blacks. Applied Optics. 1978;17(16):2637-2644. emphasized the interference of time, performing electrodepositions between 20 and 80 seconds. Sheu et al.99 Sheu HH, Lu CE, Lee HB, Pu NW, Wu PF, Hsieh SH, et al. Electrodeposition of black chromium-cobalt alloy based on trivalent sulfate electrolyte. Journal of the Taiwan Institute of Chemical Engineers. 2016;59:496-505. preferred to evaluate the behavior of the film as a function of the current density variation from 10 to 70 A/dm2. In contrast, Spitz et al.1313 Spitz J, Van Danh T, Aubert A. Chromium black coatings for photothermal conversion of solar energy, part I: Preparation and structural characterization. Solar Energy Materials. 1978;1(3-4):189-200. adopted the anode-cathode distance variation as one of their electrodeposition variables. From the above, it can be seen that many are the parameters studied in the literature.

As a result, the present study chose to vary three parameters of electrodeposition (voltage, anode-cathode distance and time), since these are the ones that present greater possibilities of modifications allowing a greater range of study. So that eight samples were obtained, so that three specimens were produced for each set of parameters, totaling the production of 24 samples, according to Table 1.

Table 1
Samples obtained with the variation of the parameters.

The choices of voltage values (5 and 6 V), anode-cathode distance (5 and 10 cm) and time (5 and 10 min) were based on literature studies. According to Daryabegy and Mahmoodpoor1010 Daryabegy M, Mahmoodpoor AR. Method of manufacturing absorbing layers on copper for solar applications (I). IESCO Journal of Science and Technology. 2006;2(1):35-39. the appropriate time for electrodeposition of black chromium is 0.5 to 5 minutes. In terms of anode-cathode distance, Spitz et al1313 Spitz J, Van Danh T, Aubert A. Chromium black coatings for photothermal conversion of solar energy, part I: Preparation and structural characterization. Solar Energy Materials. 1978;1(3-4):189-200. used 4 and 7 cm, while Lee66 Lee DB. Oxidation of Cr-C electroplating between 400 and 900° C in air. Materials and Corrosion. 2008;59(7):598-601. adopted 5 cm. Through these works, the time and the distance of 5 min and 5 cm, respectively, were chosen. While 10 min and 10 cm were used in order to investigate if larger times and distances would provide films with higher absorption.

Regarding the voltage, since the equipment used in the present study did not allow the study of the current density, the voltage was chosen to represent this parameter. So, through the works of Sheu et al.99 Sheu HH, Lu CE, Lee HB, Pu NW, Wu PF, Hsieh SH, et al. Electrodeposition of black chromium-cobalt alloy based on trivalent sulfate electrolyte. Journal of the Taiwan Institute of Chemical Engineers. 2016;59:496-505. and Daryabegy and Mahmoodpoor1010 Daryabegy M, Mahmoodpoor AR. Method of manufacturing absorbing layers on copper for solar applications (I). IESCO Journal of Science and Technology. 2006;2(1):35-39., a mean of tension was determined in which the best results of these works were obtained.

2.4 Characterization of selective films

The main parameter to be evaluated, regarding the optical properties of the selective films, is the ability of these materials to absorb solar radiation. For this purpose, the electrodeposited coatings were subjected to UV-Vis-NIR spectrophotometry. The equipment used was a Spectrophotometer in the region of UV-Vis-NIR, by Shimadzu, model UV-2600 operating in the region of the electromagnetic spectrum from 220 nm to 1400 nm with measurement of reflectance, using the integrating sphere accessory that allows the analysis of films.

This characterization was used to determine the reflectance of the coatings. Knowing that, according to Kirchhoff's law, the sum of the absorptance, transmittance and reflectance of a surface at a particular wavelength is equal to one1414 Sukhatme SP. Solar Energy - Principles of Thermal Collection and Storage. New Delhi: Tata McGraw-Hill; 2001.. This law can be written according to Equation 3 below:

(3) α + τ + ρ = 1

Where, α is the absorptance, τ is the transmittance and ρ is the reflectance of the surface.

On opaque surfaces in which the transmittance is zero1515 Kreider JF, Kreih F. Solar Energy Handbook. New York: McGraw-Hill; 1981., the equation takes the form below:

(4) α + ρ = 1 α = 1 ρ

Thus, to obtain the levels of absorption of the coating produced in the present study, the Equation 4 described above was applied.

The determination of the surface roughness of the electrodeposited films as well as the measurement of the thickness of the surfaces obtained on the steel were identified by the CCI MP non-contact optical profilometer, by Taylor Hobson, connected to a computerized unit containing Talysurf CCI software (Taylor Hobson, United Kingdom) for obtaining and analyzing the data.

For the determination of surface roughness, 14 uniformly spaced readings were obtained along each of the samples. So the value of Ra provided in the results is the average of these readings.

The determination of film thickness was obtained using the "step" method, in which only part of the substrate undergoes deposition. This methodology can be better understood by observing Figure 1, in which it exhibits the substrate before and after the procedure.

Figure 1
(a) region of the substrate that has been prevented from being deposited, (b) region of the substrate where the deposition will be made, (c) region of the substrate that was not covered during electrodeposition.

After the electrodeposition, the transition region was subjected to profilometry and it was possible to determine the thickness of the film, as can be observed in Figure 2.

Figure 2
Determination of the thickness in the sample 6.

The visualization of the morphological characteristics of the coatings was obtained through the use of a Scanning Electron Microscope (SEM) applying the operation principle of secondary electrons with environmental module. The microscope used was the Quanta 450 model, by FEI.

3. Results and Discussion

3.1 Spectrophotometry in the UV-Vis-NIR

The absorptive films produced by electrodeposition of black chromium, through alternation of voltage, anode-cathode distance and residence time in the electrolytic bath, were subjected to radiation with wavelengths in the range of 220 nm to 1400 nm, in order to determine spectral reflectance of these films. After the proper conversions to levels of absorptance, Figure 3 shows the results obtained on the steel substrate.

Figure 3
Average and standard deviation of the absorptance for the different absorber films deposited on steel substrates.

Through Figure 3, it is noticeable that sample 6 presented the highest levels of absorption and of absorption stability throughout the spectrum under analysis (220 nm to 1400 nm - with a mean of 94.60 %). When considering the standard deviation, sample 6 reached a maximum absorptance of 96%. This means that, regarding the electrodeposition parameters, the 5V and 5 cm distance between anode-cathode and the time of 5 minutes in the electrolytic bath allowed the best conditions in terms of absorption and stability.

The data shown in Figure 3 corroborate with the literature as observed in the work of Bayati et al.1616 Bayati MR, Shariat MH, Janghorban K. Design of chemical composition and optimum working conditions for trivalent black chromium electroplating bath used for solar thermal collectors. Renewable Energy. 2005;30(14):2163-2178. which determined that the electrodeposition time of 5 min provided and absorption around 91 to 96% in black chromium based absorber films. The smaller anode-cathode working distances are the ones that provide the best results, as was perceived by Spitz et al.1313 Spitz J, Van Danh T, Aubert A. Chromium black coatings for photothermal conversion of solar energy, part I: Preparation and structural characterization. Solar Energy Materials. 1978;1(3-4):189-200..

This can be explained by the fact that Newby1717 Newby KR. Functional chromium plating. Metal Finishing. 2000;98(1):223-224, 226, 228, 230-233. states that an excellent method for obtaining a uniform deposition thickness is to make the anode-cathode distance the same at all points of a part, which is more likely at smaller distances. Associated with the fact that Mandich1818 Mandich NV. Chemistry & Theory of Chromium Deposition: Part 1--Chemistry. Plating & Surface Finishing. 1997;84(5):108-115. reported that the ability of an electrochemical bath to uniformly deposit metal on the surface of the cathode is a measure of its throwing power, the geometrical properties of the system being that is the shape and the distance from the anode to the cathode an factors influencing this power. Hence, the smaller the distance, the greater the deposition capacity of the bath, which possibly increases the absorption of the film.

3.2 Optical perfilometry

The results of the measurement of the roughness parameter Ra of the coatings obtained on the steel substrate can be seen in Table 2, as well as the thicknesses (maximum, minimum and average).

Table 2
Parameter Ra of the electrodeposited films on the steel substrate and the film thicknesses.

Table 2 shows an increase in roughness (parameter Ra) as the voltage was increased. The same was evidenced by Sheu et al.99 Sheu HH, Lu CE, Lee HB, Pu NW, Wu PF, Hsieh SH, et al. Electrodeposition of black chromium-cobalt alloy based on trivalent sulfate electrolyte. Journal of the Taiwan Institute of Chemical Engineers. 2016;59:496-505. when studying the effects of the current density of the electrodeposition of black chromium coatings. As for the time, it was determined that the longer the electrodeposition time the larger the surface roughness obtained (parameter Ra). When establishing a relation with the absorptance, it was observed that the film that obtained the best response (sample 6) was also the one that presented the lowest level of roughness (Ra = 0.05 µm and average thickness of 3.63 µm).

In relation to the working distance, the roughness is smaller at smaller distances due to the power of the bath, which at lower distances produces a greater uniformity of the film produced by the increase1717 Newby KR. Functional chromium plating. Metal Finishing. 2000;98(1):223-224, 226, 228, 230-233.,1818 Mandich NV. Chemistry & Theory of Chromium Deposition: Part 1--Chemistry. Plating & Surface Finishing. 1997;84(5):108-115..

3.3 Scanning Electron Microscope (SEM)

The SEM analysis allowed the visualization of the surfaces of the films, thus enabling the comprehension of the solidification processes of the films. Figure 4 shows the surfaces of the coatings.

Figure 4
Micrography of films produced (Films 1 to 8).

The Figure 5 shows the surfaces of the coatings that obtained the lowest (sample 5) and highest (sample 6) absortance.

Figure 5
Micrography of (a) sample 5 and (b) sample 6.

The micrography of the present study corroborate with the literature, as in the work of Aguilar et al.33 Aguilar M, Barrera E, Palomar-Pardavé M, Huerta L, Muhl S. Characterization of black and white chromium electrodeposition films: surface and optical properties. Journal of Non-Crystalline Solids. 2003;329(1-3):31-38. which produced thin films of white and black chromium by electrodeposition on steel substrates, so that from the SEM analysis, they verified that black chromium has a lamellar morphology that leads to a strong level of dispersion, indicating a higher roughness coefficient of this film and, therefore, the dark appearance. Surviliené et al.1919 Survilienė S, Češūnienė A, Juškėnas R, Selskienė A, Bučinskienė D, Kalinauskas P, et al. The use of trivalent chromium bath to obtain a solar selective black chromium coating.Applied Surface Science. 2014;305:492-497. made black chromium films electrodeposited on steel substrates and realized through SEM that black chromium coatings have a micro-fissured structure with numerous lamellar crystals.

Protsenko et al.2020 Protsenko VS, Danilov FI, Gordiienko VO, Kwon SC, Kim M, Lee JY. Electrodeposition of hard nanocrystalline chrome from aqueous sulfate trivalent chromium bath.Thin Solid Films. 2011;520(1):380-383. observed that when the thickness of the coatings is not very high (~ 10 µm), the surface contains a large number of spheroids with different diameters (up to several micrometers), which coincides with that observed in Figure 2, in which the films have thicknesses smaller than 10 µm as shown in Table 2.

Thus, through the visualization of Figure 5b, it can be seen that a more uniform surface with the micro-fissured region in prominence, allowed the obtainment of higher levels of absorption.

4. Conclusion

The solar selective coating made of black chromium by the electrodeposition technique that obtained the highest level of absorption, with a mean of 94.6% and maximum of 96% in the UV-Vis-NIR range was the one produced with the voltage of 5V, the distance of 5 cm between anode-cathode and the time of 5 min in the electrolytic bath.

This set of parameters allowed the formation of a low roughness surface (Ra = 0.05 µm) when compared to the other films obtained, in addition to an average thickness of 3.63 µm.

This roughness was observed by SEM, in which it was determined that a greater uniformity allowed higher levels of absorption of the film under study.

5. Acknowledgement

Financial support for the present work was provided by the CAPES and CNPq. The authors wish to thank Rebeca Tibau and Isaque Porto of the Biomaterials and Rapid Solidification Laboratories of the UFPB to assist in the measurements of profilometry and microscopy, as well to the members of the Laboratory of Synthesis and Characterization of Thin Films by UV-Vis-NIR measurements.

6. References

  • 1
    de Medeiros IDM, da Silva Neto JF, Leite KS, da Silva AKB, Gomes KC. Eletrodeposição de filmes de cromo negro em substratos de cobre para absorção solar. Enciclopédia Biosfera 2017;14(26):1370-1379.
  • 2
    Cao F, McEnaney K, Chen G, Ren Z. A review of cermet-based spectrally selective solar absorbers. Energy & Environmental Science 2014;7(5):1615-1627.
  • 3
    Aguilar M, Barrera E, Palomar-Pardavé M, Huerta L, Muhl S. Characterization of black and white chromium electrodeposition films: surface and optical properties. Journal of Non-Crystalline Solids 2003;329(1-3):31-38.
  • 4
    Nunes RAX, Costa VC, Sade W, Araújo FR, Silva GM. Selective Surfaces of Black Chromium for Use in Solar Absorbers. Materials Research 2018;21(1):e20170556.
  • 5
    Kennedy CE. Review of Mid-to High-Temperature Solar Selective Absorber Materials Golden: National Renewable Energy Laboratory; 2002.
  • 6
    Lee DB. Oxidation of Cr-C electroplating between 400 and 900° C in air. Materials and Corrosion 2008;59(7):598-601.
  • 7
    Jafari S, Rozati SM. Characterization of black chrome films prepared by electroplating technique In: World Renewable Energy Congress 2011 - Sweden; 2011 May 8-13; Linköping; Sweden. Linköping University Electronic Press; 2011. p. 3999-4005.
  • 8
    Çengel YA, Ghajar AJ. Heat and Mass Transfer: Fundamentals and Applications New Delhi: Tata McGraw-Hill; 2011.
  • 9
    Sheu HH, Lu CE, Lee HB, Pu NW, Wu PF, Hsieh SH, et al. Electrodeposition of black chromium-cobalt alloy based on trivalent sulfate electrolyte. Journal of the Taiwan Institute of Chemical Engineers 2016;59:496-505.
  • 10
    Daryabegy M, Mahmoodpoor AR. Method of manufacturing absorbing layers on copper for solar applications (I). IESCO Journal of Science and Technology 2006;2(1):35-39.
  • 11
    Moise V, Cloots R, Rulmont A. Study of the electrochemical synthesis of selective black coatings absorbing solar energy. International Journal of Inorganic Materials 2001;3(8):1323-1329.
  • 12
    Window B, Ritchie IT, Cathro K. Selective electroplated chromium blacks. Applied Optics 1978;17(16):2637-2644.
  • 13
    Spitz J, Van Danh T, Aubert A. Chromium black coatings for photothermal conversion of solar energy, part I: Preparation and structural characterization. Solar Energy Materials 1978;1(3-4):189-200.
  • 14
    Sukhatme SP. Solar Energy - Principles of Thermal Collection and Storage New Delhi: Tata McGraw-Hill; 2001.
  • 15
    Kreider JF, Kreih F. Solar Energy Handbook New York: McGraw-Hill; 1981.
  • 16
    Bayati MR, Shariat MH, Janghorban K. Design of chemical composition and optimum working conditions for trivalent black chromium electroplating bath used for solar thermal collectors. Renewable Energy 2005;30(14):2163-2178.
  • 17
    Newby KR. Functional chromium plating. Metal Finishing 2000;98(1):223-224, 226, 228, 230-233.
  • 18
    Mandich NV. Chemistry & Theory of Chromium Deposition: Part 1--Chemistry. Plating & Surface Finishing 1997;84(5):108-115.
  • 19
    Survilienė S, Češūnienė A, Juškėnas R, Selskienė A, Bučinskienė D, Kalinauskas P, et al. The use of trivalent chromium bath to obtain a solar selective black chromium coating.Applied Surface Science 2014;305:492-497.
  • 20
    Protsenko VS, Danilov FI, Gordiienko VO, Kwon SC, Kim M, Lee JY. Electrodeposition of hard nanocrystalline chrome from aqueous sulfate trivalent chromium bath.Thin Solid Films 2011;520(1):380-383.

Publication Dates

  • Publication in this collection
    25 Feb 2019
  • Date of issue
    2019

History

  • Received
    19 Sept 2018
  • Reviewed
    26 Nov 2018
  • Accepted
    07 Jan 2019
ABM, ABC, ABPol UFSCar - Dep. de Engenharia de Materiais, Rod. Washington Luiz, km 235, 13565-905 - São Carlos - SP- Brasil. Tel (55 16) 3351-9487 - São Carlos - SP - Brazil
E-mail: pessan@ufscar.br