Temperature Range of Heating Rate Dependent Reactions Leading to Spinel Formation on a Ni-based Superalloy

doi:10.21203/rs.3.rs-2704980/v1

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Temperature Range of Heating Rate Dependent Reactions Leading to Spinel Formation on a Ni-based Superalloy

https://doi.org/10.21203/rs.3.rs-2704980/v1

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published 24 Jun, 2023

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Improved oxidation kinetics for a polycrystalline Ni-based superalloy used in turbine disc applications has been shown to be possible by controlling the heating rate of the first thermal exposure to 5°C min^− 1. The beneficial effect arises from the formation of a protective layer of NiCr₂O₄, instead of the more usually formed doped Cr₂O₃. This study shows that it was possible to form the NiCr₂O₄ at temperatures up to 725°C, within the operational conditions for this alloy, and that at higher temperatures Cr₂O₃ formed. The improvements in alloy performance extended to the internal oxidation processes where reduced depths of degradation were observed. It is demonstrated here that Al₂O₃ formation is less thermodynamically stable when the highly protective NiCr₂O₄ oxide is present at the alloy surface compared to the doped Cr₂O₃. Synchrotron XRD was performed on samples removed during the heating stage and provided evidence of the oxidation sequence occurring, enabling refinement in the thermodynamic calculations and suggesting an additional route to the formation of the NiCr₂O₄.

NiCr2O4

Spinel

Ni-based superalloy

Oxidation

High temperature oxidation resistance of alloys can be achieved with the formation of a surface layer of Al₂O₃, Cr₂O₃ or SiO₂ [1, 2]. Factors, such as the concentration of the oxidising species in the alloy and other minor alloying elements, have been found to promote the early establishment of a fully protective oxide at the surface of a nickel-based alloy and also to improve adhesion of the oxide scale to the alloy [1–9]. Spinels, of generic composition MN₂O₄, where M and N can be any of a number of elements including Ni, Co, Cr, Mn and Al, can also form under operational conditions in conjunction with Al₂O₃ and / or Cr₂O₃. However, the spinel group of oxides does not usually show the potential to provide a reliable barrier to oxidation [2, 5, 7, 10–15].

Recently, the formation of a continuous and protective NiCr₂O₄ spinel layer was shown to form on a nickel-based superalloy used for turbine discs applications for aero-engines [16, 17]. The reaction routes leading to the formation of this particular spinel and the catastrophic oxidation behaviour observed in the same study, where a duplex oxide layer formed with NiCo₂O₄ dominating, was found to be heating rate sensitive. The range of heating rates studied were 2 to ~ 100°C·min^− 1 and Synchrotron Grazing Incidence X-ray Diffraction (SGIXD) was used to identify the oxides formed [17]. Whilst the method was successful in identifying very thin oxides, it was not possible to unambiguously differentiate between compounds with near identical crystal structures, in particular, NiO & CoO and NiCo₂O₄ & Co₃O₄. It was, however, conclusive that NiO / CoO and spinels composed of Co and Ni formed during the heating stage up to the test temperature of 650°C, with the formation independent of heating rate. No evidence was found for Cr₂O₃ forming during the heating stage, instead this oxide and the NiCr₂O₄ spinel formed during the subsequent 100 hour isothermal exposure at 650°C. When the alloy was heated at 5°C·min^− 1 it was postulated that a sufficiently thick and continuous NiO layer had formed across the surface of the alloy which acted as a precursor in the subsequent reaction: -

4NiO + 2Cr = NiCr₂O₄ + 3Ni [1]

It was proposed that the continuous nature of the initial NiO layer in contact with the alloy formed during the heating stage, and Cr from the alloy, led to a reaction given in Eq. [1]. The resultant spinel formed a continuous layer across the surface of the alloy. Calculations of the Gibbs free energy of formation for all the possible oxide reactions concluded that, with the presence of the NiO, the pO₂ had the greatest influence at the reaction site for the subsequent oxide formation. This showed that the reaction presented in Eq. [1] was thermodynamically similar to Cr₂O₃ formation at the same location, i.e., underneath a growing NiO.

In the earlier work some constraints in the spinel formation were identified, e.g., at the lowest heating rate investigated, 2°C·min^− 1, non-protective catastrophic oxidation behaviour was observed [17]. This behaviour has also been reported to occur following a heating rate of 5°C·min^− 1 on a Ni 25Cr alloy [13]. The upper heating rate boundary, between 10 and 40°C·min^− 1, was not clearly defined in our earlier work and the only test temperature investigated was 650°C.

In this paper the reproducibility of the formation of the protective NiCr₂O₄ layer is demonstrated. The oxidation kinetics presented are based on mass gain values and demonstrate lower oxidation rates for the NiCr₂O₄ compared to the more usual Cr₂O₃ formed on this alloy [18–21]. The study here is extended to a wider range of temperatures with an upper temperature limit encountered. The potential for this oxide to improve the oxidation performance of alloys is also discussed.

The composition of the polycrystalline nickel-based superalloy used in this study, RR1000, is given in Table 1, [22].

Table 1

Nominal composition of RR1000 [22].
	Ni	Co	Cr	Al	Ti	Ta	Hf	Zr	Mo	B	C
wt·%	bal.	18.5	15.0	3.0	3.6	2.0	0.5	0.06	5.0	0.015	0.027
at·%	bal.	16.5	18.0	6.4	4.3	0.63	0.16	0.04	3.0	0.08	0.13

Coupon specimens measuring 20 × 10 × 3 mm³ were supplied in a proprietary heat-treated condition. The surfaces of the specimens were ground, using water as a lubricant, on successively fine SiC paper down to 1200 grit and polished using diamond suspension down to a 1 µm finish, following the protocol used previously [17]. The edges of specimens were also chamfered to reduce stress accumulation associated with oxide growth at sharp angled corners and edges. The specimens were measured, ultrasonically cleaned in ethanol, weighed and stored in a desiccator prior to testing. Batches of 4 to 6 specimens were placed in clean alumina boats and placed in a tube furnace equipped with a programmable controller, at room temperature. The controller was set to heat to 650, 675, 700, 725 or 750°C at a heating rate of 5°C·min^− 1. The duration of the heating stages ranged from 125 to 150 mins. During heating, the temperature within the hot section was monitored independently using a calibrated N-type thermocouple, ensuring that the required heating rate was achieved. Once the specimens had reached the test temperature the alumina boats were removed from the furnace and cooled in laboratory air. The samples were reweighed and stored in a desiccator. For most temperatures, at least two batches of samples were exposed to each end temperature to assess the reproducibility of the heating rate effect, no batch-to-batch variations in the oxidation behaviour were found.

For subsequent thermal exposures under atmospheric air conditions, the specimens were placed in alumina boats and inserted into furnaces at temperature, i.e., the specimens experienced rapid heating to the test temperature for this part of the testing programme. Great care was taken to ensure that the furnace temperatures did not exceed the test temperature and each furnace was logged throughout using independent thermocouples. Testing over the temperature range of 650 to 750°C was conducted with specimens exposed for periods of 100 hours. On completion of each time period, the specimens were removed from the furnace and allowed to cool to room temperature followed by weighing and storage in a desiccator. Mass change data were collected every 100 hours for times up to 1000 hours. Thermal cycling was chosen for the testing procedure to enable the collection of the mass change data for statistical evaluation and was also to assess the durability of the NiCr₂O₄ spinel under multiple thermal transients.

To examine the heating stage in more detail, samples of the alloy were prepared to the same surface condition and were placed in individual alumina boats and inserted into a furnace at room temperature and heated up at a rate of 5°C.min^− 1. A sample was removed when the temperature reached 200, 400, 630 or 800°C. These samples, representing the oxidation process occurring along the heating stage, were examined in the I11 beam line at the Diamond Light Source using Synchrotron X-ray Diffraction in grazing incidence configuration, SGIXD. The X-ray measurements were acquired with a 15 keV energy (wavelength of 0.8264 Å), which was calibrated against a NIST 640c Si standard. Each sample was mounted onto the sample stage of the diffractometer using a carbon tab; samples were aligned such that the incident beam was inclined to the sample surface by 1°. Diffraction patterns were acquired over a 2θ scan range 3-150° using the high-resolution Multi-Analysing Crystals (MAC) detector. The scan time for each sample was 30 minutes, collected with angular increment of 0.001°. To improve the signal-to-noise ratio the data was re-binned into 0.02° intervals.

Selected specimens were sectioned and prepared for metallurgical examination. These were mounted in cold resin under vacuum. The cross-sections were revealed by grinding on SiC papers from 400 to 1200 grit using water as a lubricant. The sections were polished using 6 µm followed by 1 µm diamond suspension in a water-based lubricant and finished on a Si sol. The specimens were ultrasonically cleaned between each stage.

Kinetics

Measurements of the specific mass change data against time are shown in Fig. 1, each sample is represented by an individual symbol. Also included, solid line, are the kinetics determined for this alloy under standard oxidising testing procedures with a fast, > 100°C min^-1, heating rate to the test temperatures [18–20]. At 650, 675 and 700°C, Figs. 1 (a), (b) and (c), respectively, the kinetics of the oxide growth for the specimens heated at 5°C min^-1 were lower than that determined for the alloy following a fast-heating rate. Testing at 750°C, Fig. 1 (d), however, revealed no difference in the kinetics obtained for either heating rate. No further testing was conducted at 750°C. Some preliminary testing was conducted at 725°C and the data showed that the kinetics replicated the slower kinetics found at 700°C and below.

Parabolic kinetic behaviour is well established for many metals and alloys [23], and is described by:-

\({(\varDelta m)}^{2}={k}_{p}t+C\) ( 2 )

where (Δm) is the specific mass change in mg·cm^− 2, t is time in seconds, k_p is a parabolic rate constant in mg·cm^− 2·s^− 1 and C is a constant which for many purposes is 0 mg·cm^− 2.

The means of the mass gain values from all samples at each temperature were calculated and the square of these means were plotted against time, Fig. 2. This shows that the data fits well to parabolic kinetics with the gradient providing the parabolic rate constant for each temperature, Table 2. Also included in Table 2 is the data obtained at 725°C. Note the significant increase of the k_p when the temperature changed from 725°C to 750°C.

Table 2

Parabolic growth kinetics at each temperature, note the significant increase in k_p when the temperature increases from 725 to 750°C.
Temperature / ºC	k_p / mg² cm^-4 s^-1
650	2.38 x 10^–10
675	4.02 x 10^–10
700	12.82 x 10^–10
725	17.53 x 10^–10
750	217.8 x 10^–10

The data up to and including 725°C was fitted to the Arrhenius equation:-

\({k}_{p}=A{e}^{(-Q/RT)}\) ( 3 )

where k_p is a rate constant for the process being studied in mg²cm^− 1s^− 1, A is a pre-exponential factor, Q is the activation energy for the oxidation process in J.mol^− 1, R is the gas constant of 8.314 J K^− 1 mol^− 1 and T is temperature in K.

The Arrhenius plot shown in Fig. 3 emphasises the step change in the oxidation kinetics from the lower values up to 725°C and that determined at 750 ºC. Also included in Fig. 3 are: lower solid line showing the fit to the data collected in this study up to the including 725 ºC, and the upper solid line taken from refs [18–20] where a fast heating rate was used.

The gradient for the data plotted, following the 5 ºC·min^-1 heating rate up to 725 ºC, gave an activation energy of 205 kJ·mol^-1 for the oxidation reactions, compared to the value of 286 kJ·mol^-1 determined for the alloy following a fast-heating rate [18, 20]. This demonstrates the reproducibility of the improvement in the oxidation behaviour of this alloy up to and including 725°C, which is associated with a heating rate of 5°C·min^-1 for the initial thermal exposure. Note that all subsequent thermal exposures had a fast, i.e., > 100°C·min^-1, heating rate.

The Arrhenius equation describing the oxidation behaviour of this alloy, following a heating rate of 5°C·min^-1 is:-

\({k}_{p}=90 {exp}^{\left(-\frac{\text{205,000}}{RT}\right)} {mg}^{2}·{cm}^{-4}·{s}^{-1}\) ( 4 )

SGIXD examination of samples removed during heating stage

The SGIXD traces of the samples removed at pre-determined temperatures during the initial heating stage, where the heating rate was set as 5°C·min^− 1, are presented in, Fig. 4. The SGIXD showed no evidence of oxide formation at 200 ºC. At 400 ºC, NiO formation was observed. At 630 ºC, NiO continued to form, and peaks associated with NiCo₂O₄ were also observed. At 800 ºC, NiO, NiCr₂O₄, NiCo₂O₄, TiO₂ and Cr₂O₃ were present. The peaks associated with NiO oxide formation increased with temperature, however the NiCo₂O₄ appeared to diminish at 800 ºC, unlike the peaks associated with NiO. Crystalline Cr₂O₃ was only found at 800 ºC and not at the lower temperatures, similarly for the TiO₂. The latter agrees well with the earlier finding in ref 17 where no Cr₂O₃ or TiO₂ were found to form during that wider heating rate investigation where the test temperature was 650 ºC.

SEM Examination

SEM examination of the surfaces of the specimens showed a clear difference in oxide morphology compared to that previously reported for this alloy following a fast-heating rate. In previous work, polished alloy surfaces developed a relatively uniform protective layer with enhanced growth at grain boundaries [18]. In this study, the surface of the specimens had a complete covering of oxide with crystallites distributed across the surface, but these were not related to features such as grain boundaries, Fig. 6. In addition, no evidence of spallation or cracking of the surface oxide had occurred following the 5 ºC·min^− 1 heating rate. This lack of spallation or obvious cracking, despite the numerous thermal cycles, demonstrated the durability of the surface oxide.

Cross-sectional examination of the samples revealed that, for temperatures below 750°C, a thin uniform surface oxide had formed, Fig. 7. The interface between the external oxide and the alloy was planar. Oxide penetration along grain boundaries was also observed. EDS analysis revealed the surface oxide to be rich in Cr and to contain Ti, Fig. 8. The Ni and Co profiles also showed the presence of these elements within the surface oxide. Due to the resolution limitations, it was not possible to obtain an exact composition at this time, TEM examination will be required to confirm this.

The EDS results showed a depletion profile for Cr into the alloy as a result of the selective oxidation process, but no obvious similar profiles developed for the other elements present. The Al profile showed the formation of a surface layer of Al₂O₃ with, again, no obvious depletion of this element from the alloy, as shown in the EDS profile in Fig. 8. Also evident in the cross-sections was the formation of Al₂O₃ along grain boundaries (g.b.).

The examination of the cross-sections through the samples exposed at 750°C revealed similarities to the findings for this alloy following an initial fast heating rate, Fig. 9. EDS shows that the surface oxide was dominated by Cr and included Ti. The interface between the surface oxide and the alloy was non-planar with light contrast sections of alloy incorporated into the outer oxide scale. The formation of internal Al₂O₃ within the sub-surface region of the alloy was also present, as found in earlier studies. The level of internal oxidation was substantially greater than that observed at the lower temperatures. Depletion profiles of Cr, Ti and Al had developed. At test temperatures of 750°C, following a heating rate of 5°C·min^− 1, the oxidation behaviour replicated the observations found in earlier studies where all heating rates were fast, i.e., > 100°C·min^− 1.

The work presented here builds on the findings of an earlier study showing that the chemistry of the surface oxide formed on a Cr containing Ni-based alloy can be controlled by the rate of heating during the initial thermal exposure up to 650°C [17]. This was shown to persist for durations up to 4000 hours at 650°C [16]. In the earlier studies it was shown that by controlling the initial heating rate to 5°C·min^− 1, a surprisingly protective NiCr₂O₄ spinel formed. Here it has been demonstrated that this phenomenon was reproducibly obtained and was found to occur for temperatures up to and including 725°C. The use of 100 hour thermal cycles in this study, as opposed to isothermal exposures in ref 16, demonstrated the durability of the NiCr₂O₄ spinel.

The difference in the oxidation behaviour of the alloy, related to heating rate, was detectable using mass gain measurements up to and including 725°C, Figs. 1 and 3. Differences in oxide morphology were also evident in SEM examination of planar surfaces, Fig. 6, when compared to previous studies using fast heating rates, ref 18. Cross-sectional examination showed the formation of a dense external oxide of uniform thickness and a planar oxide / alloy interface in contrast to the findings at 750°C which more closely matched the findings following a fast initial heating rate. It was also noted that the amount of internal oxidation occurring in this alloy following a heating rate of 5°C·min^− 1 was much reduced compared to previous studies. This reinforced the evidence from EDS analysis which showed that the chemistry of the oxides formed on this alloy exhibited a sensitivity to the heating rate of the initial thermal transient.

High resolution GIXD revealed the oxide formation sequence occurring during the heating stage. This showed that NiO was the first oxide identified, at 400°C, which continued to grow throughout the heating stage; (NiCo)₃O₄ and NiCr₂O₄ was observed at 630°C; with Cr₂O₃ and TiO₂ only being detected at 800°C. The sequence of oxide formation, to some extent, confirms the thermodynamic calculations performed in an earlier study [17]. These calculations were made using the Gibbs free energies of formation obtained from refs 24 and 25 with the temperature-dependent thermodynamic activities for elements within the alloy obtained from the TCNI8 database within Thermo-Calc, [26]. In that interpretation of the oxidation conditions, it was assumed that the faster kinetics of growth of the NiO dominated over the other potential oxides, e.g., Cr₂O₃. It was proposed that a heating rate of 5°C·min^− 1 up to the test temperature of 650°C, allowed sufficient time for a continuous NiO scale to form across the surface of the specimens. The presence of this NiO scale controlled the pO₂ at the alloy – oxide interface and thus influenced all additional oxidation reactions. The pO₂, in equilibrium with the formation of NiO was used, where appropriate, in the calculations of the free energy of formation of subsequent reactions. Selected reactions are presented in Fig. 10 and by following the path of the most stable oxide it can be seen that, starting at room temperature and up to approximately 600 K (≈ 350°C), this oxide would be NiO, as observed in the SGIXD study. At approximately 600 K (≈ 350°C) the Cr-containing oxides transferred to being the most stable with the predictions showing Cr₂O₃ to be more thermodynamically stable than NiCr₂O₄ up to 900 K (≈ 650°C). However, the SGIXD results show that NiCr₂O₄ formed preferentially to Cr₂O₃ over this temperature range and at some point, between 900 and 1100 K (630 and 800°C), Cr₂O₃ became the preferred oxide.

An explanation for the differences between the prediction and the experimental observations can be appreciated by examining the standard thermodynamic equation for the free energy of formation of the oxide Cr₂O₃:-

where ΔG° is the free energy change for the reaction shown in Eq. 5, ΔG° is the standard free energy change at a given temperature for pure elements, a is the thermodynamic activity of the component shown.

For simplicity a value for the activity of each oxide was taken as unity in ref 17. However, Cr₂O₃ is known to be susceptible to processes such as doping [27–29], which will cause it to depart from full stoichiometry, and thus would be better described by a lower value for the activity of this oxide. By studying Eq. 6 it can be seen that a reduction in the activity of the Cr₂O₃ will increase the free energy of formation for this reaction. Thus, the dotted line representing the reaction leading to Cr₂O₃ formation in Fig. 10 will shift upwards and changing gradient as indicated by the dashed line. It is proposed here that the results obtained in this study support an increase in the free energy of formation for C₂O₃ which places it above that for the NiCr₂O₄ reaction (dashed/dotted line) up to somewhere between 900 and 1100 K (630 and 800°C), and below NiCr₂O₃ formation at temperatures of approximately 1100K (800°C) and above. It is argued here that the value for the activity of the NiCr₂O₄ should remain as unity based on the cross-sectional examination which shows this spinel forms a dense scale and appears to provide greater protection to the more usually formed Cr₂O₃ on this alloy, and the SGIXD evidence.

Cross-sectional examination of the samples revealed that the heating rate phenomenon was not only restricted to the composition and morphology of the surface oxide, but there was a noticeable reduction in the amount of internal oxidation of Al occurring when subjected to a 5°C·min^− 1 initial heating rate, up to the boundary temperature between 725 and 750°C. A thin but detectable layer of Al oxide formed at the interface between the alloy and the Cr containing continuous surface scale. The Al profile into the alloy was interesting as it did not exhibit the expected depletion associated with the selective oxidation process. One explanation could be that the Al₂O₃ is relatively late in forming under these conditions, e.g., as would be the case if the Cr containing surface oxide was more protective than observed in previous studies and at 750°C in this study.

To understand the effect on the internal oxidation processes the thermodynamic calculations for Al₂O₃ formation, performed in the earlier study, were revisited. The activity for Al was related to the composition of that element in the alloy [26] and the pO₂ was taken as (a) air, (b) in equilibrium with NiO formation, and (c) in equilibrium with a fully stoichiometric Cr₂O₃. Plotting these values on the Ellingham Diagram for the temperature of 650°C, Fig. 10, demonstrates the significant effect of the surface scale protectiveness on the internal oxidation process. It shows that the formation of Al₂O₃ can be inhibited underneath a growing, fully stoichiometry, dense surface layer of Cr₂O₃, taken here to represent the NiCr₂O₄ formed on the surface of this alloy under controlled heating rate conditions. This is supported by the cross-sectional evidence in this study where no significant internal Al₂O₃ oxides were present in the alloy following the 5°C·min^− 1 heating rate up to 725°C. Under the less protective Cr₂O₃ formed at 750°C, or where fast heating rates are used, internal Al₂O₃ formation did occur.

The SGIXD results also showed that (Ni,Co)₃O₄ formed at 400°C but the peak intensity diminished at higher temperatures, unlike NiO which continued to grow, Fig. 4. One potential explanation for this is the substitution of Cr into the Co sites of the (Ni,Co)₃O₄ spinel as this phase continues to grow. With increasing substitution of Cr into the (Ni,Co)₃O₄ this spinel will eventually transform to NiCr₂O₄ which exhibits a transformation from a cubic to the low temperature tetragonal structure at 46°C. This is an additional mechanism that may be leading to the formation of NiCr₂O₄ on this alloy.

Based on the evidence gathered thus far in this investigation into heating rate sensitivity of the alloy RR1000 a number of potential routes are possible leading to the formation of a protective NiCr₂O₄ surface layer. In addition to the mechanism described above, NiCr₂O₄ can be formed via the following reactions as previously stated in ref 17:

4NiO + 2Cr = NiCr₂O₄ + 3Ni (7)

occurring across the majority of the alloy surface, and:

NiO + Cr₂O₃ = NiCr₂O₄ (8)

at sites where very early formation of Cr₂O₃ had occurred, e.g., at emergent grain boundaries. It has been shown that the inclusion of Mo in the alloy will stabilise the NiCr₂O₄ [30]. Eq. 7 shows that this reaction route leads to the formation of elemental Ni. Once formed this Ni will either oxidise in-situ or diffuse through the oxide. Examination of the micrographs presented in Ref 30 showed that where the NiCr₂O₄ formed, whiskers of NiO were present extending from the outer surface, validating this as a reaction route to the formation of NiCr₂O₄.

All the evidence points to an improvement in oxidation resistance for this alloy by controlling the initial heating rate at 5°C·min^− 1. This approach leads to the formation of a surface scale of NiCr₂O₄. The improvement has been found to be restricted to temperatures up to and including 725°C, which is within the recommended operating conditions for RR1000. The effect of the formation of the more protective externally formed oxide on the alloy was to reduce the amount of internal Al oxidation. A thin layer of Al₂O₃ was observed to form at the external oxide - alloy interface which would provide additional oxidation protection. The resultant protection provided reduced the modifications to the alloy chemistry, as shown in the EDS compositional profiles obtained.

It has also been identified in this study that there is an upper temperature limit to the heating rate sensitivity of this alloy. One possible explanation proposed here is the relative stabilities of the Cr containing oxides and spinels. Further work is needed to provide a fuller explanation.

Improved oxidation protection for a nickel-based superalloy, used in disc applications, has been shown to be possible by controlling the initial heating rate to 5°C min^− 1. The effect was observed up to temperatures of 725°C. Subsequent heating rates, e.g., due to thermal cycling, did not adversely affect the phenomenon described. In this study the reproducibility of the effect has been demonstrated and refinements to the values for the free energy of formation for the Cr₂O₃, to enable prediction of the effect, were proposed. This was supported by data obtained by SGIXD from samples removed at various temperatures during the heating stage, set at 5°C·min^− 1.

The improvement in oxidation performance of the alloy was detectable using mass change measurements and in cross-sectional examination where a reduction in the amount of internal Al₂O₃ formation was found. Thermodynamic predictions demonstrated that there was a significant reduction in the stability of the formation of Al₂O₃ in this alloy with the presence of a protective surface scale. The evidence suggested that the improvement in protectiveness of the NiCr₂O₄ resulted in the formation of a layer of Al₂O₃ at the interface between the alloy and the surface oxide and at grain boundaries, with little intragranular formation. The effect on Al oxidation was observable in the elemental profiles in the alloy underneath the protective NiCr₂O₄ compared to that under the Cr₂O₃ formed at 750°C following 5°C min^− 1. The data obtained from the samples exposed at 750°C closely matched the findings for this alloy following a fast heating-rate.

The authors declare there are no competing interests.

Acknowledgements

This work was carried out with the support of the Centre of Electron Microscopy Centre at the University of Birmingham and the Diamond Light Source, instrument I11, proposal number EE18972. Connor Hughes and James Ball, both PhD students at the University of Birmingham assisted at the Diamond Light Source. This work was supported by the Rolls-Royce/EPSRC Strategic Partnership under EP/H022309/1. The authors acknowledge the guidance of Profs. Arthur Heuer, John Nichols and Hugh Evans on the initial findings of this phenomenon.

Authors Contributions

Conceptualization: Mary Taylor; Material preparation, data collection and analysis: Daniel Calderwood and Mary Taylor; Formal analysis and investigation: Mary Taylor, Thomas Reynolds and Nils Warnken; Writing - original draft preparation: Mary Taylor and David Collins; Writing - review and editing: All authors; Resources: Paul Mignanelli and Mark Hardy.

Funding This work was supported by the Rolls-Royce/EPSRC Strategic Partnership under EP/H022309/1.

Data Availability All necessary data is included within this research article.

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Temperature Range of Heating Rate Dependent Reactions Leading to Spinel Formation on a Ni-based Superalloy

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Abstract

Figures

Introduction

Experimental Procedure

Results

Kinetics

SGIXD examination of samples removed during heating stage

SEM Examination

Discussion

Conclusion

Declarations

References

Additional Declarations

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