Review on the Corrosion Behaviour of Nickel-Based Alloys in Supercritical Carbon Dioxide under High Temperature and Pressure

: Supercritical carbon dioxide (S-CO 2 ) has the advantages of amphoteric liquid and gas, which possesses many unique characteristics, such as good compressibility, high density, high solubility, good ﬂuidity and low viscosity. The Brayton cycle with S-CO 2 is considered to have many promising applications, especially for power conversion industries. However, the corrosion and degradation of structural materials hinder the development and application of the Brayton cycle with S-CO 2 . Nickel-based alloys have the best corrosion resistance in S-CO 2 environments compared to austenitic stainless steels and ferritic/martensitic steels. Thus, the present article mainly reviews the corrosion behaviour of nickel-based alloys in S-CO 2 under high temperature and pressure. The effect of alloying elements and environment parameters on the corrosion behaviour of different nickel-based alloys are systematically summarized. The conclusion and outlook are given at the end.


Introduction
The fluids in environments above critical temperature and pressure are called supercritical fluids [1].Supercritical carbon dioxide (S-CO 2 ), whose critical point is 31.1 • C and 7.38 MPa, has the advantages of amphoteric liquid and gas, such as the characteristics of high density and solubility, which is similar to the liquid, and low viscosity, which is similar to the gas [2,3].S-CO 2 possesses many unique characteristics, such as good compressibility, high density, high solubility, good fluidity and low velocity [4].Therefore, it can be used in many applications such as extraction, power conversion, and refrigeration.The Brayton cycle, which uses S-CO 2 as the medium to transfer heat, is considered to be potentially significant for power conversion due to its high efficiency, lower cost, lower noise, nontoxicity, high stability and a compact structure [5].The Brayton cycle can be used in many applications, such as the power conversion for the Generation IV nuclear reactor [6], thermal power systems [7], solar power systems [8] and other systems.
The Brayton cycle consists of at least five components: heater, turbine, precooler, compressor and working fluid.It is a thermal cycle system composed of four processes: adiabatic compression, isobaric heating, adiabatic expansion and isobaric cooling [9].Today, the Brayton cycle with S-CO 2 has aroused great interest, and many researchers have investigated the Brayton cycle with S-CO 2 from many aspects, including the key factors and components, the method to increase the thermal efficiency and thermodynamics [9][10][11].Although extensive studies have been carried out, there are still some problems that have not been fully resolved.One of the most urgent problems is the corrosion and degradation of structural materials caused by the harsh working conditions of high temperature and pressure, which hinders the implementation and commercialization of the Brayton cycle with S-CO 2 [12].Generally speaking, the test system of corrosion behaviour for metallic materials in the Brayton cycle should include the following parts: gas supply system, high pressure CO 2 pumping system, CO 2 preheater, temperature-and pressure-controlled autoclave, CO 2 precooler, gas sampling and analysis system and computer systems for process control and data acquisition.This system can control the temperature rise rate, pressure boost rate, CO 2 velocity and other parameters related to the corrosion experiments.
Preliminary research results show that the corrosion resistance of different materials vary greatly in S-CO 2 environments.In general, nickel-based alloys have slightly better corrosion resistance than austenitic stainless steels, and austenitic stainless steels have significantly better corrosion resistance than ferritic/martensitic steels [10][11][12][13][14][15].The ferritic/martensitic steels and austenitic stainless steels cannot fully meet the requirements of core structural materials required by the Brayton cycle with S-CO 2 .In contrast, nickel-based alloys can better adapt to the harsh working conditions in the Brayton cycle with S-CO 2 .Therefore, on the basis of reviews of corrosion behaviour of alloys in high-temperature and -pressure S-CO 2 environments [15,16], the present article mainly reviews the corrosion mechanism of structural materials, emphasizing the corrosion behaviour of nickel-based alloys in S-CO 2 environments under high-temperature and -pressure conditions.

Corrosion Mechanism
First, the corrosion mechanism of alloys in high-temperature and -pressure S-CO 2 environments should be clarified.At present, many studies have conducted research on the corrosion mechanism of metallic materials in S-CO 2 environments, mainly exploring the corrosion reaction processes of metallic materials and the composition of corrosion products of different metallic materials and comparing the corrosion resistance of different metallic materials in S-CO 2 environments.

Corrosion Reaction Processes
For structural materials, both oxidation and carburization will occur in high-temperature and -pressure S-CO 2 .In this section, the mechanisms of oxidation and carburization of metallic materials in S-CO 2 and the corrosion behaviour of various structural materials in S-CO 2 will be described briefly.

Oxidation
In S-CO 2 , CO 2 produces a partial pressure of oxygen, which is sufficient to oxidize alloying elements such as Fe and Cr.Thus, oxidation will occur between the oxygen, which is formed by the decomposition of CO 2 , and the alloying elements.The oxygen reactions are described by Reactions (1) and (2) [13]: where M represents alloying elements such as Cr and Fe.With the formation and amassment of oxide on the surface, the corrosion resistance is determined.A Cr-rich oxide layer usually shows better corrosion resistance than the Fe-rich oxide.The higher corrosion resistance of the Cr-rich oxide layer is mainly attributed to the continuous and dense layer, which will play a protective role in curbing further oxidation.In contrast, the discontinuous and porous Fe-rich layer provides a channel for the permeation and diffusion of the corrosive gases into the matrix and triggers further oxidation of the sublayer matrix.
Researchers have also calculated the rate of oxidation by measuring weight gains, which are related to the constant K w , and oxide thickness, which is related to the constant K p [17].The two constants are both parabolic constant.The smaller the constants are, the better the corrosion resistance of the alloys.The method of calculating the constants is given by Reactions (3) and (4) [2,18]: Crystals 2023, 13, 725 3 of 21 where ∆ω stands for the weight gains, n means the time exponent that describes the time dependence of the oxide growth, X represents the thickness of the oxide layer and t is time.
Figure 1 shows the corrosion kinetics of typical alloys in high-temperature CO 2 ; all alloys follow the parabolic law [13].
dependence of the oxide growth, X represents the thickness of the oxide time.Figure 1 shows the corrosion kinetics of typical alloys in high-temper alloys follow the parabolic law [13].
Researchers also conducted experiments on the mechanism of oxidatio proved that the occurrence of oxidation is controlled by ion diffusion, an force of diffusion is mainly the concentration differences of chemical su components [19][20][21].In addition, the concentration differences in chemical s components will lead to different oxygen activity across the oxide layer, wh drives the oxidation.It is also proved that CO2 can induce the growth of an providing oxygen partial pressure higher than required for the formation layer [22].

Carburization
The carburization process consists of two main steps.First, the gas carbon permeates through the oxide layer on the surface of the alloys.Subse of the C combines with some alloying elements to form a carbide prec another part forms an amorphous carbon layer at the interface between t and the matrix [24].Scholars have different understandings about the origin conclusions drawn by scholars also have distinctions.However, the co basically thermodynamically equivalent [25,26].The most well-known generation is called the Boudouard reaction, as presented in Reaction [22,23,27]: Researchers also conducted experiments on the mechanism of oxidation [19][20][21][22][23].It is proved that the occurrence of oxidation is controlled by ion diffusion, and the driving force of diffusion is mainly the concentration differences of chemical substances and components [19][20][21].In addition, the concentration differences in chemical substances and components will lead to different oxygen activity across the oxide layer, which ultimately drives the oxidation.It is also proved that CO 2 can induce the growth of an oxide layer by providing oxygen partial pressure higher than required for the formation of the oxide layer [22].

Carburization
The carburization process consists of two main steps.First, the gas that contains carbon permeates through the oxide layer on the surface of the alloys.Subsequently, some of the C combines with some alloying elements to form a carbide precipitate, while another part forms an amorphous carbon layer at the interface between the oxide layer and the matrix [24].Scholars have different understandings about the origin of C, and the conclusions drawn by scholars also have distinctions.However, the conclusions are basically thermodynamically equivalent [25,26].The most well-known reaction of C generation is called the Boudouard reaction, as presented in Reactions ( 5) and ( 6) [22,23,27]: Some researchers suggest that in addition to the Boudouard reaction, the direct decomposition of CO or CO2 will also lead to the production of C [4,28].
However, the activity of C is quite low in high-temperature CO2 at atmospheric pressure [22,23].Thus, it is necessary to explain why carburization occurs under high Some researchers suggest that in addition to the Boudouard reaction, the direct decomposition of CO or CO2 will also lead to the production of C [4,28].
However, the activity of C is quite low in high-temperature CO2 at atmospheric pressure [22,23].Thus, it is necessary to explain why carburization occurs under high pressure.This is because the area where carburization occurs is not in direct contact with ambient CO2 but instead within the inner layer of the oxide layer, which causes the distinction of oxygen activity.The oxygen activity at the oxide layer surface is equal to the CO2 dissociation pressure, while it is equal to the oxide dissociation pressure at the interface between the oxide layer and the matrix.The activity of C is inversely proportional to the activity of oxygen according to the equilibrium constant of Reactions ( 5) and (6).Therefore, the C activity at the interface between the oxide layer and the matrix is high enough to induce a carburization reaction [15,17,22,23].

Corrosion Behaviour and Resistance of Different Metallic Materials
At present, there are three main categories of alloys used in the S-CO2 Brayton cycle, namely ferritic/martensitic steel, austenitic stainless steel and nickel-based alloy.This section mainly introduces their corrosion behaviour and corrosion resistance in hightemperature and -pressure S-CO2.
For the corrosion behaviour of both ferritic/martensitic steels and austenitic stainless steels such as 12Cr and 316, oxidation reactions will occur in S-CO2 environments, in which the outer layer is Fe3O4 with coarse columnar grains and the inner layer is Fe(Fe1-xCrx)2O4, which is made of small equiaxed grains.
For ferritic/martensitic steels, F. Rouillard [13] and L. Tan [14] both have reported the corrosion behaviour of 9-12Cr ferritic/martensitic steel, which forms a duplex oxide layer that includes coarse columnar Fe3O4 magnetite grains covered by small equiaxed Fe2O3 hematite grains as the outer layer and a complex mixture of nano-to micro-sized Fe3−xCrxO4 spinel oxide grains with some nonoxidized carbides as the inner layer.However, with the increasing chromium content of ferritic/martensitic steels, a thin and protective chromia layer will be formed, and the oxide rate will be slowed down [23,29].
Austenitic stainless steels, which can rapidly form a protective chromia layer on the surface of the matrix, exhibit higher corrosion resistance than ferritic/martensitic steel in S-CO2 environments with temperatures higher than 550 °C [19,23,30].However, many carbides were observed under the oxide layer, which is caused by carburization [14].The carbon that reacts with the carbide-forming elements comes from molecules such as CO and CO2, which reach the interface between the oxide layer and the matrix through grain boundaries, microchannels and nanopores in the oxide layer.Among these carbides are Cr-rich, Nb-rich, V-rich, Fe-rich and W-rich, depending on the composition of the steel.In addition, the carbides mainly present in fine intragranular and intergranular form.The presence of these carbides will lead to the deterioration of corrosion resistance by pinning the movements of Cr [17].Due to the austenitic structure having a lower diffusion coefficient, larger growth stress and thermal stress during oxidation, spallation will occur occasionally.This will cause the oxidation layer to lose protection, increasing the consumption of Cr by exposing Cr in the matrix to the ambient gases and thus finally resulting in a severe Cr-depletion zone [31].
Moreover, the corrosion conduct as with Fe2O3 has the photoelectric properties of a semiconductor [17].Thus, under illumination, the corrosion product will generate electrons and holes, which can be directly involved in the electrochemical process of matrix corrosion and may accelerate the corrosion rate [23].
Some researchers suggest that in addition to the Boudouard reaction, the direct decomposition of CO or CO 2 will also lead to the production of C [4,28].
However, the activity of C is quite low in high-temperature CO 2 at atmospheric pressure [22,23].Thus, it is necessary to explain why carburization occurs under high pressure.This is because the area where carburization occurs is not in direct contact with ambient CO 2 but instead within the inner layer of the oxide layer, which causes the distinction of oxygen activity.The oxygen activity at the oxide layer surface is equal to the CO 2 dissociation pressure, while it is equal to the oxide dissociation pressure at the interface between the oxide layer and the matrix.The activity of C is inversely proportional to the activity of oxygen according to the equilibrium constant of Reactions ( 5) and (6).Therefore, the C activity at the interface between the oxide layer and the matrix is high enough to induce a carburization reaction [15,17,22,23].

Corrosion Behaviour and Resistance of Different Metallic Materials
At present, there are three main categories of alloys used in the S-CO 2 Brayton cycle, namely ferritic/martensitic steel, austenitic stainless steel and nickel-based alloy.This section mainly introduces their corrosion behaviour and corrosion resistance in hightemperature and -pressure S-CO 2 .
For the corrosion behaviour of both ferritic/martensitic steels and austenitic stainless steels such as 12Cr and 316, oxidation reactions will occur in S-CO 2 environments, in which the outer layer is Fe 3 O 4 with coarse columnar grains and the inner layer is Fe(Fe 1-x Cr x )2O 4 , which is made of small equiaxed grains.
For ferritic/martensitic steels, F. Rouillard [13] and L. Tan [14] both have reported the corrosion behaviour of 9-12Cr ferritic/martensitic steel, which forms a duplex oxide layer that includes coarse columnar Fe 3 O 4 magnetite grains covered by small equiaxed Fe 2 O 3 hematite grains as the outer layer and a complex mixture of nano-to micro-sized Fe 3−x Cr x O 4 spinel oxide grains with some nonoxidized carbides as the inner layer.However, with the increasing chromium content of ferritic/martensitic steels, a thin and protective chromia layer will be formed, and the oxide rate will be slowed down [23,29].
Austenitic stainless steels, which can rapidly form a protective chromia layer on the surface of the matrix, exhibit higher corrosion resistance than ferritic/martensitic steel in S-CO 2 environments with temperatures higher than 550 • C [19,23,30].However, many carbides were observed under the oxide layer, which is caused by carburization [14].The carbon that reacts with the carbide-forming elements comes from molecules such as CO and CO 2 , which reach the interface between the oxide layer and the matrix through grain boundaries, microchannels and nanopores in the oxide layer.Among these carbides are Cr-rich, Nb-rich, V-rich, Fe-rich and W-rich, depending on the composition of the steel.In addition, the carbides mainly present in fine intragranular and intergranular form.The presence of these carbides will lead to the deterioration of corrosion resistance by pinning the movements of Cr [17].Due to the austenitic structure having a lower diffusion coefficient, larger growth stress and thermal stress during oxidation, spallation will occur occasionally.This will cause the oxidation layer to lose protection, increasing the consumption of Cr by exposing Cr in the matrix to the ambient gases and thus finally resulting in a severe Cr-depletion zone [31].
Moreover, the corrosion conduct as with Fe 2 O 3 has the photoelectric properties of a semiconductor [17].Thus, under illumination, the corrosion product will generate electrons and holes, which can be directly involved in the electrochemical process of matrix corrosion and may accelerate the corrosion rate [23].
Nickel-based alloys have the greatest corrosion resistance compared to ferritic/martensitic steels and austenitic stainless steels [32,33].Their specific corrosion behaviour, corrosion resistance and effect factors are introduced in detail below.

Summary
This section mainly introduces the mechanisms of oxidation and carburization and the corrosion behaviour of typical alloys in high-temperature and -pressure S-CO 2 .The main purpose is to give the reader a brief understanding of the corrosion process in S-CO 2 environments.
Next, the factors affecting the corrosion behaviour of nickel-based alloys are introduced.Many factors can affect the corrosion behaviour of nickel-based alloy in hightemperature and -pressure S-CO 2 environments.In essence, the factors can be divided into two categories: 1.
Factors associated with the alloying elements, such as chromium, molybdenum, tungsten, niobium and so on; 2.
Parameters related to the corrosion environment of nickel-based alloy such as temperature, pressure, impurities and flow rate.

Factors Associated with the Alloying Elements
For nickel-based alloys, many metallic elements are used as the alloying elements such as chromium, cobalt, molybdenum, titanium, silicon, manganese and aluminum.However, by adding different alloying elements, the corrosion resistance of nickel-based alloys will also change.Thus, this section introduces the factors that are associated with the alloying elements, which will affect the corrosion behaviour of nickel-based alloys in high-temperature and -pressure S-CO 2 environments.

Major Elements
For nickel-based alloys, the major elements generally include nickel, iron and chromium.Among them, as matrix elements, iron and nickel have the higher content.In addition, as the most important element for providing corrosion resistance for nickel-based alloys, the content of chromium is usually more than 15%.

Effect of Fe and Ni Content
For Ni-based alloys, the different content of Fe and Ni will lead to a distinction in some of the corrosion product.However, with the formation of the continuous and protective chromia layer, the distinction has a minor effect on the oxidation resistance of the alloys.In addition, the faster diffusion rate of C in Fe than in Ni will deteriorate the carburization resistance at lower temperatures, while the rate of carbon uptake may be independent of the content of Fe and Ni at higher temperatures.
Alloy 800 is a relatively nickel-based alloy series that contains iron, nickel and chromium with trace amounts of manganese, aluminum and titanium.The corrosion behaviour and resistance of its variants (Alloy 800, 800H and 800HT) are widely studied by many researchers [14, 24,[34][35][36].They all pointed out in their studies that Alloy 800 variants have great corrosion resistance in high-temperature and -pressure S-CO 2 environments, which is mainly attributed to the thin and uniform chromia layer.The oxidation rate follows the parabolic law (∆W = K P √ t), which suggests that the oxidation is a diffusion-controlled process.Moreover, according to G. Cao's research [35], a multiple stoichiometric oxide layer, including Cr 2 O 3 , Cr 1.4 Fe 0.7 O 3 , FeCr 2 O 4 , Ni 1.4 Fe 1.7 O 4 , FeMn 2 O 4 and Al 2 O 3 , was formed for Alloy 800H, which provides superior corrosion resistance.This also reflects that for Alloy 800 variants, the oxidation resistance is almost equivalent to ordinary nickel alloys.
As for carburization resistance, researchers have also conducted studies.Benjamin Adam mainly studied the carburization behaviour of Alloy 800H [36].It was found that high-temperature and -pressure S-CO 2 environments have an evident effect on carburization behaviour, the Cr depletion zone and the recrystallization zone of Alloy 800.He lists three main reason to explain this phenomenon, which are the stresses generated with the formation of the oxide layer, the increase of grain boundary density and the availability of monatomic carbon.
Ho Jung Lee et al. [37] characterized the carburization of Alloy 600, Alloy 690 and Alloy 800HT.A layer of amorphous C, which represents the carburization, is observed below the oxide layer.In addition, the oxide layer is continuous without any spallation.This means that the chromium content has little effect on carburization resistance because the chromia layer remains continuous.Some Cr-rich M 6 C 23 carbides were observed under the amorphous C layer for only Alloy 800HT, which suggests that Alloy 800HT has worse carburization resistance than Alloy 600 and Alloy 690.For the tested alloys, Alloy 800HT is an iron-nickel-based alloy, while Alloy 600 and Alloy 690 are nickel-based alloys.Therefore, from the perspective of the different matrices, the lower activity of chromium in nickel and the lower solubility and diffusion coefficient of C in iron lead to the distinction for carburization resistance.
However, a recent experiment has also shown that the effect of carburization on Fe and Ni content may be less pronounced than previously thought, at least at higher temperatures.Oleksak et al. [38] tested several Ni-based alloys at 700 • C for 10,000 h.The results show that Alloy 800 has a carbon uptake similar with Ni-based alloys, which suggests that the rate of carbon uptake is independent of the Fe/Ni ratio.
Through analysis of the above experimental results, the effect of Fe and Ni can be concluded.For oxidation, the resistance of nickel-based alloys and iron-nickel-based alloys in S-CO 2 is superior, which is attributed to the high content of Ni which can accelerate the formation of protective chromia and inhibit the further thickening of the oxide layer [39].As for carburization, it is suggested that the resistance of the alloys with higher Fe content is poorer at lower temperature.This is because Ni has a higher solubility than Fe, and thus Ni-based alloys can provide higher carburization resistance by reducing the precipitation of carbides [40,41].In addition, at higher temperatures, the carburization resistance may be independent of the content of Fe and Ni.

Effect of Cr Content
The content of Cr plays a crucial role in corrosion resistance.When the content of Cr is sufficient, the Cr will tend to react with oxygen and form a continuous and protective chromia layer to prevent further oxidation and carburization.
Thus, Cr is the most important element that makes the alloy have good corrosion resistance in high-temperature and -pressure S-CO 2 environments.Cr can form a continuous thin-layer chromia with superior stability and protectiveness.Higher Cr content makes the alloy more inclined to form chromia films in the corrosion to obtain oxidation and carburization resistance [42].For nickel-based alloys, it is suggested that the Cr content of at least 14% is required to form a protective chromia layer [43].
Even if the content of Cr reaches the critical point and forms a continuous chromia layer, oxidation and carburization may still happen.This is because C tcan penetrate through the chromia layer and form an amorphous C layer between the matrix and the chromia, which leads to carburization.Then, after the formation of amorphous C, spallation of the oxide layer may be triggered and results in further oxidation.
Experiments also confirmed the theory above.Xianglong Guo et al. [43] tested the long-term oxidation and carburization mechanism of Alloy 800H at 650 • C and 20MPa for 3000 h.Although Alloy 800H has a relatively high content of Cr, spallation still happened after 2000 h, which is shown in Figure 2. The inner MnCr 2 O 4 , the SiO 2 layer and the amorphous C can be observed.This is believed to promote spallation.Oleksak [44] also suggests that only when the content of Cr is sufficient, which is about 22%, will its content not affect the oxidation rate.
In general, for nickel-based alloy, a 14% content of Cr is enough to form a continuous chromia layer.However, further oxidation and carburization may still occur.Thus, as a candidate structural material for the Brayton cycle, it is best to increase the content of Cr to more than 22% to resist corrosion as much as possible.In general, for nickel-based alloy, a 14% content of Cr is enough to form a continuous chromia layer.However, further oxidation and carburization may still occur.Thus, as a candidate structural material for the Brayton cycle, it is best to increase the content of Cr to more than 22% to resist corrosion as much as possible.

Trace Elements
Nickel-based alloys, as a candidate structural material for Brayton cycle, should serve in harsh working conditions.Higher requirements are needed for the high-temperature performance of nickel-based alloys.To improve the hardness of the alloy, molybdenum and niobium are added as solid-solution elements.To improve the long-term performance, cobalt, titanium, aluminum and silicon are needed.Therefore, with the addition of these alloying elements, it is important to discuss their effects on corrosion resistance.

Effect of Co Content
According to a few existing studies, it can be roughly concluded that increasing the content of Co is beneficial for improving the carburization resistance of Ni-alloys.A relatively higher content of Co is beneficial for the carburization resistance and hightemperature properties of alloys, according to J.R. Davis [45].However, for the effect of Co content on the corrosion resistance of nickel-based alloys, only a few studies have been done.One study about Alloy 188 has been made at 700-1000 °C and 20 MPa S-CO2.Alloy 188 is a kind of Co-based alloy.It is suggested that it has great corrosion resistance, and no carburization was observed [46].Based on the results above, it can be inferred that the addition of Co can improve the carburization resistance of nickel-based alloys.Research on the carburization resistance of high Co content (Alloy 617) also proved the inference [30].However, one study suggests the opposite [38].Alloy 617 shows the poorest carburization resistance compared to several Ni-based alloys.Thus, in order to clarify the effect of the Co, more research should be done.

Effect of Ti Content
Ti tends to be oxidized into TiO2, which can decrease in corrosion rate as an underlying sublayer or precipitate in the internal oxidation zone.However, Ti may also cause the increase of the cation to diffuse along the grain boundary and effect corrosion resistance.
As an alloying element, Ti is usually used in most heat-and corrosion-resistant nickel-based alloys and will be oxidized into TiO2 [35,47,48].TiO2 is mainly formed on the

Trace Elements
Nickel-based alloys, as a candidate structural material for Brayton cycle, should serve in harsh working conditions.Higher requirements are needed for the high-temperature performance of nickel-based alloys.To improve the hardness of the alloy, molybdenum and niobium are added as solid-solution elements.To improve the long-term performance, cobalt, titanium, aluminum and silicon are needed.Therefore, with the addition of these alloying elements, it is important to discuss their effects on corrosion resistance.

Effect of Co Content
According to a few existing studies, it can be roughly concluded that increasing the content of Co is beneficial for improving the carburization resistance of Ni-alloys.A relatively higher content of Co is beneficial for the carburization resistance and hightemperature properties of alloys, according to J.R. Davis [45].However, for the effect of Co content on the corrosion resistance of nickel-based alloys, only a few studies have been done.One study about Alloy 188 has been made at 700-1000 • C and 20 MPa S-CO 2 .Alloy 188 is a kind of Co-based alloy.It is suggested that it has great corrosion resistance, and no carburization was observed [46].Based on the results above, it can be inferred that the addition of Co can improve the carburization resistance of nickel-based alloys.Research on the carburization resistance of high Co content (Alloy 617) also proved the inference [30].However, one study suggests the opposite [38].Alloy 617 shows the poorest carburization resistance compared to several Ni-based alloys.Thus, in order to clarify the effect of the Co, more research should be done.

Effect of Ti Content
Ti tends to be oxidized into TiO 2 , which can decrease in corrosion rate as an underlying sublayer or precipitate in the internal oxidation zone.However, Ti may also cause the increase of the cation to diffuse along the grain boundary and effect corrosion resistance.
As an alloying element, Ti is usually used in most heat-and corrosion-resistant nickelbased alloys and will be oxidized into TiO 2 [35,47,48].TiO 2 is mainly formed on the surface of nickel-based alloys during high-temperature oxidation with low-oxygen partial pressure conditions [34] in S-CO 2 environments.In some cases, the TiO 2 layer is observed on the top of the chromia [44].Paradoxically, Cr 2 O 3 is supposed to form in the outer layer due to TiO 2 being thermodynamically more stable than Cr 2 O 3 .This is attributed to the lower metal activity of Ti and the higher diffusion rate of Ti ions outward through the chromium layer, thus this phenomenon is reasonable in both thermodynamics and kinetics [49].In most situations, however, the TiO 2 layer is under the chromia and is able to resist corrosion.However, if Ti does not exist as TiO 2 , the effect of Ti in corrosion resistance could be adverse.The dissolved Ti will refine the grain of the Cr layer, and the substitution of Cr 3+ by Ti 4+ will be compensated by electron or cationic vacancy [25,50].Both of the behaviours mentioned above will lead to the increase of the cation to diffuse along the grain boundary [51].This behaviour of Ti will finally affect the corrosion resistance of nickel-based alloys both positively and adversely, which will depend on the composition of the alloys and the environments [48].

Effect of Al Content
Al tends to react with oxygen to form alumina.When the content of Al is sufficient, alumina will act as a barrier to prevent the permeation and penetration of C. When the content of Al is relatively low, the Al-rich phase and the Cr-rich phase will be excessively segregated and will deteriorate corrosion resistance.
As an alloying element, Al usually has a positive effect on the corrosion resistance of nickel-based alloys at high temperatures.Similar to Cr, Al also forms a protective oxide layer [44,48].The formation of Al 2 O 3 can be promoted by (Cr,Fe) 2 O 3 , which acts as a crystal template [44].The formed Al 2 O 3 is thermodynamically more stable than Cr 2 O 3, which can prevent C from permeating and penetrating into the matrix [52].B.A. Pint [51] compared the corrosion behaviour of chromia-forming nickel-based alloys such as Alloy 230, Alloy 282, and Alloy 740 and alumina-forming nickel-based alloys such as Alloy 214 and Alloy 247 up to 750 • C in 20 MPa S-CO 2 for 500 h.Results show that the weight gain rate of alumina-forming alloys decreases at higher temperatures.This can be ascribed to the slow growth rate and selective oxidation of aluminum [53].In addition, almost no amorphous C or carbide precipitation was observed in Alloy 217, this suggests that Alloy 217 has high carburization resistance as a result of higher Al content.
Al also has an adverse effect on the corrosion resistance of nickel-based alloys.According to Oleksak [44], when the chromia scale is formed, the content of Al will lead to internal oxidation, which is inevitable for Ni-Cr-Al alloys, and thus increase the oxidation rate.Although some researchers suggest that for Ni-Cr-Al alloys the internal oxidation can be beneficial by filling the void created by vacancy injection to improve scaling adhesion [54].It should still be noted that relatively higher Al content will cause a negative effect on corrosion resistance at low temperatures due to the formation of Cr-Al segregation [55].However, when the content of Al is high enough, then a continuous alumina layer will form instead of the chromia layer, which will improve the corrosion resistance of the alloy better than chromia.
Moreover, Al can deposit on the surface of the alloy and improve the corrosion resistance of alloy.Ho Jung Lee et al. [56] used PVD and an electron beam surface treatment to form an Al micro-alloying zone.After the surface treatment, a preoxidation operation was performed for some specimens at 900 • C for 20 h in high-purity helium.Then, a corrosion test was conducted for as-received, surface-treated and surface-treated + preoxidation specimens at 600 • C and 20 MPa for 500 h in a S-CO 2 environment.The results of the oxide thickness are shown in Figure 3. Compared with the as-received specimens, the EB surface-treated specimen does not show superior corrosion resistance, while the thickness of the oxide layer has barely increased for the EB surface-treated + preoxidation specimens, which suggests greater corrosion resistance.No amorphous C was observed at the interface between the oxide layer and the matrix for the EB surface-treated + preoxidation specimens as well, which suggests superior carburization resistance.The good corrosion resistance of the EB surface-treated + preoxidation specimens is due to the formation of α-alumina, which is stable after further exposure in S-CO 2 .
treated + preoxidation specimens as well, which suggests superior ca resistance.The good corrosion resistance of the EB surface-treated + p specimens is due to the formation of α-alumina, which is stable after further e S-CO2.As a carbide-forming element, the presence of Mo will consume C, otherwise react with Cr and prevent the formation of the protective layer excessive content of Mo may lead to the accumulation of Mo carbide and the de of corrosion resistance.
In order to cope with the aggressive environments, Mo is added into the alloying element to improve corrosion resistance.Many researchers have ob formation and precipitation of the Mo carbide [34,57,58], which suggests that M of carbide-forming element.Mo will combine with the C priority to prevent th of carbide between Cr and C.This promotes the formation of chromia an corrosion resistance.Appropriate content of Mo can improve corrosion resist excessive content of Mo may affect corrosion resistance adversely.For exam content of Hastelloy-C276 is 17%.The Mo carbide extending from the subs surface was observed [41].It was found that the Mo carbide could promote th of oxide nodules on the surface and break the continuity of the chromia layer, decrease the corrosion resistance.

Effect of Si Content
Si has a higher affinity of O than other alloying elements and thus usual as silica.If the content of Si is appropriate, it will increase corrosion re preventing bilateral diffusion.However, an excessive content of Si will break th between the oxide layer and the matrix.Thus, the effect of Si on corrosion r two-sided.
On the positive side, SI can form a thin and continuous silica film layer act as a barrier to hinder the C to diffuse into the matrix and form carburized r As a carbide-forming element, the presence of Mo will consume C, which will otherwise react with Cr and prevent the formation of the protective layer.However, excessive content of Mo may lead to the accumulation of Mo carbide and the deterioration of corrosion resistance.
In order to cope with the aggressive environments, Mo is added into the alloy as an alloying element to improve corrosion resistance.Many researchers have observed the formation and precipitation of the Mo carbide [34,57,58], which suggests that Mo is a kind of carbide-forming element.Mo will combine with the C priority to prevent the formation of carbide between Cr and C.This promotes the formation of chromia and increases corrosion resistance.Appropriate content of Mo can improve corrosion resistance, while excessive content of Mo may affect corrosion resistance adversely.For example, the Mo content of Hastelloy-C276 is 17%.The Mo carbide extending from the substrate to the surface was observed [41].It was found that the Mo carbide could promote the formation of oxide nodules on the surface and break the continuity of the chromia layer, which may decrease the corrosion resistance.

Effect of Si Content
Si has a higher affinity of O than other alloying elements and thus usually presents as silica.If the content of Si is appropriate, it will increase corrosion resistance by preventing bilateral diffusion.However, an excessive content of Si will break the adhesion between the oxide layer and the matrix.Thus, the effect of Si on corrosion resistance is two-sided.
On the positive side, SI can form a thin and continuous silica film layer [48].SI will act as a barrier to hinder the C to diffuse into the matrix and form carburized regions.The silica can also prevent the outward diffusion of Cr 3+ to slow the growth rate of chromia [44].It should be noted that continuous silica can be formed only when the content of Si is sufficient [44].The critical point of the Si content is 0.3% [58] at 650 • C S-CO 2 .However, for the mechanism of Si improving oxidation resistance, some researchers have put forth different opinions.B. Ahmad [59] suggests that the presence of Si can enhance the diffusion ability of Cr in the alloy, while B. Li [60] believes that the existence of Si promotes the specific chromia to form during the transient phase of oxidation.
On the negative side, excessive content of Si will produce an adverse effect on both corrosion resistance and the mechanical properties of the alloy.Excessive Si content will increase the brittleness of the material and weaken its mechanical properties.In addition, the existence of silica between the oxide layer and the matrix will inevitably affect the adhesion of the oxide layer [61], resulting in spallation.Based on the behaviour of Si, the content of Si is very important for the corrosion-resistant alloy, and a balance should be established between ensuring corrosion resistance and not affecting the mechanical properties of the alloy.

Effect of Mn Content
The effect of Mn depends on the corrosion product.When Mn and Cr react together to form spinel-phase oxides such as MnCr 2 O 4 and (Mn,Cr) 3 O 4 , they will resist carburization.However, the oxide layer formed by Mn alone is irregular, which will deteriorate corrosion resistance.
Mn intends to form a spinel MnCr 2 O 4 -phase layer with Cr beneath the chromia layer [62] according to some studies [37,42,48,50].The MnCr 2 O 4 will act as a barrier to carburization similar to silica.However, studies have shown that Mn will change the diffusion boundary condition [63] and lead to linear reduction of the oxidation rate [44] until the content of Mn reaches 0.45% [64].If the content of Mn is inappropriate, this will result in the formation of an irregular oxide layer and decrease corrosion resistance.Thus, it is crucial to determine the appropriate Mn content to ensure a positive effect on the corrosion resistance of the alloy.

Summary
This section mainly summarizes the effect of various alloying elements on the corrosion resistance of nickel-based alloys at high-temperature and -pressure S-CO 2 , including the major and trace alloying elements.For major elements, the content of Fe and Ni is associated with the carburization resistance of nickel-based alloys.The content of Cr is the most significant factor for determining the corrosion resistance of nickel-based alloys.For trace elements, it is important to determine their appropriate content in nickel-based alloys to maintain a positive effect and eliminate adverse effects.

Parameters Related to the Corrosion Environment
Section 3 mainly described the effect of the content of alloying elements on the corrosion resistance of nickel-based alloys.This section introduces the parameters related to the corrosion environment of nickel-based alloys such as temperature, pressure, impurities and flow rate.As a promising power conversion system, the S-CO 2 Brayton cycle can be used for solar power, nuclear reactors, thermal power generation and so on.These applications have high requirements for temperature and pressure [63], which will inevitably affect the corrosion behaviour of the structural materials in the S-CO 2 .Therefore, temperature and pressure are important factors that must be considered in the process of S-CO 2 corrosion.The effect of temperature is discussed in this section.
Ho Jung Lee et al. [37] tested Alloy 600, Alloy 690 and Alloy 800HT at 550, 600, 650 • C and 20 MPa for 1000 h.As shown in Figure 4, the weight gain and thickness of the oxide layer are quite small, which proves that the alloys have excellent corrosion resistance at these temperatures.
Crystals 2023, 13, x FOR PEER REVIEW oxide layer are quite small, which proves that the alloys have excellen resistance at these temperatures.When the temperature is 550 °C, the difference of oxide thickness betwee is small.However, with the increase in temperature, the thickness of the oxid significantly thicker than 550 °C at 600 °C and slightly thicker at 650 °C.Mor the increases in temperature, the oxide composition of the alloys also changed.to Cr2O3, the peaks for minor oxides such as Mn1.5Cr1.5O4and TiO2 are als according to the XRD results.According to Zhongliang Zhu's research [2], th kinetics are proportional to the weight gain, which suggests that the lower w corresponded to better corrosion resistance.Therefore, the order of corrosion r 550 °C > 600 °C > 650 °C.This is mainly because when the temperature is low, cannot provide enough energy for reactions such as diffusion and oxidation [ higher temperature range, Olivares et al. [62] have done some research.Alloy 230, Alloy HR160, Alloy HR120 and Alloy 188 were tested at 700-1000 °C, 20 M Their study shows that with the increase in temperature, the weight gain of th a dramatic increase, while the change in the internal oxidation zone is mod drew the same conclusion that with the increase in temperature, the corrosion o in S-CO2 becomes worse.
Furthermore, research on the effect of carburization behaviour has been d [37,65].With the increase in temperature, the structure of the outer oxide layer from single layer to double layer [37].In this process, defects such as pores, oxide grain boundaries in the chromia layer will be created and thus cause th of CO or CO2 [65].This causes C to permeate and penetrate through the ch even though C is almost insoluble in the oxide [65].With the temperature incr reported that the depth of carbide formation increased as well for Alloy 800HT carburization rate of Alloy 600 and Alloy 690 barely changed.This sugge increase in temperature affects the diffusion rate of C to form coarser and deep When the temperature is 550 • C, the difference of oxide thickness between the alloys is small.However, with the increase in temperature, the thickness of the oxide layer was significantly thicker than 550 • C at 600 • C and slightly thicker at 650 • C.Moreover, with the increases in temperature, the oxide composition of the alloys also changed.In addition to Cr 2 O 3 , the peaks for minor oxides such as Mn 1.5 Cr 1.5 O 4 and TiO 2 are also observed according to the XRD results.According to Zhongliang Zhu's research [2], the corrosion kinetics are proportional to the weight gain, which suggests that the lower weight gain corresponded to better corrosion resistance.Therefore, the order of corrosion resistance is 550 • C > 600 • C > 650 • C.This is mainly because when the temperature is low, the system cannot provide enough energy for reactions such as diffusion and oxidation [35].For the higher temperature range, Olivares et al. [62] have done some research.Alloy 282, Alloy 230, Alloy HR160, Alloy HR120 and Alloy 188 were tested at 700-1000 • C, 20 MPa S-CO 2 .
Their study shows that with the increase in temperature, the weight gain of the alloy has a dramatic increase, while the change in the internal oxidation zone is moderate.They drew the same conclusion that with the increase in temperature, the corrosion of the alloys in S-CO 2 becomes worse.
Furthermore, research on the effect of carburization behaviour has been done as well [37,65].With the increase in temperature, the structure of the outer oxide layer will change from single layer to double layer [37].In this process, defects such as pores, cracks and oxide grain boundaries in the chromia layer will be created and thus cause the diffusion of CO or CO 2 [65].This causes C to permeate and penetrate through the chromia layer even though C is almost insoluble in the oxide [65].With the temperature increasing, it is reported that the depth of carbide formation increased as well for Alloy 800HT, while the carburization rate of Alloy 600 and Alloy 690 barely changed.This suggests that the increase in temperature affects the diffusion rate of C to form coarser and deeper carbides [66].
Up to now, the test temperature for the corrosion behaviour of nickel-based alloys in S-CO 2 has been in the range of 550-750 • C [37,66].The corrosion behaviour at higher temperatures has hardly been studied.However, S-CO 2 will become more corrosive at higher temperatures [67].Thus, the corrosion behaviour of nickel-based alloys at higher temperatures needs to be investigated more in the future.

Effect of Pressure
Regarding the effect of pressure on corrosion behaviour, there are mainly two kinds of conclusions in the current research.Some researchers suggest that increasing pressure will lead to changes in corrosion behaviour [66,68].Other researchers believe that external environment pressure has a minor effect on corrosion behaviour [35,51,[69][70][71].Ho Jung Lee et al. [66] tested Alloy 600, Alloy 690 and Alloy 800HT at 600 • C by increasing the pressure from 0.1 MPa to 20 MPa for 1000 h.The results are shown in Figure 5 and suggest that with the increase in pressure, the alloys show a certain amount of weight gain.This may be induced by enhancement of the inward diffusion of the oxidant through the grain boundaries or defects in the oxide layer under high pressure [66].
higher temperatures [67].Thus, the corrosion behaviour of nickel-based allo temperatures needs to be investigated more in the future.

Effect of Pressure
Regarding the effect of pressure on corrosion behaviour, there are mainl of conclusions in the current research.Some researchers suggest that increasi will lead to changes in corrosion behaviour [66,68].Other researchers believe t environment pressure has a minor effect on corrosion behaviour [35,51,69-7 Lee et al. [66] tested Alloy 600, Alloy 690 and Alloy 800HT at 600 °C by in pressure from 0.1 MPa to 20 MPa for 1000 h.The results are shown in Figure 5 that with the increase in pressure, the alloys show a certain amount of weigh may be induced by enhancement of the inward diffusion of the oxidant throu boundaries or defects in the oxide layer under high pressure [66].Other studies [69,70] show an opposite conclusion.For chromia-fo alumina-forming nickel-based alloys, the weight gain shows minimal chan increase of pressure.Oleksak et al. [71] tested a few nickel-based alloys and fo change in pressure would not lead to the change in corrosion behaviour of th However, B. A. Pint [68] tested Alloy 625 and found that the increase in p have a positive effect on corrosion resistance.With the pressure increase formed a thicker oxide layer with less voids at 750 °C.The oxide layer is dens protective than those formed in lower pressure.This may be attributed t oxidation rate under higher pressure, which can reduce the defects of the oxi Ho Jung Lee's research [66] observed that the amount of accumulated C the interface between the oxide layer and the matrix with the increase However, the carburization could not penetrate deeper because the depth was by the diffusivity of C in the matrix instead of the ambient pressure.Other studies [69,70] show an opposite conclusion.For chromia-forming and aluminaforming nickel-based alloys, the weight gain shows minimal change with the increase of pressure.Oleksak et al. [71] tested a few nickel-based alloys and found that the change in pressure would not lead to the change in corrosion behaviour of the alloys.However, B. A. Pint [68] tested Alloy 625 and found that the increase in pressure may have a positive effect on corrosion resistance.With the pressure increase, Alloy 625 formed a thicker oxide layer with less voids at 750 • C. The oxide layer is denser and more protective than those formed in lower pressure.This may be attributed to the faster oxidation rate under higher pressure, which can reduce the defects of the oxide layer.
Ho Jung Lee's research [66] observed that the amount of accumulated C increased at the interface between the oxide layer and the matrix with the increase of pressure.However, the carburization could not penetrate deeper because the depth was determined by the diffusivity of C in the matrix instead of the ambient pressure.

Summary
In conclusion, temperature has a great effect on S-CO 2 corrosion behaviour.Increasing temperature not only accelerates the molecular thermal motion but also changes the composition of the corrosion product layer.This results in more holes, cracks and other defects and accelerates S-CO 2 corrosion.Compared with temperature, pressure has little effect on the corrosion of S-CO 2 .Increasing pressure will lead to enhancement of the oxidation rate and the thickness of oxidation products, thus accelerating corrosion.

Effect of Impurities
Impurities such as O 2 , H 2 O, CO and SO 2 will inevitably be added in the corrosion process of S-CO 2 under actual conditions.The impurities will affect the corrosion rate and corrosion products by altering thermodynamic and kinetic conditions [72].Thus, studies have been made to explore the effect of impurities on corrosion behaviour of nickel-based alloys with two categories of S-CO 2 : research grade (RG) and industrial grade (IG).The purity of RG and IG conditions are 99.999% and 99.95%, respectively [49].This section introduces the effect of various impurity contents on the corrosion behaviour of nickel-based alloys.

Effect of H 2 O
As a common impurity, H 2 O will be easily added into S-CO 2 corrosive environments in the form of water vapor.According to the studies by [73,74], the existence of H 2 O will create more path to diffuse, change the characteristic of diffusion, make water molecular to diffuse into the matrix and vaporize surface oxide [75,76].This results in the thickening of oxide layer, which can increase the amount of defects and induce spallation.
A study by [74] indicates that for Alloy 740, adding 100 ppm H 2 O thickens the oxide layer and increases the number of nodules.However, another study [77] suggests that the alloys do not gain more weight with the addition of H 2 O.At present, there is little research on the effect of H 2 O as the sole impurity in the corrosion behaviour of nickel-based alloys in high-temperature and -pressure S-CO 2 .Therefore, more research should be done to reveal the effects of H 2 O.

Effect of O 2
Many studies have been conducted on the effect of O 2 as an impurity on the corrosion behaviour of nickel-based alloys in high-temperature and -pressure S-CO 2 .However, the conclusions they have drawn have some distinctions.The corrosion behaviour of Haynes 230 in S-CO 2 with different O 2 contents at 650 and 750 • C was studied [78].As shown in Figure 6, those groups that contain O 2 show a higher weight gain than the pure RG group, which means corrosion intensification.The explanation is that with the addition of O 2 , the rate of Cr diffusion will be accelerated and lead to formation of the oxide layer with more defects.The results of another study [79] indicated that the existence of O 2 led to a thicker oxide layer and higher mass gain.
However, other studies have indicated positive effects of O 2 .Alloy 740 formed an oxide layer that is thinner and with fewer defects at 600 • C and 30 MPa with 100 ppm O 2 added [74].However, the effect of O 2 on carburization was negligible.This can be attributed to the steady oxide layer that is formed by the assistance of O 2 instead of S-CO 2 due to O 2 being thermodynamically more likely to form chromia with Cr.
Figure 6, those groups that contain O2 show a higher weight gain than the pure RG group, which means corrosion intensification.The explanation is that with the addition of O2, the rate of Cr diffusion will be accelerated and lead to formation of the oxide layer with more defects.The results of another study [79] indicated that the existence of O2 led to a thicker oxide layer and higher mass gain.

Effect of H 2 O + O 2
When both H 2 O and O 2 exist in S-CO 2 environments, the oxide layer on the surface of the nickel-based alloy evaporates.This causes the oxide layer to lose protection and continuity, leading to the deterioration of corrosion resistance [73].The chemical reaction that will occur during this process is shown as Reaction (7) [80,81]: Due to the serious effect on the corrosion resistance of the nickel-based alloy that Reaction (7) will bring, some studies on the synergistic effect of H 2 O and O 2 have been conducted [35,49,70].Oleksak et al. [35] suggest that at high pressure, chromium volatilization will occur with the presence of H 2 O + O 2 .Several nickel-based alloys have been tested at 750 • C and 30 MPa in S-CO 2 environments with 1% O 2 and 0.25% H 2 O [70].The light microscopy images of cross section for some alloys are shown in Figure 7.It can be obviously seen that the amount of nodules on the surface and the internal oxidation in the matrix increased with the addition of O 2 and H 2 O. Lehmusto [49] used the method of isotope labeling.He replaced the O in H 2 O with O 18 .The results show that in S-CO 2 environments with O 2 and H 2 O, H 2 O molecules do not dominate the reaction but instead induce it due to the disappearance of O 18 in the oxide layer after exposure.
Nevertheless, there are also some studies that found that the existence of both H 2 O and O 2 may improve corrosion resistance [81].It is suggested that there is a critical point of O 2 content (about 2%).When the content of O 2 is more than 2%, a thermodynamically stable and continuous chromia layer will be formed in S-CO 2 environments [81].As for H 2 O, it tends to support the growth of oxides and induce evaporation of the surface oxide layer, which corresponds to the findings by Lehmusto [49].
be obviously seen that the amount of nodules on the surface and the internal oxidation in the matrix increased with the addition of O2 and H2O.Lehmusto [49] used the method of isotope labeling.He replaced the O in H2O with O18.The results show that in S-CO2 environments with O2 and H2O, H2O molecules do not dominate the reaction but instead induce it due to the disappearance of O 18 in the oxide layer after exposure.Nevertheless, there are also some studies that found that the existence of both H2O and O2 may improve corrosion resistance [81].It is suggested that there is a critical point of O2 content (about 2%).When the content of O2 is more than 2%, a thermodynamically

Effect of CO
Due to the incomplete combustion of fossil fuels, some CO impurities may be added into S-CO 2 .A study [82] suggests that as a reducing gas, the existence of CO will lead to promotion of C deposition on the surface oxide layer.However, when the content of CO exceeds 1%, it will create defects such as voids, holes and cracks and transform the dense surface chromia layer into a porous one.The porous layer facilitates the permeation and diffusion of the corrosive gas into the matrix, leading to deterioration of corrosion resistance.The corrosion behaviour of Alloy 625 has been tested at 750 • C and 20 MPa S-CO 2 with and without 1% CO for 1000 h [82].The cross-sectional SEM images of the oxide layer that is formed on Alloy 625 is shown in Figure 8.For Alloy 625, a thicker and more porous chromia layer is formed with the presence of 1% CO, which suggests worse corrosion resistance.CO will not be beneficial to the corrosion resistance of the alloys.Thus, for further studies, researchers should put a premium on the elimination of CO from the Brayton cycle.
layer that is formed on Alloy 625 is shown in Figure 8.For Alloy 625, a thicker and more porous chromia layer is formed with the presence of 1% CO, which suggests worse corrosion resistance.CO will not be beneficial to the corrosion resistance of the alloys.Thus, for further studies, researchers should put a premium on the elimination of CO from the Brayton cycle.

Effect of SO2
As an acidic medium, SO2 will adversely affect the corrosion behaviour of the alloy in S-CO2 environments.Oleksak et al. [44] have conducted research on the effect of SO2.SO2 is highly corrosive even if the pressure is atmospheric.Another study [83] investigated the effect of adding 0.1% SO2 on the corrosion behaviour of five nickel-based alloys at different temperatures.The results are shown in Figure 9.The results show that with the lower ambient temperature, the corrosiveness of SO2 becomes more severe.However, the most corroded alloy (Alloy 617) happens to have a relatively high Cr content.This suggests that the corrosiveness of SO2 is related to the environments and the relationship with the alloy composition needs to further test.

Effect of SO 2
As an acidic medium, SO 2 will adversely affect the corrosion behaviour of the alloy in S-CO 2 environments.Oleksak et al. [44] have conducted research on the effect of SO 2 .SO 2 is highly corrosive even if the pressure is atmospheric.Another study [83] investigated the effect of adding 0.1% SO 2 on the corrosion behaviour of five nickel-based alloys at different temperatures.The results are shown in Figure 9.The results show that with the lower ambient temperature, the corrosiveness of SO 2 becomes more severe.However, the most corroded alloy (Alloy 617) happens to have a relatively high Cr content.This suggests that the corrosiveness of SO 2 is related to the environments and the relationship with the alloy composition needs to further test.

Effect of Flow Rate
As a fluid between the gaseous state and the liquid state, S-CO2 flows in actual working conditions.Thus, the flow rate of the fluid will affect the corrosion behaviour of the alloy as well.Oleksak [35] believes that at the flow rate of a real S-CO2 system, chromium volatilization should be considered as a potential problem.The increase of flow

Effect of Flow Rate
As a fluid between the gaseous state and the liquid state, S-CO 2 flows in actual working conditions.Thus, the flow rate of the fluid will affect the corrosion behaviour of the alloy as well.Oleksak [35] believes that at the flow rate of a real S-CO 2 system, chromium volatilization should be considered as a potential problem.The increase of flow rate will generally aggravate local corrosion.There are two reasons for this phenomenon: the fluid flow under dynamic condition promotes the mass transfer process of S-CO 2 to the specimen surface [84] and also promotes the electrochemical reaction of corrosion by changing the local chemical environment [85].In addition, the flow of S-CO 2 fluid will produce shear stress on the sample surface [86] and destroy the continuity and compactness of the oxide layer on the surface of the alloy.The incomplete oxide layer will aggravate the corrosion.However, due to the obstacles of the experimental equipment still unsolved, the above conclusions are based on previous studies on the effect of S-H 2 O flow rate on alloy corrosion behaviour.Therefore, more studies should be done when the problem of equipment is solved.

Conclusions and Outlook
Nickel-based alloy is used as an alternative candidate material in the S-CO 2 Brayton cycle system, and its corrosion behaviour is still in the exploratory stage.In view of the research completed so far, the following conclusions are made in this paper, and the problems to be solved are proposed:

•
For the corrosion mechanism, the corrosion process of materials in S-CO 2 is mainly controlled by ion diffusion, and the corrosion process is divided into oxidation and carburization.Nickel-based alloys have better corrosion resistance than austenitic stainless steel and ferritic/martensitic steel, because nickel-based alloys can form a dense oxide layer to prevent further corrosion.In addition, the nickel matrix has a lower activity of Cr and lower solubility and diffusivity of C.

•
The factors affecting the corrosion behaviour of nickel-based alloys in S-CO 2 environments can be mainly divided into two categories: the content of alloying elements and environmental factors.

•
Alloying elements can be divided into major elements and trace elements, and these elements play a decisive role in the corrosion resistance of nickel-based alloy.For major elements, the resistance of the alloy to oxidation and carburization increases with the increase of Ni and Cr content.However, for trace elements, the effect of some elements on the corrosion resistance of the alloy should be analyzed according to the specific situation.

•
Temperature is one of the most significant factors that affect alloy corrosion behaviour.Under high-temperature conditions, the corrosion of alloys in S-CO 2 will be aggravated, especially oxidation.However, carburization may reduce with increasing temperature under certain conditions.

•
Increases in pressure will increase the oxidation and carburization rate, thus accelerating corrosion.In some cases, a denser layer will also be formed, increasing the corrosion resistance of the alloys.

•
The presence of impurities such as O 2 , H 2 O, CO and SO 2 usually accelerates the corrosion of alloys in S-CO 2 .The addition of O 2 (with H 2 O) and CO will speed up the oxidation process.The formed oxide layer will thicken, spallation will occur, and the corrosion will be aggravated.As an acidic medium, SO 2 will accelerate the corrosion of alloys as well.

•
Compared with the above factors, the flow rate has little effect on the corrosion of alloys in S-CO 2 , which mainly changes the chemical environment of the alloy surface, promotes mass transfer and imposes shear stress.
In view of the current research, this paper puts forward the following problems to be solved:

•
The working environment of candidate alloys in the Brayton cycle is harsh; thus, stress is likely to exist.The corrosion behaviour of alloys with stress should be considered and studied in the future.

•
The effects of some trace alloying elements on the corrosion resistance of the alloy are seldom studied.The corrosion behaviour of these elements in S-CO 2 should be defined.

•
Studies on the effect of S-CO 2 flow rate on alloy corrosion behaviour are currently lacking due to obstacles in experimental equipment.Research should be conducted after the problem of experimental equipment is solved.

•
The integrity of the corrosion-resistant oxide layer would depend on the effective pinning of the inner layer when the corrosion layers are multiple.Thus, how the inherent impurities of the alloy will affect the pinning phenomenon should be discussed.

•
Surface coating, as a nanocrystaline microstructure, is widely used in corrosion protection.However, the effect of Ni-based alloys with nanocrystaline microstructure on S-CO 2 corrosion has not given attention.Further studies should pay attention to this area.

Figure 1 .
Figure 1.The corrosion kinetics of typical alloys in high−temperature CO2.Repr under Creative Commons Attribution (CC BY) license.

Figure 1 .
Figure 1.The corrosion kinetics of typical alloys in high−temperature CO 2 .Reprinted from [16] under Creative Commons Attribution (CC BY) license.

Figure 2 .
Figure 2. Schematic illustration of spallation for Alloy 800.Yellow layer stands for MnCr2O4.Blue layer stands for the Cr2O3.White layer stands for the amorphous C. Green layer stands for the SiO2.Orange layer stands for the Al2O3.Grey area stands for the Cr-depletion region.Reprinted from Xianglong Guo, Zhu Liu, Ling Li, Jichang Cheng, Haozhan Su, and Lefu Zhang."Revealing the long-term oxidation and carburization mechanism of 310S SS and Alloy 800H exposed to supercritical carbon dioxide."Materials Characterization 183 (2022): 111603.Copyright 2021, with permission from Elsevier [43].

Figure 2 .
Figure 2. Schematic illustration of spallation for Alloy 800.Yellow layer stands for MnCr 2 O 4. Blue layer stands for the Cr 2 O 3 .White layer stands for the amorphous C. Green layer stands for the SiO 2 .Orange layer stands for the Al 2 O 3 .Grey area stands for the Cr-depletion region.Reprinted from Xianglong Guo, Zhu Liu, Ling Li, Jichang Cheng, Haozhan Su, and Lefu Zhang."Revealing the long-term oxidation and carburization mechanism of 310S SS and Alloy 800H exposed to supercritical carbon dioxide."Materials Characterization 183 (2022): 111603.Copyright 2021, with permission from Elsevier [43].

Figure 3 .
Figure 3.The thickness of oxide layer for the three different experimental condition from Ho Jung Lee, Sung Hwan Kim, Hyunmyung Kim, and Changheui Jang."Co carburization behavior of Al-rich surface layer on Ni-base alloy in supercritical-car environment."Applied Surface Science 388 (2016): 483-490, Copyright 2015, with perm Elsevier [56].

Figure 3 .
Figure 3.The thickness of oxide layer for the three different experimental conditions.Reprinted from Ho Jung Lee, Sung Hwan Kim, Hyunmyung Kim, and Changheui Jang."Corrosion and carburization behavior of Al-rich surface layer on Ni-base alloy in supercritical-carbon dioxide environment."Applied Surface Science 388 (2016): 483-490, Copyright 2015, with permission from Elsevier [56].

Figure 6 .
Figure 6.Weight gain of Haynes 230 at different S-CO2 purity levels at (a) 650 °C and (b) 750 °C.Reprinted from Jacob Mahaffey, David Adam, Andrew Brittan, Mark Anderson, and Kumar Sridharan."Corrosion of alloy Haynes 230 in high temperature supercritical carbon dioxide with

Figure 7 .
Figure 7.Light microscopy images of cross section at RG S-CO2 with or without impurities.Reprinted from Pint, Bruce A., Juho Lehmusto, Michael J. Lance, and James R. Keiser."Effect of pressure and impurities on oxidation in supercritical CO2." Materials and Corrosion 70, no. 8 (2019): 1400-1409, Copyright 2019, with permission from John Wiley and Sons [70].

Figure 7 .
Figure 7.Light microscopy images of cross section at RG S-CO 2 with or without impurities.Reprinted from Pint, Bruce A., Juho Lehmusto, Michael J. Lance, and James R. Keiser."Effect of pressure and impurities on oxidation in supercritical CO 2 ."Materials and Corrosion 70, no. 8 (2019): 1400-1409, Copyright 2019, with permission from John Wiley and Sons [70].