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The Effect of Water Vapor on High Temperature Oxidation of Fe-Cr Alloys at 1073 K Mohd Hanafi Bin Ani * , Toshiya Kodama, Mitsutoshi Ueda, Kenichi Kawamura and Toshio Maruyama Department of Metallurgy and Ceramics Sciences, Graduate School of Science and Engineering, Tokyo Institute of Technology, Tokyo 152-8552, Japan The effect of water vapor on high temperature oxidation was studied based on Wagner’s theory of binary alloy oxidation. The oxidation of Fe-Cr alloys was carried out at 1073 K in dry and humid conditions. The oxidation was conducted in a closed apparatus at 1073 K and the oxygen partial pressure of 1:1 10 14 Pa, which was fixed by a Fe/FeO buffer. To prepare the humid condition, Ar-5% H 2 gas mixture of 3 10 4 Pa was filled in the apparatus, which provided the water vapor pressure of 3:3 10 2 Pa. The transition of internal and external oxidation was observed in Fe-8Cr in the dry condition and in Fe-12Cr in the humid condition. Interdiffusion experiment of Fe/Fe-16Cr diffusion couples in dry and humid environments showed that the diffusion coefficient of Cr was not influenced by dissolved hydrogen. The oxygen permeability in -Fe was determined by means of internal oxidation of Fe-5Cr alloy at 1073 K and the oxygen partial pressure of 1:1 10 14 Pa in a dry and two humid conditions with water vapor of 1:1 10 2 Pa and 3:3 10 2 Pa. The oxygen permeability in humid condition increases by a factor of 1.4. Dissolved hydrogen increases the oxygen permeability, thus increases the minimum concentration of Cr to form external scales in humid conditions. The presence of dissolved hydrogen changes the oxide shape from discrete spherical particle to spike- like precipitates, which enhances the oxygen transport along the metal/oxide precipitates interface. [doi:10.2320/matertrans.M2009212] (Received June 22, 2009; Accepted August 27, 2009; Published October 25, 2009) Keywords: steam oxidation, internal oxidation, external oxidation 1. Introduction There is an essential demand to increase the operation temperature in steam-power generation in order to improve the efficiency of energy conversion. Higher efficiency results in lowering the CO 2 emission and suppressing the global warming. The target temperature is 973 K. The operation temperature in current power plants is 883 K at 31 MPa. 1) Fe- Cr ferritic alloys with Cr composition of 9 to 12 mass% have been currently in service. The formation of protective Cr 2 O 3 scale in the steam oxidation is a key issue because the scale lowers the oxidation rate dramatically. The presence of water vapor in oxidation environment greatly affects the formation of oxide scales on Fe-Cr alloys. Many studies have shown that oxidation rates in humid environment are relatively higher than in dry environ- ment. 2–6) A possible mechanism is that water vapor retards the formation of protective scale. Extensive works have been done to understand the role of water vapor in impeding the formation of protective Cr 2 O 3 scale, but the explanations remain in qualitative manner. Segerdahl et al. 7) summarized that presently there is no consensus regarding the cause of accelerated oxidation in humid environment. Oxidation in the early stage plays important roles in the formation of protective scale. For general A-B alloy, where B is more stable than lowest oxide of A, Wagner 8) has proposed a minimum concentration of B in a binary A-B alloy required to form continuous protective scale of oxide of atom B. In case of Fe-Cr alloys, Cr concentration required to form external Cr 2 O 3 scale is shown as below. N Cr > %g N (s) O D O V Alloy 2vD Cr V CrO 1:5 " # 1 2 ð1Þ where N O (s) is the mole fraction of oxygen at the metal surface, D O and D Cr are diffusion coefficients of oxygen and Cr in the alloy, respectively. V Alloy and V CrO 1:5 are molar volumes of alloy and CrO 1:5 . v is the atomic ratio of O to Cr in Cr 2 O 3 (v ¼ 1:5). g is the volume fraction of internal oxide precipitates when external oxidation takes place. Rapp 9) has evaluated the transition from internal to external oxidation in Ag-In binary alloys and proposed that the value of g is 0.3. Below this critical concentration the internal oxidation may show up and above this value the external scale will form. Equation (1) shows that the permeability of oxygen in Fe-Cr alloy, N O (s) D O , and the diffusion coefficient of chromium, D Cr , plays an important role in the formation of continuous Cr 2 O 3 scale. When water vapor presents in the oxidation atmosphere, it may retard the formation of protective Cr 2 O 3 scale. The question is how water vapor affects these two parameters of N O (s) D O and D Cr . The presence of water vapor provides an excessive supply of hydrogen, which is dissociated from water vapor. In a metallic phase, a possible hydrogen state is a neutral atom. The aim of this study is to clarify the effects of dissolved hydrogen atoms in the alloy on the formation of continuous Cr 2 O 3 scale based on Wagner’s eq. (1). In this paper, high temperature oxidation experiments in dry and humid conditions were conducted on Fe-Cr alloys with Cr concentrations ranging from 5 to 17 mass% at 1073 K to clarify the critical concentration of Cr to form external scale on dry and hydrogen containing environment. The experiment was purposely conducted at higher temperature than existing operation temperature of 883 K to accelerate the oxidation and remarks the water vapor effects. The change in precipitates oxide and oxygen permeability of Fe-5Cr alloy was meticulously inspected. Furthermore, interdiffusion experiment of Fe/Fe-16 mass% Cr diffusion * Graduate Student, Tokyo Institute of Technology Materials Transactions, Vol. 50, No. 11 (2009) pp. 2656 to 2663 #2009 The Japan Institute of Metals EXPRESS REGULAR ARTICLE

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Page 1: The Effect of Water Vapor on High Temperature Oxidation of ... · Oxide phases formed were analyzed by X-ray diffraction (XRD) using the divergence slit of 1 degree. A fluorescence

The Effect of Water Vapor on High Temperature Oxidation

of Fe-Cr Alloys at 1073K

Mohd Hanafi Bin Ani*, Toshiya Kodama, Mitsutoshi Ueda,Kenichi Kawamura and Toshio Maruyama

Department of Metallurgy and Ceramics Sciences, Graduate School of Science and Engineering,Tokyo Institute of Technology, Tokyo 152-8552, Japan

The effect of water vapor on high temperature oxidation was studied based on Wagner’s theory of binary alloy oxidation. The oxidation ofFe-Cr alloys was carried out at 1073K in dry and humid conditions. The oxidation was conducted in a closed apparatus at 1073K and the oxygenpartial pressure of 1:1� 10�14 Pa, which was fixed by a Fe/FeO buffer. To prepare the humid condition, Ar-5% H2 gas mixture of 3� 104 Pawas filled in the apparatus, which provided the water vapor pressure of 3:3� 102 Pa. The transition of internal and external oxidation wasobserved in Fe-8Cr in the dry condition and in Fe-12Cr in the humid condition.

Interdiffusion experiment of Fe/Fe-16Cr diffusion couples in dry and humid environments showed that the diffusion coefficient of Cr wasnot influenced by dissolved hydrogen.

The oxygen permeability in �-Fe was determined by means of internal oxidation of Fe-5Cr alloy at 1073K and the oxygen partial pressureof 1:1� 10�14 Pa in a dry and two humid conditions with water vapor of 1:1� 102 Pa and 3:3� 102 Pa. The oxygen permeability in humidcondition increases by a factor of 1.4. Dissolved hydrogen increases the oxygen permeability, thus increases the minimum concentration of Cr toform external scales in humid conditions. The presence of dissolved hydrogen changes the oxide shape from discrete spherical particle to spike-like precipitates, which enhances the oxygen transport along the metal/oxide precipitates interface. [doi:10.2320/matertrans.M2009212]

(Received June 22, 2009; Accepted August 27, 2009; Published October 25, 2009)

Keywords: steam oxidation, internal oxidation, external oxidation

1. Introduction

There is an essential demand to increase the operationtemperature in steam-power generation in order to improvethe efficiency of energy conversion. Higher efficiency resultsin lowering the CO2 emission and suppressing the globalwarming. The target temperature is 973K. The operationtemperature in current power plants is 883K at 31MPa.1) Fe-Cr ferritic alloys with Cr composition of 9 to 12mass% havebeen currently in service. The formation of protective Cr2O3

scale in the steam oxidation is a key issue because the scalelowers the oxidation rate dramatically.

The presence of water vapor in oxidation environmentgreatly affects the formation of oxide scales on Fe-Cr alloys.Many studies have shown that oxidation rates in humidenvironment are relatively higher than in dry environ-ment.2–6) A possible mechanism is that water vapor retardsthe formation of protective scale. Extensive works have beendone to understand the role of water vapor in impeding theformation of protective Cr2O3 scale, but the explanationsremain in qualitative manner. Segerdahl et al.7) summarizedthat presently there is no consensus regarding the cause ofaccelerated oxidation in humid environment.

Oxidation in the early stage plays important roles in theformation of protective scale. For general A-B alloy, where Bis more stable than lowest oxide of A, Wagner8) has proposeda minimum concentration of B in a binary A-B alloy requiredto form continuous protective scale of oxide of atom B. Incase of Fe-Cr alloys, Cr concentration required to formexternal Cr2O3 scale is shown as below.

N�Cr >

�g�N(s)O DOVAlloy

2vDCrVCrO1:5

" #12

ð1Þ

where NO(s) is the mole fraction of oxygen at the metal

surface, DO and DCr are diffusion coefficients of oxygen andCr in the alloy, respectively. VAlloy and VCrO1:5

are molarvolumes of alloy and CrO1:5. v is the atomic ratio of O toCr in Cr2O3 (v ¼ 1:5). g� is the volume fraction of internaloxide precipitates when external oxidation takes place.Rapp9) has evaluated the transition from internal to externaloxidation in Ag-In binary alloys and proposed that the valueof g� is 0.3.

Below this critical concentration the internal oxidationmay show up and above this value the external scale willform. Equation (1) shows that the permeability of oxygenin Fe-Cr alloy, NO

(s)DO, and the diffusion coefficient ofchromium, DCr, plays an important role in the formationof continuous Cr2O3 scale. When water vapor presents inthe oxidation atmosphere, it may retard the formation ofprotective Cr2O3 scale. The question is how water vaporaffects these two parameters of NO

(s)DO and DCr. Thepresence of water vapor provides an excessive supply ofhydrogen, which is dissociated from water vapor. In ametallic phase, a possible hydrogen state is a neutral atom.The aim of this study is to clarify the effects of dissolvedhydrogen atoms in the alloy on the formation of continuousCr2O3 scale based on Wagner’s eq. (1).

In this paper, high temperature oxidation experiments indry and humid conditions were conducted on Fe-Cr alloyswith Cr concentrations ranging from 5 to 17mass% at 1073Kto clarify the critical concentration of Cr to form externalscale on dry and hydrogen containing environment. Theexperiment was purposely conducted at higher temperaturethan existing operation temperature of 883K to acceleratethe oxidation and remarks the water vapor effects. Thechange in precipitates oxide and oxygen permeability ofFe-5Cr alloy was meticulously inspected. Furthermore,interdiffusion experiment of Fe/Fe-16mass% Cr diffusion*Graduate Student, Tokyo Institute of Technology

Materials Transactions, Vol. 50, No. 11 (2009) pp. 2656 to 2663#2009 The Japan Institute of Metals EXPRESS REGULAR ARTICLE

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couple in dry and humid condition was conducted in order toevaluate the effect of dissolved hydrogen on Cr diffusivity inFe-Cr alloy.

In this manner, the effects of dissolved hydrogen onoxygen permeability and Cr diffusivity in �-Fe was quanti-tatively clarified.

2. Experimental

2.1 Oxidation of Fe-Cr alloysFe-Cr alloys were prepared from high-purity Fe (99.99%)

and Cr (99.9%) plates by arc melting in Ar gas. The alloyswere in form of 20 g buttons and were annealed for 86.4 ks at1373K in vacuum. Then, the alloys were sliced into couponsof 1mm thick and ground with an emery paper of # 2000, andfinally polished with 4 mm diamond paste. The samples werecleaned in ethanol with ultrasonic agitation. Chemicalcomposition and phases in the alloys were analyzed usingelectron probe micro analyzer (EPMA) and x-ray diffraction(XRD). The chemical compositions of Fe-Cr alloys areshown in Table 1.

Figure 1 shows the experimental setup. The sample wasplaced in an airtight apparatus. Two R-type thermocoupleswere placed at the top and bottom of the sample to monitorthe temperature. The distance between sample and thermo-couple is about 5mm. The isothermal zone is 30mm rangewith temperature fluctuates �0:5K. The oxygen partialpressure in the atmosphere was fixed by an Fe/FeO bufferand was calculated by the standard Gibbs energy change ofthe reaction below.

0.947 Feþ 1/2O2 ! Fe0:947O ð2Þ

FeO was known as a non-stoichiometric substance, havinga chemical composition of Fe0:947O at 1073K. Thestandard Gibbs energy change of the eq. (2) at 1073K is�194:7 kJmol�1 from thermodynamic data compiled byBarin.13) The calculated equilibrium oxygen partial pressureis 1:1� 10�14 Pa.

For the oxidation in dry environment, the apparatus wasevacuated using a rotary pump for 1.8 ks and closed. Thesample was heated to 1073K and hold for 172.8 ks. For theoxidation in humid environment, the apparatus was evac-uated, filled with Ar-5% H2 gas of 3� 104 Pa and closed.The sample was heated to 1073K and hold for 172.8 ks.Hydrogen in the chamber reacts with oxygen to form watervapor as the following manner,

H2 þ 1/2O2 ! H2O ð3Þ

At 1073K, the measured total pressure of the apparatuswas 4� 104 Pa. Using the standard Gibbs energy changeof �188:7 kJmol�1 at 1073K compiled by Barin, the watervapor pressure is calculated to be 3:3� 102 Pa. Afteroxidation, the samples were cooled to room temperature inthe furnace.

Oxide phases formed were analyzed by X-ray diffraction(XRD) using the divergence slit of 1 degree. A fluorescenceplate was used to estimate the irradiation area of the X-ray.At low diffraction angle of 20� the irradiation area is19mm� 14mm, and at high diffraction angle of 80� theirradiation area is 6mm� 14mm. To examine the oxidephases in the internal oxidation zone, a sample was tilted 2degree and polished. Distribution of elements was analyzedby EPMA. Surface morphology was observed by scanningelectron microscopy (SEM).

2.2 Interdiffusion of Fe/Fe-16mass% CrThe Fe/Fe-16mass% Cr diffusion couple was employed.

Fe (99.99%) and Fe-16mass% Cr plate were used fordiffusion couples. The chemical composition of Fe-16mass% Cr alloy is shown in Table 2. Figure 2 shows theschematic diagram of the diffusion couple and the exper-imental apparatus.

The diffusion couple was inserted into an electric furnaceas shown in Fig. 2, and annealed at 1073K for 691.2 ks invacuum for experiment in dry environment. To simulatea humid environment, the diffusion couple was annealedunder flowing Ar-20% H2 mixed gas. The gas flow ratewas 1:67� 10�6 m3s�1. Zr sponge as an oxygen getter was

Table 1 Chemical composition of the Fe-Cr alloys.

Alloys Fe Concentration (mass%) Cr Concentration (mass%)

Fe-8Cr 91.8 8.2

Fe-10Cr 90.2 9.8

Fe-12Cr 87.5 12.5

Fe-17Cr 83.1 16.9

Fig. 1 Experimental setup for oxidation in dry and humid condition at

1073K.

Table 2 Chemical composition of Fe-16mass% Cr alloy.

Elements Fe Cr C Si Mn Al P S

Mass% Bal. 15.95 0.0034 0.1 0.12 0.006 0.032 0.006

Fig. 2 Schematic illustration of the apparatus of diffusion experiment

using the Fe/Fe-16mass% Cr as a diffusion couple.

The Effect of Water Vapor on High Temperature Oxidation of Fe-Cr Alloys at 1073K 2657

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set on the bottom of the diffusion couples to avoid theoxidation of the samples. Two R-type thermocouples wereplaced on the top and bottom of the diffusion couple tomonitor the temperature during the experiment. At theisothermal zone, the temperature was fluctuated around�0:5K. After the reaction, the diffusion couple was cut,polished and analyzed by SEM and EPMA. The concen-tration of Cr and Fe were quantitatively determined by pointanalysis of EPMA.

2.3 Internal oxidation in Fe-5mass% CrOxygen permeability in internal oxidation zone (IOZ)

was measured by the means of internal oxidation of Fe-5mass% Cr alloy. Table 3 shows the chemical compositionof the alloy. Experimental procedures and conditions ofthe internal oxidation are exactly the same as describedin 2.1. To evaluate the effect of dissolved hydrogen onthe oxidation, the experiment was done in two differentwater vapor pressures. The apparatus was evacuated, filledwith Ar-5% H2 mixed gas of 1� 104 Pa and 3� 104 Parespectively. At 1073K, the measured total pressures inthe apparatus were 1:3� 104 Pa and 4� 104 Pa. The watervapor pressures were calculated to be 1:1� 102 Pa and3:3� 102 Pa respectively.

After oxidation, cross section of the sample was examinedand the depth of IOZ was measured. The depth of IOZ wasmeasured randomly on both side of the samples’ surface forat least 75 readings of each sample. Then, the mean valueof the depth was determined.

3. Results

3.1 Oxidation of Fe-Cr alloysFigure 3 shows cross sections of Fe-8Cr, -10Cr and -12Cr

in dry and humid environments. In dry environment, thincontinuous oxide layer is observed on the Fe-8Cr alloysurface. Internal oxide precipitates beneath the continuousoxide layer. External scale is observed on the alloys with Crconcentration higher than 10mass%. In these two alloys, nointernal precipitated oxide is observed. However, in humidenvironment, only internal oxide precipitated is observed onFe-10Cr. In Fe-12Cr alloy external oxide scale and internalprecipitated oxide is observed.

Figure 4 shows various parts of cross section of Fe-8Crand Fe-12Cr in dry and humid environments, respectively.The microstructures apparently show that internal oxidationand external oxidation occur simultaneously in one speci-men, probably depending on the small difference of surfacecondition. Some parts of the samples show that internal oxideis formed beneath the continuous external scale. The thick-ness of continuous scale is about less than 2 mm on bothsamples. Despite the difference in Cr concentration, bothalloys exhibit almost an identical microstructure. Theseresults indicated that the transition from internal oxidation toexternal oxidation occurred on Fe-8Cr in dry environment,while the transition took place on Fe-12Cr alloys in humid.Figure 5 summarizes the mode of oxide morphology of eachsample in dry and humid conditions. In the higher Crconcentration, as such in Fe-17Cr alloy, the sample exhibitsan external oxidation both in dry and humid conditions.While lower Cr concentration, as could be observed in Fe-5Cr alloy, gives completely internal oxidation.

3.2 Phase identificationFigure 6 shows the XRD patterns of the sample surfaces

Table 3 Chemical composition of Fe-5mass% Cr alloy.

Elements Fe Cr C Si Mn Al P S

Mass% Bal. 4.98 0.0012 0.005 0.002 0.006 0.002 0.0001

Fig. 3 Scanning electron micrographs of the cross section of samples oxidized under dry and humid conditions at 1073K, after 172.8 ks.

2658 M. H. B. Ani, T. Kodama, M. Ueda, K. Kawamura and T. Maruyama

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oxidized in dry and humid conditions for 172.8 ks. The XRDpatterns are not different both in dry and humid conditions.Fe-5Cr alloys show that only FeCr2O4 was formed. Alloyswith Cr concentration from 8 to 12mass% formed FeCr2O4

and Cr2O3. The peaks of Cr2O3 are less intense than ofFeCr2O4. The results of Fe-17Cr show only Cr2O3 wasformed. All samples show the peaks of �-Fe, which meansthat the oxide scales are thin enough for x-ray to penetrateinto alloy substrate.

Figure 7 presents the morphology of unpolished andpolished (2 degree) surfaces of a Fe-12Cr alloy in humidenvironment. Unpolished surface shows that the oxide

structures are undulating with some coarse oxide particles.From the elemental analysis, it is clear that Cr and Fe areenriched at the surface. Oxygen also was detected at thissurface. On the contrary, surface that has been tilted andpolished show that Cr and oxygen enriched in oxide scale.In some parts of the oxide, metallic Fe was observed in oxideclose to the alloy due to uneven alloy/oxide interface. Theintensity of Fe in the oxide decreases gradually from alloy/oxide interface toward the oxide scale. XRD results showthat only Cr2O3 is detected at alloy/oxide interface.

3.3 Diffusion profile of Fe/Fe-16mass% CrFigure 8 shows the Cr concentration profile of Fe/

Fe-16mass% Cr diffusion couples annealed at 1073K for691.2 ks in dry and humid conditions. The Cr concentrationprofiles in dry and humid environments do not exhibitsignificant difference in each other.

Fig. 5 Summary of the oxide morphology for each sample in dry and

humid condition.

Fig. 4 Cross section of the alloys show the internal and external oxidation.

Fig. 6 XRD patterns of samples in dry and humid at 1073K, after 172.8 ks.

The Effect of Water Vapor on High Temperature Oxidation of Fe-Cr Alloys at 1073K 2659

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The interdiffusion coefficient of Cr was obtained from thedata in Fig. 8 as a function of Cr concentration and shown inFig. 9. The interdiffusion coefficients of Cr in dry and humidare scattered from 6� 10�16 to 10� 10�16 m2s�1. Thesevalues are very close to the value reported by Oikawa.14)

From these results, it is concluded that the effect of hydrogenon the diffusivity of Cr is negligible.

3.4 Morphology and thickness of IOZ of Fe-5CrFigure 10 shows typical optical microscope images of the

internal oxide formed on Fe-5Cr alloys in dry condition andhumid condition (1:3� 104 Pa and 4:0� 104 Pa of Ar-5% H2

gas mixture). In dry condition, the oxide precipitates in fine

particles around 1 mm near the shallow sub-surface zone atthe early stage of oxidation. As the oxidation proceeds, theoxide grows in spherical shape. In humid condition, some ofthe oxides grow in a preferential direction giving spike-likeshape. The difference in morphology of precipitated oxides isclearly exhibits on samples oxidized at 1073K for 432 ks in1:3� 104 Pa Ar-5% H2 gas mixture. The IOZ containingspike-like oxide is thicker than the IOZ with spherical oxide.As oxidation time increase, i.e. at 432 ks, the difference inthickness becomes apparent between IOZs with spike-likeand spherical oxides. However, almost similar thickness ofIOZ was observed both in spike and sphere oxide on thesample that was exposed in 4:0� 104 Pa Ar-5% H2 for 432 ks.

Fig. 7 Morphology of unpolished and 2 degree polished Fe-12Cr oxidized in humid condition and their XRD results.

2660 M. H. B. Ani, T. Kodama, M. Ueda, K. Kawamura and T. Maruyama

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Figure 11 shows the thickness of IOZ of Fe-5Cr as afunction of the oxidation time. Thickness of IOZ thatoxidized up to 172.8 ks in humid condition is thicker thanthat in dry condition. The growth of IOZ basically follows theparabolic rate law.

x2 ¼ 2kpt ð4Þ

where x is the thickness of IOZ, t is the oxidation time andkp is the parabolic rate constant.

For the sample in dry condition, kp is 1:75� 10�15 m2s�1.

In the humid conditions, growth of IOZ is enhanced. Theparabolic rate constants are 2:70� 10�15 m2s�1 and 2:40�10�15 m2s�1 in Ar-5% H2 gas mixture of 1:3� 104 Pa and4:1� 104 Pa, respectively.

4. Discussion

Internal oxidation behavior described in 3.1 and 3.2indicated water vapor retarded the formation of the externalscale of chromium oxide on Fe-Cr binary alloy. Hydrogen

Fig. 8 Cr profile of the samples by point analysis of EPMA.

Fig. 9 Interdiffusion coefficient of Cr as a function of Cr concentration.

Fig. 10 Cross sectional of Fe-5Cr oxidized in dry and humid condition at 1073K.

The Effect of Water Vapor on High Temperature Oxidation of Fe-Cr Alloys at 1073K 2661

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has known to easily dissolve in bulk �-Fe as summarizedby many researchers.10–12,14) Hydrogen rapidly diffuses inthe Fe after short exposure in hydrogen rich environment.According to theWagner eq. (1), the possible effects of watervapor, i.e. dissolved hydrogen, may be the decrease ofdiffusion coefficient of Cr in the alloy and/or the increase ofoxygen permeability in IOZ. The effect of hydrogen on thediffusivity of Cr was shown to be negligible in 3.3. The effectof hydrogen on the oxygen permeability was significant asshown in 3.4.

These data gives insight that interdiffusion experimentof Fe/Fe-16mass% Cr diffusion couple in dry and humidcondition was conducted in order to evaluate the effect ofdissolved hydrogen on Cr diffusivity in Fe-Cr alloy.

The oxidation kinetics for growth of IOZ was parabolic,indicating that diffusion was the rate controlling process.This suggests that adsorption of oxygen on the surface,or surface reaction is not a limiting factor in the oxidationkinetics. Or in other word, the reaction between Fe and FeOis fast enough and assures the oxygen supply from theFe/FeO buffer to the environment.

Wagner8) has proposed theoretical expression for thekinetics of internal oxidation.

x2 ¼2N(s)

O DO

vNCr

t ð5Þ

where NCr is the original concentration of Cr.From eq. (4) and (5), it is well understood that the

parabolic rate constant, kp is proportional to the oxygenpermeability, NO

(s)DO. In this way, the permeability ofoxygen in �-Fe with or without hydrogen was determined.Figure 12 shows the oxygen permeability as a function ofwater vapor pressure. The oxygen permeability in humid islarger than that in dry as a factor of 1.4 and independentof water vapor pressure. Equation (1) states that Cr con-centration is proportional to the square root of oxygenpermeability. The diffusion experiment on Fe/Fe-16mass%Cr showed that the diffusion coefficient of Cr in alloy isneither changed in dry nor in humid condition. Therefore,the ratio of Cr concentration required to form Cr2O3 scalein humid and dry conditions is given by the square root ofthe ratio oxygen permeability (eq. (6)). The resulting ratiois about 1.2.

N�Cr(humid)

N�Cr(dry)

¼N(s)O DO(humid)

N(s)O DO(dry)

" #12

� 1:2 ð6Þ

where N�Cr(humid) and N�

Cr(dry) is critical Cr concentration toform external scale in humid and dry condition, respectively.N(s)O DO(humid) is oxygen permeability in Fe-Cr alloy oxidized

in humid condition, N(s)O DO(dry) is oxygen permeability in

Fe-Cr alloy oxidized in dry condition.Figure 13 summarizes the mode of oxidation in both dry

and humid environment as a function of water vapor pressureand Cr concentration. Higher Cr concentration is requiredto form external oxide in humid compared with in dryenvironments.

Fig. 11 Thickness of IOZ as a function of oxidation time.

Fig. 12 The increase of oxygen permeability in humid environment.

Fig. 13 Oxidation map of Fe-Cr alloys oxidized in dry and humid

condition.

2662 M. H. B. Ani, T. Kodama, M. Ueda, K. Kawamura and T. Maruyama

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Oxygen permeability, NO(s)DO, is a product of mole

fraction of oxygen in metal surface (or oxygen solubility)and diffusion coefficient of oxygen in alloy. An increasein oxygen permeability arises from increases in these twoparameters. It is impossible to evaluate separately thecontribution of the parameters in this study. However, thechange of internal oxide’s shape of the Fe-5Cr alloy fromsphere (in dry) to spike (in humid) strongly suggests thatdissolved hydrogen enhances the transport of oxygen inIOZ.

In dry condition, many works have been done to inves-tigate the enhancement of oxygen transport along the alloy/oxide precipitates interface in IOZ (Fe-Al alloy,15–17) Fe-Sialloy,18) Ni-Al alloy,19–22) Ni-Cr alloy.19–22) On the otherhand, in this work it is clearly demonstrated that the presenceof water vapor also changes the oxide shape from discretespherical particles to spike-like precipitates. This is a clearevidence that the oxygen transport in IOZ was enhancesby dissolved hydrogen along the metal/oxide precipitatesinterfaces.

5. Conclusion

The oxidation of Fe-Cr alloys was investigated in dryand humid environments at 1073K under the oxygenpressure of 1:1� 10�14 Pa. The oxide scale formation atearly stage is strongly influenced by the presence ofhumidity. The transition form internal to external oxidationin Fe-Cr alloys occurs at 8mass% Cr and 12mass% Cr indry and humid environments, respectively. The oxygenpermeability increases by factor of 1.4 in humid against indry condition due to the change in morphology of internaloxides. The increase in oxygen permeability requires themore Cr content than in dry condition by the factor of 1.2 toform external scale of Cr2O3. Dissolved hydrogen enhancesthe transport of oxygen along metal/oxide precipitatesinterface.

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The Effect of Water Vapor on High Temperature Oxidation of Fe-Cr Alloys at 1073K 2663