Metallic Nuclear Fuel Study at ... - University of...
Transcript of Metallic Nuclear Fuel Study at ... - University of...
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Outline
Ø Introduction
Ø Objective
Ø Experimental Details
Ø Results and Discussion
Ø Future Plan
Ø Sponsor, Partner and Group Members
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Introduction: Metallic Fuel
Nuclear energy is very important: Advantages: • Safest • Cheapest • Clean • High Efficiency
Major nuclear fuel types: • Oxide • Metallic • Ceramics (carbide, nitride)
Metallic fuels[1]: Advantages: • high thermal conductivity • passive safety • ease of fabrication • ease of recycling
Alloy elements are required, such as: Zr, Mo, Ti, Cr.
Use of nuclear power: • 20% in USA • 30% in EU • 80% in France • 30% in Japan
[1] G.L. Hofman, et al, Prog Nucl Energ, 31 (1997) 83-110.
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Introduction: U-Zr fuel
U-Zr fuel: • developed for sodium fast reactor (SFR) • encapsulated in stainless steel cladding
SFR[1]: • generation IV nuclear reactor designs • employs liquid sodium as coolant • employs fast neutrons as source • high efficiency of using nuclear fuels • minimizes long-lived actinide waste production
FCI (Fuel Cladding Interaction)
U-23at.%Zr vs. Fe diffusion couple annealed at 923K [2].
[2] K. Nakamura, et al, J Nucl Mater, 275 (1999) 246-254.
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Introduction: U-Mo fuel
U-Mo fuel: • developed for the program of Reduced Enrichment for Research and Test Reactor (RERTR)
• dispersed or laminated in aluminum or Al alloy RERTR [3]:
• to avoid nuclear proliferation • convert research and test reactor from using HEU fuels to LEU fuels • increase density of U isotopes in the fuel
Al
UMo
U-10wt.%Mo vs Al at 550°C for 1 hour[4] U-10wt.%Mo vs Al after irradiation [5]
[3] D. Keiser, et al, JOM 55 (2003) 55-58. [4] F. Mazaudier, et al, J Nucl Mater, 377 (2008) 476-485. [5] D. Wachs, et al, High Density Fuel Development for Research Reactors,(2007).
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Introduction: FCI and Objective
FCI (Fuel Cladding Interaction) • induced by interdiffusion. • involves multiple-phases and multiple-components. Deleterious effects: • thins the cladding layer. • produces phases with relative low melting point.
Objective: to help understand the complex FCI . to provide the experimental diffusion data to verify and improve FCI modeling. to explore potential barrier layer materials to impede FCI. Experiments: Solid-to-solid isothermal diffusion studies were carried out. Scanning Electron Microscopy (SEM) and Electron Probe Microanalysis (EPMA ) and Transmission electron microscopy (TEM) were applied to analyze the microstructure, phase constituents and concentration profiles.
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Diffusion Matrix
U related diffusion Cladding related diffusion
U vs. Fe Fe vs. Mo U vs. Fe-‐15Cr Fe vs. Zr U vs. Fe-‐15Cr-‐15Ni Mo vs. Zr U-‐Zr vs. Fe Mo vs. Fe-‐15Cr U-‐Zr vs. Fe-‐15Cr Zr vs. Fe-‐15Cr U-‐Zr vs. Fe-‐15Cr-‐15Ni Mo vs. Fe-‐15Cr-‐15Ni U vs. Mo Zr vs. Fe-‐15Cr-‐15Ni U-‐Mo vs. Al U-‐Mo vs. Al-‐Si
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U vs. Fe: SEM and EPMA
U U6Fe UFe2 Fe
00.10.20.30.40.50.60.70.80.91
0 50 100 150
Concen
tration (atom fractio
n)
Distance (µm)
FeU
SEM and EPMA concentration profiles of U vs. Fe at 923K for 4 days.
Thickness of U6Fe and UFe2.
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U vs. Fe: Growth Constant
1E-‐18
1E-‐17
1E-‐16
1E-‐15
1E-‐14
1E-‐13
1 1.05 1.1 1.15 1.2
1000/T(K)
K2 U6Fe in A phaseK2 U6Fe in B phasesK2 UFe2 in A phaseK2 UFe2 in B phaseK1 U6Fe in A phaseK1 U6Fe in B phaseK1 UFe2 in A phaseK1 Ufe 2 in B phase
KII U6Fe α-‐UKII U6Fe β-‐UKII UFe2 α-‐UKII UFe2 β-‐UKI U6Fe α-‐UKI U6Fe β-‐UKI UFe2 α-‐UKI UFe2 β-‐U
Grow
th Con
stan
t, K(
ν) (m
2 /s)
• First kind (extrinsic) growth constant KI and second kind (intrinsic) growth constant KII were calculated according to Wagner [6] description. • KII is a characteristic constant value for a phase, and the values of KI may be affected by other phases existing in the diffusion zone. • The thick U6Fe impeded the growth of UFe2 because KI, UFe2 was smaller than KII, UFe2. However, UFe2 layer had a small influence on the growth of U6Fe, since UFe2 is very thin compared to U6Fe.
U U6Fe UFe2 Fe
[6] C. Wagner, Acta Metallurgica, 17 (1969) 99-107.
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Intrinsic and Extrinsic Growth Constant
First Kind of Diffusion couples (N-∞=0 ; N+∞=1) “Extrinsic”
1,0
2)()(
2)(
== ∞+∞−
⎥⎦
⎤⎢⎣
⎡ Δ=
ii NN
vvI t
xK
1,0
)()(
)(
)()(
)()()()()(,
)(
)(
)(
)(
)1(
)1(
2)1(~~
==
∞+
∞−
∞+∞−
+
−
+
−
⎥⎥⎥⎥⎥⎥
⎦
⎤
⎢⎢⎢⎢⎢⎢
⎣
⎡
−×+
×−
Δ+−×==
∫
∫∫
ii
v
v
vi
vi
NN
x
vi
m
vmv
i
x
i
m
vmv
iv
vI
vi
vi
N
N ivInt
i
dxNV
VN
dxNV
VN
t
xKNNdNDD
Integrated Interdiffusion Coefficient:
Second Kind of Diffusion couples (N-∞= N(v-1) ; N+∞= N(v+1)) “Intrinsic”
[ ] )1()1( ,)(
)1()1(
)()1()1()()(,
)())((~
+∞+−∞− ==+−−+
−++−
×−
−−= v
iivii NNNN
vIIv
ivi
vi
vi
vi
vivInt
i KNN
NNNND
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U-Zr vs. Fe: SEM
SEM of U10wt.%Zr vs. Fe at 650 C for 4 days.
• Layer-A including reaction layers adjacent to Fe. • Layer-B including layers with ε-phase and χ-phase. • Layer-C including layer with λ-phase.
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1.00E-17
1.00E-16
1.00E-15
1.00E-14
1.00E-13
1.00E-12
1.04 1.05 1.06 1.07 1.08 1.09 1.1 1.11 1.12
Gro
wth
con
stan
t (m
2 /s)
1000/T (K)
LayerA LayerB LayerC SUM
U-Zr vs. Fe: Growth Constant
Activation Energy Layer A : 393 kJ/mol Layer B : 363 kJ/mol Layer C : 224 kJ/mol Sum : 304 kJ/mol
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U vs. Mo: SEM and EPMA
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
-‐800 -‐700 -‐600 -‐500 -‐400 -‐300 -‐200 -‐100 0 100
Fitted
Measurement 1 EPMA
Measurement 2 EPMA
XK=-‐70
Distance to Matano Plane, x (µm)
Concen
tration of M
o, N
Mo(atom fractio
n)
SEM image and concentration profiles of U vs. Mo at 1273K for 24 hours.
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
-‐70 -‐60 -‐50 -‐40 -‐30 -‐20 -‐10 0 10 20
Fitted
Measurement 1 EPMA
Measurement 2 EPMA
XK=-‐26
Distance to Matano Plane, x (µm)
XK=-‐26
Concen
tration of M
o, N
Mo(atom fractio
n)
SEM image and concentration profiles of U vs. Mo at 973K for 360 hours.
• Phase Boundary • Marker Plane • U diffused faster than Mo
U XK MoXIXβγ
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U vs. Mo: Interdiffusion
Interdiffusion coefficients of U-Mo alloy.
1.0E-‐17
1.0E-‐16
1.0E-‐15
1.0E-‐14
1.0E-‐13
1.0E-‐12
0.7 0.8 0.9 1 1.1 1.2
Interdiffusion Co
efficient
(m2 /s)
1000/T (K)
0.12 at.frac. Mo
0.18 at.frac. Mo
0.24 at.frac. Mo
Temperature dependence of interdiffusion coefficients at NMo=0.12, 0.18, 0.24.
Composition dependence of activation energy of interdiffusion.
1E-‐17
1E-‐16
1E-‐15
1E-‐14
1E-‐13
1E-‐12
1E-‐11
0 0.05 0.1 0.15 0.2 0.25 0.3
Interdiffusion Co
efficient
(m2 /s)
1273K this study1173K this study1073K this study973K this study923K this study
NMo (atom fraction)