22.39 Reactor Design , Operation, and Safety
Environmental Degradation Fundamentals
R. G. Ball i nger Professor
Massachusetts Institute of Technology
22.39 Reactor Design , Operation, and Safety
Outline
• Thermodynamics of Corrosion: Pourbaix Diagrams
• Corrosion Kinetics
Polarization Diagrams
Corrosion Rate and Corrosion Potential
Passivation
• Design Implications
22.39 Reactor Design , Operation, and Safety
Thermodynamics
22.39 Reactor Design , Operation, and Safety
V
e -
-
i
i
+
Oxidation
H Reduction
Cathode
Anode
Corrosion Cell Schematic
22.39 Reactor Design , Operation, and Safety
Standard Cell
V
e -
-
i
i
+
H 2
Oxidation
H Reduction
Pt
Standard Conditions
• 1 A t m
• p H = 0
• U nit Activity
• 2 5 C
Cathode
Anode
Standard Potential (E 0 ) E 0, H = 0
22.39 Reactor Design , Operation, and Safety
Table of Standard Potentials for various Electrode Reactions remov e d due to copy ri g h t rest rictions.
Data refe re nced to Latime r, W. Oxidation Potentials . Pre n ti ce-Hall , 1952.
22.39 Reactor Design , Operation, and Safety
Schematic of Corrosion Reactions
Metal (M)
M 2+
e -
e -
H +
H 2
H +
H +
H +
M
z
M H 2 O aq
z e
H +
M nH 2 O
M O n
2 n H
n e
H +
n
M H 2 O
z
M O
2 H 2 O
2 e
M aq
H 2 O
M O H
H +
2 H
2 e
H 2
2 H 2 O
2 e
H 2
2 O H
Figure b y MIT OC W .
O 2 H O
4 e
4 O H
2 2
22.39 Reactor Design , Operation, and Safety
Basic Relationships
lL m M
...
qQ
rR ...
G
( q G Q
r G R
..)
( l G L
m G m
..)
Anode ( O xida tion )
M M
ne
n e
• G = Free Energy (J/mol)
Cathode ( R e duc tion )
• n = # Equivalents Involved (# electrons)
M ne
n e M
2 H
2 e
H 2 ( g )
22.39 Reactor Design , Operation, and Safety
Key Relationships
G = -nFE
E E
RT ln
( A c tiv ity Pr oducts )
0 nF
( Ac tiv ity
Re ac ta n ts )
pH = -log [H + ]
• G = Free Energy (J/mol)
• n = # Equivalents Involved (# electrons)
• F = Faraday’s Constant (96,500 J/eq)
• E = Potential (V)
• E o = “Standard” Potential (V), Potential @ 25 C, Unit Activity, p H = 0
• R = Gas Constant (Appropriate Units)
• A ctivity = ~ Concentration (mol/l) for Dilute Solutions
(Activity Coefficient X Concentrati on for Concentrated Solutions
22.39 Reactor Design , Operation, and Safety
Pourbaix Diagram: Fe-H 2 O @ 25 C
Figur e remo ved du e to c opyrigh t r e s t ric t ion s .
22.39 Reactor Design , Operation, and Safety
Pourbaix Diagram: Cr-H 2 O @ 25 C
Figur e remo ved du e to c opyrigh t r e s t ric t ion s .
22.39 Reactor Design , Operation, and Safety
Pourbaix Diagram: Ni-H 2 O @25 C
Figur e remo ved du e to c opyrigh t r e s t ric t ion s .
22.39 Reactor Design , Operation, and Safety
Pourbaix Diagram: Ti-H 2 O @ 25 C
Figur e remo ved du e to c opyrigh t r e s t ric t ion s .
22.39 Reactor Design , Operation, and Safety
Passivation
Immunity
Co rrosion
Fe-Cr-Ni System @ 25 C
Passivation
Co rrosion
Immunity
Passivation
Immunity
Co rrosion
22.39 Reactor Design , Operation, and Safety
Combined Fe-Cr-Ni @ 25 C
Passivation?
22.39 Reactor Design , Operation, and Safety
Kinetics
22.39 Reactor Design , Operation, and Safety
Schematic “Evans” Diagram
Cathodic
Anodic
Anode
Cath ode
H
2
2 H
+
+ 2 e
-
(+)
2 H
+
+ 2 e
-
H
2
Potential, E (v) vs. SHE
E R, Cath.
M M
n +
+ n e
-
E Co rr
M
n +
(-)
E R, Anode
Current Densit y ( A/cm 2 )
i 0, Anode.
+ n e
-
M
i 0, Cath.
16
i Corrosion
22.39 Reactor Design , Operation, and Safety
Transpassive
Passive
i L
Active
Schematic of Passive Behavior (Anode)
(+)
Potential, E(v) vs. SHE
(-)
E Passive
M M
n +
+ n e
-
i Passive i Critica l
Current Density (log), (A/cm 2 )
22.39 Reactor Design , Operation, and Safety
(+)
Schematic of Anodic & Cathodic Interactions- Interplay
i o, Noble Cathode
Noble Cathode
Flow, T
Active C a thode
i l, C1
i l, C2
i l, C3
i l, C4
R e d u c t i o n R e a c t i o n
Potential, E(v) vs. SHE
E Corr, Passive
(-)
E Passive E Corr, Active
M M
n +
+ n e
-
i Passive i Critica l
Current Density (log), (A/cm 2 )
i L, Anode
22.39 Reactor Design , Operation, and Safety
Key Kinetics Relationships
lo g i
i 0
• = “Tafel” S lope
• i = Current density
• i o = Exchange Current Density (A/cm 2 )
RT ln i L
• R = Gas Constant (appropri a te units)
• n = # Equivalents (electrons) transferred
i L
D
nF i L i
DnF c
t
Q
D 0 e RT
• F = Faraday’s Constant (96,500 C/eq)
• = Overvoltage (V)
• D = Diffusion Coefficient (cm 2 /sec)
• D o = Constant
• Q = A c tivation Energy (Units consistent with R)
• T = Te mperature ( K)
• c = Concentration (M)
• = transference #
• t = Surface Layer (in solution) Thickness (cm)
22.39 Reactor Design , Operation, and Safety
Key Variables
• Temperature
15 C ~ 2X in Rates
• Concentrations
M, Hydrogen, Oxygen, Contaminants
• Flow Velocity
• Potential (Dominated by O 2 Concentration)
• Compositions (Microstructure)
• Stress
• Radiation Dose, Dose rate, Radiation Type
22.39 Reactor Design , Operation, and Safety
The Role of Electrochemical Processes in Environmental Degradation
22.39 Reactor Design , Operation, and Safety
OBSERVATIONS
• From an electrochemical point of view all structural materials are composites.
• Electrochemical differences can result in accelerated electrochemical reactions.
• If these reactions occur environmentally assisted attack may be promoted.
• In these situations both anodic and cathodic processes must be considered.
22.39 Reactor Design , Operation, and Safety
MASS TRANSFER
PASSIVATING CRACK FLANKS
REGION I CRACK TIP/METAL
INTERFACE
ANODIC OR CATHODIC PRECIPITATES
REGION II METAL
REGION III CRACK ENCLAVE
LOCAL DEPLETIONIN INTERFACE
REGION
DIFFUSION OF METAL OR IMPURITY
ATOMS TO GRAIN BOUNDARY
PRECIPITATE AT TIP/METAL INTERFACE
MASS TRANSFER
MAJOR ELEMENT DEPLETION
BARE SURFACE
GRAIN BOUNDARY
IMPURITY SEGREGATION
METAL DISSOLUTION HYDROGEN REDUCTION
PRECIPITATE/MATRIX
CELL
Model For EAC Process
22.39 Reactor Design , Operation, and Safety
IMPORTANT PHENOMENA IN REGION 1
• Creation of fresh metal by crack propagation.
• Galvanic coupling between matrix and precipitates.
• Metal dissolution and other anodic reactions.
• Hydrogen reduction or other cathodic reactions.
• Mass transfer to or from the crack enclave due to diffusion, convection or ion migration.
• Crack extension, by mechanical or chemical or electrochemical means.
• Hydrogen assisted crack growth.
22.39 Reactor Design , Operation, and Safety
IMPORTANT PHENOMENA IN REGION II
• Precipitation at grain boundaries.
• Minor/major element segregation.
• Near grain boundary element depletion or accumulation.
• Development of plastic zone due to crack propagation.
22.39 Reactor Design , Operation, and Safety
IMPORTANT PHENOMENA IN REGION III
• Mass transfer into and out of the crack by diffusion, convection and ion migration.
• Oxygen reduction on passive or active crack walls.
22.39 Reactor Design , Operation, and Safety
ENVIRONMENT ASSISTED CRACKING MECHANISMS
• Stress Corrosion Cracking
• Hydrogen Embrittlement
• Intergranular Attack
• Corrosion Fatigue
22.39 Reactor Design , Operation, and Safety
KEY VARIABLES
• Grain Boundary Morphology.
• Electrochemical Activity of the Grain Boundary.
• Fresh Metal Exposure Rate.
• Reaction Kinetics.
Film formation rate
Corrosion currents
• Galvanic Couples Between Grain Boundary Phases.
• Crack Tip pH.
• Crack Tip Potential in Relation to Reversible Hydrogen Potential
22.39 Reactor Design , Operation, and Safety
TYPICAL PHASES
Gamma Prime (Ni 3 (Al,Ti)) Gamma Double Prime (Ni 3 Nb) Eta ( Ni 3 Ti)
Laves (Fe 2 Ti...) MC Carbides M 7 C 3 Carbides M 23 C 6 Carbides MnS Inclusions Oxide Inclusions Delta (Ni 3 Nb)
22.39 Reactor Design , Operation, and Safety
IMPORTANT PHASE CHARACTERISTICS
• Is it anodic or cathodic with respect to other phases or matrix?
• Does it exhibit active or passive behavior?
• What are the kinetics of passivation?
• Corrosion current density?
• Exchange current density?
• Solubility of metal ions?
22.39 Reactor Design , Operation, and Safety
Design Implications
22.39 Reactor Design , Operation, and Safety
Materials Selection Considerations
• A pplicability
• Suitability
• F abricability
• A vailability
• Economics
• C ompromise
22.39 Reactor Design , Operation, and Safety
General Material Failure Modes
1. Overload
2. Creep Rupture
3. Fatigue
4. Brittle Fracture
5. Wastage
6. Environmentally Enhanced
22.39 Reactor Design , Operation, and Safety
Environmentally Enhanced Failure Modes
1. General Corrosion
2. Localized Corrosion Galvanic
Pitting
Crevice Corrosion
Stress Corrosion Cracking Hydrogen Embrittlement Corrosion Fatigue Intergranular Attack Erosion-Corrosion
Creep-Fatigue Interaction
22.39 Reactor Design , Operation, and Safety
Key Point
• Big Difference Between General & Localized Corrosion
General Corrosion
Predictable
Slow (Normally)
Localized Corrosion
“Unpredictable”
Potentially Very Rapid
Can be Multi-Phenomena (Pitting leading to Crack Initiation)
Significant Design Implications
22.39 Reactor Design , Operation, and Safety
How Do Things “Fail” ( Sometimes )
• Crack Initiation
Often Multiple Sites
(Pitting)
K f
( a , , g eomet r y )
Defects “Become” Cracks
Respond to Stress
da dn
da
C K n
Q 1 1
• Multiple Cracks Link
exp g K
K
dt R
T T
th
Up
re f
Higher Driving Force
(K) for “Linked System
• “Main” Crack Propagates to Failure
K K C
Unstable
22.39 Reactor Design , Operation, and Safety
Crack Length (a)
Unstable Crack Growth (Exceed K Crit) Unacceptable NDE Sensitivity |
|
“Adequate” NDE Sensitiv ity ?? |
|
Ideal ND E Sensitivity |
Crack “History”
a 0
Time
22.39 Reactor Design , Operation, and Safety
Indian Point R2C5 Crack
P h ot os remove d d u e to copyrig h t restricti o ns.
22.39 Reactor Design , Operation, and Safety
General Design “Rules”
1. Avoid Stress/ Stress Concentrations
2. Avoid Galvanic Couples
3. Avoid Sharp Bends of Velocity Changes in Piping Systems
4. Design Tanks for Complete Draining
5. To Weld or Not to Weld?
6. Design to Exclude Air
7. Avoid Heterogeneity
8. Design for Replacement