InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of...
Transcript of InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of...
![Page 1: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/1.jpg)
Universität Siegen Institut für Werkstofftechnik
InCorr for Windows
Modeling of Corrosion Phenomena
Ravisankar Naraparaju M.Sc
Head of the Institute: Prof. Dr.-Ing. H.-J. Christ
![Page 2: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/2.jpg)
What is InCorr?
• InCorr - a computer-based program for simulation of
high-temperature corrosion phenomena
• Use of numerical diffusion calculation in combination
with thermodynamic equilibrium concepts
• The application InCorr is parallelized along its
functions (function-master, function-slave and
function-matlab)
Universität SiegenInstitut für Werkstofftechnik
![Page 3: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/3.jpg)
Universität SiegenInstitut für Werkstofftechnik
Physical Modeling
and
Computer-Based Simulation
![Page 4: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/4.jpg)
Universität SiegenInstitut für Werkstofftechnik
Physical Modeling
homogeneous internal attack
Ni-20Cr-2Ti
TiN
intergranular corrosion attack
M23C6
austenitic steel
![Page 5: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/5.jpg)
Universität SiegenInstitut für Werkstofftechnik
Physical Modeling
outer scale and internal attack
Inconel 625 Si
inward-growing scale
Al2O3
Cr2O3
SiO2
low-Cr steel
Fe3O4
+ FeCr2O4
![Page 6: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/6.jpg)
Universität SiegenInstitut für Werkstofftechnik
0
B
OO2
c
tDcs
ν=ξ
C. Wagners Theory of Internal Oxidation
Internal nitridation and oxidation
Ni20Cr2Ti
TiN
(100h, 1100°C, N2 atmosphere)
100µm
- one kind of precipitate
- very stable precipitate(((( ))))
====γerf
tD
xerfc
ctxcSONs
SONSON
,,)(
,,,, ,2
![Page 7: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/7.jpg)
Universität SiegenInstitut für Werkstofftechnik
Calculation using Solubility Product
cX log (cX)
cMe0
crit.
log
(c M
e)
µν][][ XMeSPMeX ====
2
2
x
cD
t
c
∂∂∂∂
∂∂∂∂====
∂∂∂∂
∂∂∂∂
2
2
1x
cD
c
SP
t
c XX
X
X
∂
∂=
+
∂
∂νµ
ν
µνµν XMeXMe ====++++
solve numerically
µν XMe
623CMe
37CMe
TiN, AlN, Cr2O3, Al2O3, SiO2
![Page 8: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/8.jpg)
Universität SiegenInstitut für Werkstofftechnik
More realistic systems
Description of
corrosion kinetics
Computer
Thermodynamics Diffusion
Life-cycle of power plant materials
ChemApp and
data-bank
Diffusion in different
phases (corrosion product
and substrate) differentiation
of diffusion along alloy
grain boundary and volume
moving boundary
conditions
![Page 9: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/9.jpg)
Institut für Werkstofftechnik
Modeling
Universität Siegen
MATLAB
ChemApp
InCor
r
solid state diffusion
representation
G = Minimum
local thermodynamic
equilibrium
![Page 10: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/10.jpg)
Universität SiegenInstitut für Werkstofftechnik
Mathematical Modeling
∂
∂
∂
∂=
∂
∂
x
cD
xt
c
2
2
x
cD
t
c
∂∂∂∂
∂∂∂∂====
∂∂∂∂
∂∂∂∂( )TfD =
2
2
2
2
y
cD
x
cD
t
cyx
∂∂∂∂
∂∂∂∂++++
∂∂∂∂
∂∂∂∂====
∂∂∂∂
∂∂∂∂
One-Dimensional
Two-Dimentional
t
cc
t
c jiji
∆
,, −−−−≈≈≈≈
∂∂∂∂
∂∂∂∂ ++++1
2
11
2
2 2
)(
,,,
x
ccc
x
c jijiji
∆
−−−−++++ ++++−−−−≈≈≈≈
∂∂∂∂
∂∂∂∂
jijijiji rccrrcc ,,,, )( 111 21 ++++−−−−++++ ++++−−−−++++====
2)( x
tDr
∆
∆====
One-Dimensional Problem – explicit finite-difference method
jjj bAcc ++++====++++1
−−−−
−−−−
−−−−
−−−−
−−−−
====
rr
r
r
rrr
rrr
rrr
rr
2100000
0000
02100
00210
00021
000021
......
....
...
...
...
...
A
====
0
0
0
.
.
.b
s
j
rc
2
1≤≤≤≤r
![Page 11: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/11.jpg)
Universität SiegenInstitut für Werkstofftechnik
One-Dimensional problem – implicit finite-difference method
2
2
x
cD
t
c
∂∂∂∂
∂∂∂∂====
∂∂∂∂
∂∂∂∂ t
cc
t
c jiji
∆
,, −−−−≈≈≈≈
∂∂∂∂
∂∂∂∂ ++++1
)()(
,,,,,, 111111122
2
222
1++++++++++++++++++++−−−−++++ ++++−−−−++++++++−−−−≈≈≈≈
∂∂∂∂
∂∂∂∂jijijijijiji cccccc
xx
c
∆
jjj b)NI(c)NI()NI(c 11
1 222 −−−−−−−−++++ ++++++++−−−−++++====
xMN r====
−−−−
−−−−
−−−−
−−−−−−−−
−−−−−−−−
−−−−−−−−
−−−−
====
2100000
1
01000
012100
001210
000121
000012
......
....
...
...
...
...
M x
![Page 12: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/12.jpg)
Universität SiegenInstitut für Werkstofftechnik
Two-Dimensional Problem – implicit finite-difference method
2
2
2
2
y
cD
x
cD
t
cyx
∂∂∂∂
∂∂∂∂++++
∂∂∂∂
∂∂∂∂====
∂∂∂∂
∂∂∂∂
(((( ))))2x
tDr x
x
∆
∆====
(((( ))))2
y
tDr
y
y
∆
∆====
(((( )))) (((( )))) (((( ))))(((( )))) (((( )))) )( ,,,,,
,,,,,
j
iyix
j
iyixx
j
iyixyx
j
iyix
j
iyixy
j
iyix
j
iyixy
j
iyixyx
j
iyix
j
iyixx
ccrcrrccr
ccrcrrccr
1111
1
1
1
1
11
1
1
1
12
12
++++−−−−++++−−−−
++++−−−−
++++++++
++++++++−−−−
++++++++
++++⋅⋅⋅⋅−−−−⋅⋅⋅⋅−−−−−−−−⋅⋅⋅⋅−−−−++++⋅⋅⋅⋅−−−−
====++++⋅⋅⋅⋅++++⋅⋅⋅⋅++++++++⋅⋅⋅⋅−−−−++++⋅⋅⋅⋅
(((( ))))
(((( ))))
(((( ))))
(((( )))))],,(),,(),,([
),(
),(
)],,(),,(),,([),(
),(
)],,(),,(),,([),(
),(
)],,(),,(),,([),(
),(),,(),,(
ttyyxcttyxcttyyxcyxy
yxD
tyyxctyxctyyxcyxy
yxD
ttyxxcttyxcttyxxcyxx
yxD
tyxxctyxctyxxcyxx
yxD
t
tyxcttyxc
y
y
x
x
∆∆∆∆∆∆
∆∆∆
∆∆∆∆∆∆
∆∆∆∆
∆
++++++++++++++++−−−−++++−−−−++++
++++++++−−−−−−−−++++
++++++++++++++++−−−−++++−−−−++++
++++++++−−−−−−−−====−−−−++++
22
22
22
22
2
2
2
2
![Page 13: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/13.jpg)
Universität SiegenInstitut für Werkstofftechnik
Diffusion
Thermodynamics
![Page 14: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/14.jpg)
Universität SiegenInstitut für Werkstofftechnik
![Page 15: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/15.jpg)
Universität SiegenInstitut für Werkstofftechnik
outerscale (Fe O )3 4
intercrystallineoxidation (Cr O )2 3
inner
scale (Fe O , FeCr O )3 4 2 4
p(O )2
p(O )2
p(O )2
FeCr O2 4
Cr O2 3
Fe O3 4
5 µmDGB
Dx
Deff
Dymovinginterface
Computer Simulation of Oxidation Processes
InCorr
![Page 16: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/16.jpg)
Universität SiegenInstitut für Werkstofftechnik
Dx
when (x,y) is considered in bulk
when(x,y) is considered at grain boundary
when (x,y) is considered in oxide scale
====
.eff
KG
K
D
D
D
D
(((( ))))22
diag),(
),(DR x
xyxx
yx
∆====
(((( ))))22
diag),(
),(DR
y
yxy
yxy
∆====
Intercrystalline Oxidation
![Page 17: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/17.jpg)
Universität SiegenInstitut für Werkstofftechnik
![Page 18: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/18.jpg)
Universität SiegenInstitut für Werkstofftechnik
grain boundary
![Page 19: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/19.jpg)
Universität SiegenInstitut für Werkstofftechnik
![Page 20: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/20.jpg)
Universität SiegenInstitut für Werkstofftechnik
cFeCr2O4 =2At.%
Grain
boundaries
Duration = 270 hrs
T = 550oC
d = 30 µm
Lab air
![Page 21: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/21.jpg)
Universität SiegenInstitut für Werkstofftechnik
0 10 20 30 40 50 60 70 800
5
10
15
20
25
experimentell
simuliert (d=10µm)
simuliert (d=30µm)
simuliert (d=100µm)
inner
e O
xid
schic
htd
icke
[µm
]
Zeit [h]0 10 20 30 40 50 60 70 80
0
4
8
12
16
20
24
28
experimentell
71518 (0,55Gew.% Cr, d=6µm)
2,25Cr1Mo (2,25Gew.% Cr, d=4µm)
inner
e O
xid
schic
htd
icke
[µm
]
Zeit [h]
Comparison of simulated and experimentally observed inner oxide
thickness
![Page 22: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/22.jpg)
Universität SiegenInstitut für Werkstofftechnik
surfaceGrain
boundary
x [µm]
y [µm]
Simulation of Cr-enrichment along grain boundaries of substrate on a fine austenitic stainless steel TP347 (d = 5 µ m) at T = 750oC
![Page 23: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/23.jpg)
Universität SiegenInstitut für Werkstofftechnik
Planar reactions front
Classical case
![Page 24: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/24.jpg)
Universität SiegenInstitut für Werkstofftechnik
Al2O3
[At.%]
Al
[At.%]
y [µm]
y [µm]
x [µm]
x [µm]
Korngrenzen
![Page 25: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/25.jpg)
Universität SiegenInstitut für Werkstofftechnik
Carburization of Austenitic Steels
M7C3
M23C6
![Page 26: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/26.jpg)
Universität SiegenInstitut für Werkstofftechnik
HP steel, pyrolyse furnace
EBSD-Characterization
M7C3
M23C6
![Page 27: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/27.jpg)
Universität SiegenInstitut für Werkstofftechnik
![Page 28: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/28.jpg)
Universität SiegenInstitut für Werkstofftechnik
Calculation with InCorrtime = 100h
T = 1000oC
Penetration depth [µm]
![Page 29: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/29.jpg)
Universität SiegenInstitut für Werkstofftechnik
Calculation with InCorr
Penetration depth [µm]
time = 100h
T = 1000oC
![Page 30: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/30.jpg)
Universität SiegenInstitut für Werkstofftechnik
Themodynamics + Kinetics (InCorr)
grain boundary
grain boundary
![Page 31: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/31.jpg)
Universität SiegenInstitut für Werkstofftechnik
Calculation with InCorr
Penetration depth [µm]
time = 10h
T = 800oC
![Page 32: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/32.jpg)
Universität SiegenInstitut für Werkstofftechnik
Calculation with InCorrtime = 10h
T = 800oC
Penetration depth [µm]
![Page 33: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/33.jpg)
Universität SiegenInstitut für Werkstofftechnik
Inner layer growth
(((( )))) (((( ))))[[[[ ]]]]422432
2
O)FeCr(OlnO)Fe(Oln pptDeff
−−−−====
ξ
![Page 34: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/34.jpg)
Universität SiegenInstitut für Werkstofftechnik
FeCr2O4
Fe3O4
y [m·10-5]
y [m·10-5]x [m·10-5]
x [m·10-5]
initial inner scale-substrate interface
InCorr
![Page 35: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/35.jpg)
Recent work and future aspects
• Converting from Linux to Windows environment.
• Matlab, ChemApp can work in windows
• Now PVM is also available in windows
• Addition of outward scale growth
• Simulating the effect of shotpeening effect in InCorr
• Effect of water vapour on oxidation
Universität SiegenInstitut für Werkstofftechnik
![Page 36: InCorr for Windows Modeling of Corrosion Phenomena Ravisankar Naraparaju M€¦ · Modeling of Corrosion Phenomena Ravisankar Naraparaju M.Sc Head of the Institute: Prof. Dr.-Ing.](https://reader035.fdocuments.in/reader035/viewer/2022070800/5f02516e7e708231d403ad08/html5/thumbnails/36.jpg)
Conclusions
Universität SiegenInstitut für Werkstofftechnik
The high performance of the developed software InCorr is sustained by a solid
theoretical background.
Now InCorr is available in Windows platform.So it is easy to carry Incorr with you.
oxidation and internal nitridation of steels carburization of steels
It can be calculated: concentration
profiles of C, Cr, Fe, etc.
mass gain as a function of time
The developed software InCorr is
capable to account for:
local thermodynamic equilibrium,
solid state diffusion and alloy
microstructure
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Universität SiegenInstitut für Werkstofftechnik
Moving Interface Condition and Diffusion Matrix
D11 D12 D13 D14 D15
Di,j =
x,i
y,j D21 D22 D23 D24 D25
D31 D32 D33 D34 D35
D41 D42 D43 D44 D45
D51 D52 D53 D54 D55
Di,j =
Dx = Dy if (i,j) is not a gb and cFe > 0
Dgb if (i,j) is a gb and cFe > 0
Doxide if in (i,j) cFe = 0
time = 100 h
dimension = 1 mm2
∆x = ∆y = 0.1 µm
nx = ny = 10 000
∆t = 1 s
nt = 360 000 Di,j =
this must be checked 360 000 times at every (i,j)
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Universität SiegenInstitut für Werkstofftechnik
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Universität SiegenInstitut für Werkstofftechnik