numerical modeling in copper billet casting
TRANSCRIPT
NUMERICAL MODELING IN
COPPER BILLET CASTING
Ioannis Contopoulos, ELKEME
Numerical Modeling Department
1
ELKEME
• The R&D Center of VIOHALCO
• Founded 1999
• Industrial research, technological
development and analysis of
– Aluminum
– Copper
– Steel
– Zinc
Lab/Section Name 2
ELKEME
• Applied technology research towards
– Quality Improvement of existing products
– Development of new, innovative, high added
value products
– Optimization of Industrial Processes
• Energy and cost efficiency
• Health and safety
• Environment and sustainable growth
Numerical Modeling Department 3
ELKEME
• State of the art laboratories
• Highly capable scientists, engineers,
technicians
• Continuous professional development
• Collaborations with External Laboratories
• Research projects in Metallurgy, Material
Sciences and Environmental Engineering
• Build knowledge and competence network
Numerical Modeling Department 4
ELKEME
• Long term relationships with academic and research
institutes (National Tech. Univ. of Athens, Universities of
Patras, Ioannina, Delft, Ghent, Manchester)
• Supervision of Diploma/Master’s/PhD theses
• Student training programs
• Seminars
• International collaborations
• Participation in international scientific/engineering
associations
• Contributions to scientific journals and conferences
(ICEFA, ICAA, ICEAF, Thermec, TMS, etc.)
Numerical Modeling Department 5
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220
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7(mm)
ΗV1.0
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Numerical Modeling Department 10
Process Metallurgy
Physical Metallurgy &
Forming
Corrosion
Environmental
Metallography & Electron Optics
Mechanical Testing &
Manufacturing Technology
Numerical Modeling
Surface Science & Coatings
Analytical Chemistry
ELKEME Numerical Modeling
13 Numerical Modeling Department
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ELKEME Numerical Modeling
• Software:
– ANSYS Workbench
• Design Modeler
• Meshing
• Fluent (FV)
• Mechanical Enterprise (FE)
– Design Explorer
– AQWA
• 2 HPC
• Maxwell 2D
Numerical Modeling Department
Numerical Modeling Department 15
NUMERICAL MODELING IN
COPPER BILLET CASTING
Ioannis Contopoulos, ELKEME
Numerical Modeling Department
17
Numerical Modeling
• Deeper understanding of process
• Virtual variation of operation parameters
• Assists in
– Identifying critical process parameters
– Optimizing production process
– Improve productivity
Numerical Modeling Department 19
Numerical setup
• ANSYS Fluent 12.0/16.2, solidification model
• Double precision, axisymmetric, 1mm mesh resolution
• Geometry: mold, distributor, air gap, water curtain
• Insulated top (graphite flux)
• DHP Copper physical properties (thermal properties, solidification properties: latent heat, liquid fraction, porosity) – No thermal shrinking
– No micro/macro solute segregation
• Casting speeds: A→1.15A→1.20A→…
• Various cooling setups
Numerical Modeling Department 20
Numerical problems
• The simulation of casting is a very difficult numerical problem. The fast transition from the liquidus to the solidus temperature (energy release-latent heat, viscosity transition from liquid to solid) makes the equations very “stiff”: small changes lead to instabilities and to the destruction of the solidification front
• It is very difficult to find a convergent solution
• Unless one finds a convergent solution, one must not trust the small details of the final result
Numerical Modeling Department 21
Numerical problems
• We tried many different numerical
approaches
• We were able to obtain convergent
solutions that we can trust!
Numerical Modeling Department 22
Numerical grids
Numerical Modeling Department
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air gap
distributor
water curtain mould: ΔΤwater=+1 oC
air gap
distributor
water curtain mould: ΔΤwater=+1 oC
air gap mould
distributor
water curtain
3D phi-periodic (8 inlets)
Numerical Modeling Department
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3D asymmetric installation
Hotter side
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3-D periodic simulation: Corellation between casting speed and
liquid pool depth
490
500
510
520
530
540
550
560
125 130 135 140 145 150 155Casting Speed (mm/min)
Liq
uid
Po
ol
Dep
th (
mm
) 91kW
136kW
181kW
Linear (91kW)
Linear (136kW)
Linear (181kW)
Numerical Modeling Department
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Low Medium
Casting Speed
High
3-D periodic Simulation: Correlation between casting speed and
primary cooling zone width
0
5
10
15
20
25
30
35
40
45
125 130 135 140 145 150 155
Casting Speed (mm/min)
Pri
mary
co
oli
ng
zo
ne w
idth
(m
m)
91kW
136kW
181kW
Linear (91kW)
Linear (136kW)
Linear (181kW)
Numerical Modeling Department
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Low Medium
Casting Speed
High
Solidification rates
Numerical Modeling Department
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Primary Conclusions
• The original setup had limitations that did
not allow the increase of productivity
• Setup asymmetries
Fix
Numerical Modeling Department 32
Revisited problem 2015
• Basic factors related with productivity:
– Depth/Geometry of molten metal in mould
Modifications
Speed increase 15-20% !
Need to go even faster!
• Setup asymmetries
Fixed !
Numerical Modeling Department 33
Preliminary results 2015
• The shape of the solidification front
consists of 3 parts:
1. The growing solidification front in the mold
2. An almost cylindrical front in the air gap
region below the mold
3. A V-shaped final solidification front in the
water curtain region
Numerical Modeling Department 34
220mm air gap
155mm/min
Water cooled
mold
Air gap
Water curtain
Third part
Second part
First part Setup A
220mm air gap
165mm/min
Water cooled
mold
Air gap
Water curtain
Third part
Second part
First part Setup B
270mm air gap
165mm/min
Water cooled
mold
Air gap
Water curtain
Third part
Second part
First part Setup C
220mm air gap
165mm/min Semi-solidified
zone
Meta
losta
tic
pre
ssu
re
Zone of
slow solidification rate
Setup B
Zone of
slow solidification rate
Metalostatic pressure
required to fill
solidification shrinkage
porosity
220mm air gap
165mm/min
Re-heated zone
prone to remelting
of eutectics
Setup B
220mm air gap
165mm/min
Mold exit temperature
around 850-900oC
non uniform
air gap temperature
Setup B
Conclusions
• The shape of the central solidification front
depends only on the casting speed
• The improvement IS NOT due to changes in
the shape of the front at the center
• Increased metalostatic pressure compensates
for solidification shrinkage porosity
• Thermo-mechanical investigation of cooling
beyond solidification
Numerical Modeling Department 44
Conclusions
• Increasing the height of the air gap leads
to secondary problems due to very slow
solidification rates and/or remelting at
intermediate radii
• Future trials:
– Modified cooling
– Thermo-mechanical investigation with ANSYS
Mechanical
Numerical Modeling Department 45