Investigation on the Convection Pattern of Liquid Steel in the Continuous Casting Tundish by Theoretical Analysis, Water Model Experiment and CFD Simulation.
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Investigation on the Convection Pattern of Liquid Steel in the Continuous Casting Tundish by Theoretical Analysis, Water Model Experiment and CFD Simulation
D. Y. Sheng Lage Jonsson
Process Metallurgy Department,MEFOS, S 97125, Lulea, Sweden
Tel: 0046-920-201934Fax: 0046-920-255832
Email: sheng@mefos.se
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Process Introduction
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Ladle with clean steel
40 ppm Otot
Slag
20-30 ppm
Stirring
Shroud Stopper (Ar-bubbling)
10-20 ppm
Nozzle
Mould Slag+casting powder
Slag+cover powder
Tundish
Blow-Holes
(Ar+Al 2O3)
BOF
EAFBF Function of Tundish:Tradition:1, Steel distribution vessel
Modern: 2, Inclusion removal3, Alloy trimming4, Superheat control5, Homogenisation
Tundish Metallurgy
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Problem Arisement Two different opinions:The steel flow in tundish is:1, Forced Convection System?OR2, Mixed Convection System?
Thermal conditions:
1, Heat loss 2, External heating and cooling3, Variation of inlet temperature
Objective
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CFD Causes to This Study !Two different flow pattern are on my screen
Is this true ?
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Theoretical Consideration
F
F
gl
u l
Grbouyancy
inertia
~( )* ( / )
( )* ( / )~Re
3 2
2 2 2 2
( / Re )( / )
( / ).Gr
gl T
ul
g T l
uTs
s
s
s s s
ss
23 2
2 2 474
( / Re )( / )
( / ).Gr
gl T
ul
g T l
uTw
w
w
w w w
ww
23 2
2 2 4 00
Dimensional Anaysis:
Tundish
Water Model
(1) Even one degree temperature difference in the tundish, buoyancy can not be ingored.(2) Water model can be used to simulate the convection pattern due to similar of this dimensionless number.
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Water Model Experiment
1
2
4
5
6 7
893
10
11
Interface
Microcomputer
ladle(1)
tundish(2)
thermocouple
camera
outlet(3)
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Experimental measurements
0 50 100 150 200 250 300 35010
15
20
25
30
35
Time, (s)
Te
mp
era
ture
, (¡æ
)
7
8
0 50 100 150 200 250 300 35010
15
20
25
30
35
Time, (s)
Te
mp
era
ture
, (¡æ
)
9
10
0 50 100 150 200 250 300 35010
15
20
25
30
35
Time, (s)
1
2
3
4
5
6
Te
mp
era
ture
, (¡æ
)
0 50 100 150 200 250 300 35010
15
20
25
30
35T
em
pe
ratu
re, (
¡æ)
dc
ba Time, (s)
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CFD Simulation
1. 3-D Navier-Stokes equations.
2. Standard k- two equations model
3. Free surface is kept at a fixed level.
4. Fluid flow and temperature are coupled
Modeling description
PHOENICS 3.1, Sun Enterprise 4000, 6 CPU 350 MHz
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Hotter Incoming (1)
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Cooler Incoming (1)
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Schematic of flow pattern
a, equal temperature inlet
b, hotter inlet
c, cooler inlet
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Verification (1)
0 30 60 90 120 150 180 210 240 270 300 330282
284
286
288
290
292
294
296
298
300
302
CFD model
Physical model
Tem
per
atu
re, (
K)
Time, (s)0 30 60 90 120 150 180 210 240 270 300 330
282
284
286
288
290
292
294
296
298
300
302
CFD model
Physical model
Tem
per
atu
re, (
K)
Time, (s)
0 30 60 90 120 150 180 210 240 270 300 330282
284
286
288
290
292
294
296
298
300
302
CFD model
Physical model
Tem
per
atu
re, (
K)
Time, (s)0 30 60 90 120 150 180 210 240 270 300 330
282
284
286
288
290
292
294
296
298
300
302
CFD model
Physical model
Tem
per
atu
re, (
K)
Time, (s)
No.6 No.10
No.9 No.4
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Verification (2)
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Hotter Incoming (2)
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Cooler Incoming (2)
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Future work
(1) Turbulence model of the transition region(2) Use the CFD model for real tundish simulation (3) Considersing the heat loss surrounding and additional heat source (4) Time dependent inlet temperature variation will be considered.
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Conclusion
(1) Dimensionless number Gr/Re 2 can be used to set up thermal similarity between water model and actual tundish(2) Thermal buoyancy driven flow is obvious in the non-isothermal water model (3) CFD simulation keeps good agreement with mesurement(4) The tundish is a mixed convection system
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