national research tomsk polytechnic university – groupe des ecoles centrales videoconference...
TRANSCRIPT
National Research Tomsk Polytechnic University – Groupe des Ecoles Centrales
National Research Tomsk Polytechnic University – Groupe des Ecoles Centrales
Videoconference Bridge
Tomsk – Paris – Lyon – Nantes – Marseille – Lille
20 May 2010
222
Speaker: Andrey BatraninPhD student, Welding Manufacture Dept.
at Mechanical Engineering Dept.
Scientific supervisor: Raisa Krektuleva, Ass. Prof.
E-mail: [email protected]
www: svarka.tpu.ru
NR TPU - GEC videoconference bridge, 20 May 2010
Software for SolvingDynamic Non-linear Thermal Problems
333
NR TPU - GEC videoconference bridge, 20 May 2010
Problem Outlines
Dynamic non-linear thermal problems are very important for such engineering sciences as:
• Welding• Cutting• Surface treatment, etc.
444
NR TPU - GEC videoconference bridge, 20 May 2010
Problem Outlines
To solve a real thermal problems we have to develop:
• mathematical model• calculation algorithm• software
555
NR TPU - GEC videoconference bridge, 20 May 2010
Problem Outlines
Using this software we can:
• improve engineer training• create a virtual research laboratory• develop new ways of fabrication process
automation
666
NR TPU - GEC videoconference bridge, 20 May 2010
tzyxQTgradTdivt
TТTC ,,,)()()()(
Mathematical Model
• Heat Transfer Equation
• Boundary Conditions
• Melting & Crystallization
,exp2
020
1
r
rk
r
kIUQ
,)( 40
40 TTTT
n
TT
001
s
ks
kkk n
T
n
TVL
777
NR TPU - GEC videoconference bridge, 20 May 2010
Calculation Algorithm
• Transformed Heat Transfer Equation
• Finite Difference Method
Qz
T
y
T
x
T
TTT
t
TTC
222
)()(
2
2
2
2
2
2
zyx
klji
klji
klji
klji
klji
klji
klji
klji
kljik
ljiklji
TTTTTTT
hTC
tTTT
,,1,,1,,,1,,1,,,1,,1
2,,
,,,,
1,,
6
)(
)(
888
NR TPU - GEC videoconference bridge, 20 May 2010
Meza
999
NR TPU - GEC videoconference bridge, 20 May 2010
Virtual Welder Workspace
101010
NR TPU - GEC videoconference bridge, 20 May 2010
Virtual Welder Workspace
The software gives us:
• Real Properties of a Matter
• Heterogeneity of a Matter
• Dynamic 3D Solution
• Multiphase Solution
• Complex Heating
111111
NR TPU - GEC videoconference bridge, 20 May 2010
Thank you!