Transcript ТОМСКИЙ - tpu.ru

National Research Tomsk Polytechnic University –
Groupe des Ecoles Centrales
Videoconference Bridge
Tomsk – Paris – Lyon – Nantes – Marseille – Lille
20 May 2010
NR TPU - GEC videoconference bridge, 20 May 2010
Software for Solving
Dynamic Non-linear Thermal Problems
Speaker: Andrey Batranin
PhD student, Welding Manufacture Dept.
at Mechanical Engineering Dept.
Scientific supervisor: Raisa Krektuleva, Ass. Prof.
E-mail: [email protected]
www: svarka.tpu.ru
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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.
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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
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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
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NR TPU - GEC videoconference bridge, 20 May 2010
Mathematical Model
• Heat Transfer Equation
T
C (T )  (Т )
 div (T )  grad (T )  Q x, y, z, t 
t
• Boundary Conditions
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


IUk
r 

Q1 
exp  k   ,
2
  r0  
r0


 T 
T
  (T  T0 )   T 4  T04 ,
n


• Melting & Crystallization
Lk  Vk  k 1 
T
n
 k 
s 0
T
n
s 0
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NR TPU - GEC videoconference bridge, 20 May 2010
Calculation Algorithm
• Transformed Heat Transfer Equation
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2
2

T
   T   T   T  
C (T ) 
  (T )T 
         Q
t
T   x   y   z  


2
2
2
 2  2  2
x
y
z
• Finite Difference Method
k

(
T
i , j ,l ) t
k 1
k
Ti , j ,l  Ti , j ,l 

k
2
C (Ti , j ,l ) h

 Ti k1, j ,l  Ti k1, j ,l  Ti ,kj 1,l  Ti ,kj 1,l  Ti ,kj ,l 1  Ti ,kj ,l 1  6Ti ,kj ,l

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NR TPU - GEC videoconference bridge, 20 May 2010
Meza
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NR TPU - GEC videoconference bridge, 20 May 2010
Virtual Welder Workspace
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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
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NR TPU - GEC videoconference bridge, 20 May 2010
Thank you!
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