Patent ID: 11858020
Assignee: SMS GROUP GMBH
Field: Machine tools (Mechanical engineering)
Classification: CPC B  C | IPC B

Claim 11:
12. The method according to claim 1, wherein within a framework of the temperature calculation model, a temperature distribution in the system and at the exit of the last roll stand of the multi-stand rolling mill is calculated by means of a Fourier heat equation:, ρ
     ⁢
     
      c
      p
     
     ⁢
     
      
       ∂
       T
      
      
       ∂
       t
      
     
    
    -
    
     
      ∂
      
       ∂
       s
      
     
     
      (
      
       λ
       ⁢
       
        
         ∂
         T
        
        
         ∂
         s
        
       
      
      )
     
    
   
   =
   Q
  
  ,, wherein
ρ=density,
cp=specific heat capacity at constant pressure,
T=calculated absolute temperature in Kelvin,
λ=thermal conductivity,
s=associated location coordinate,
t=time, and
Q=energy released in front of the multi-stand rolling mill or upstream of it during phase transition from liquid to solid of the system.