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{ 1D_SLAB.PDE

 

   This problem analyzes heat flow in a slab using 1D cartesian coordinates.

}  

 

TITLE 'Heat flow through an Insulating layer in 1D'  

COORDINATES  

 Cartesian1 { default coordinate is 'X' }  

VARIABLES  

 Phi       { the temperature }  

DEFINITIONS  

 K = 1     { default conductivity }  

 R = 0.5       { insulator thickness }  

EQUATIONS  

 Phi: Div(-k*grad(phi)) = 0  

 

BOUNDARIES  

REGION 1     { the total domain }  

  START(-1)   POINT VALUE(Phi)=0    

  LINE TO (1) POINT VALUE(Phi)=1    

  { note: no 'close'! }  

REGION 2 'blob' { the embedded layer }  

   k = 0.001  

  START (-R) LINE TO (R)  

PLOTS  

ELEVATION(Phi) FROM (-1) to (1)  

END