<< Click to Display Table of Contents >> Navigation:  Sample Problems > Usage > 1D > 1d_slab

{ 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