Page 69 - Process Modelling and Simulation With Finite Element Methods

56 Process Modelling and Simulation with Finite Element Methods

processes of heat transfer may destroy the analytic structure. In this section, we
will consider the typical one-dimensional heat transfer problem in a slab of non-
uniform conductivity and a distributed source that is differentially heated on the
ends:
:[ 21
-- k- =f(x) (1.29)

T Ixe0 = 1 T IXzl = 0
Launch FEMLAB and enter the Model Navigator:

Model Navigator
Select I-D dimension
Select Physics modes - Heat transfer+Linear stationary
0
Element: Lagrange - linear
More>>
0 OK
This application mode gives us one dependent variable u, but in a 1-D space
with coordinate x. Now we are in a position to set up our domain. Pull down the
Draw menu and select Specify Geometry.

Draw Mode
0 Name: interval
Start: 0
0
stop: 1

Now for the boundary conditions. Pull down the Boundary menu and select
Boundary Settings.

Boundary Mode
Select domain 1
SetT=l
Select domain 2

0 SetT=O

Now pull down the Subdomain menu and select Subdomain mode. Select
Subdomain settings.