7.6
HEAT CONDUCTION IN A THREELAYERED WALL 
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System description  
The onedimensional, steadystate heat flow through a threelayered wall is modeled. The schematic representation of the system and the model (i.e., the series thermal resistors) are shown in Fig. 7.30.  
Fig.
7.30: Schematic representation and model of the system. 

The mathematical model is composed of the following equations:  
Introduction  
The virtuallab introduction is shown in Fig. 7.31.  
Fig.
7.31: Introduction panel. 

Model  
The inner () and outer () temperatures are known variables (i.e., the boundary conditions). The model equations, sorted and solved, are the following:  
As the model mimics the steadystate temperature profile for certain boundary conditions, it is static (i.e., time does not play a role in it). Therefore, the model equations are included in the Constraints panel.  
View  
A part of the tree of elements is shown in Fig. 7.32. Open the virtuallab and look at the properties of the tree elements.  
Fig.
7.32: Tree of elements. 

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