Multi-layered wall
The goal of this virtual lab is to
illustrate the computation of the steady-state heat conduction in a
three-layered wall. The steady-state heat conduction is assumed to be
one-dimensional.
The wall is composed of three layers of
different materials and thickness LA, L
B an LC . The temperature
of the inner surface of the wall is T1 and
the outside temperature T4 (see figure 1).
The heat flow per unit area (qx )and the
temperature at the interfaces of the diferent layers (T 2,
T3 ) are calculated.
Thermal conductivities of
the layer's materials (kA , kB
, kC ) are assumed to be independent of
others model variables. The thickness of the layer that compose the
walls are model parameters. The wall surface (S) is
assumed to be constant. The S parameter is not used in the
model equations, because qx doesn't depend on
this parameter.
The mathematical model is described by the following equations:
T1 - T2 = (La/ka) * qx
T2 - T3 = (Lb/kb) * qx
T3 - T4 = (Lc/kc) * qx