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The following equation will calculate the temperature on one
side of an isothermal constant temperature multilayered plate or wall. The heat
load (q) conducted through the layers as well as the temperature on one side of
the plate (T1) are required as well . For each layer the layer
thickness (ti) as well as the layer conductivity ki must
be defined.
The temperature Tn is calculated as:
or
Where:
Tn = Temperature oC
T1 = Known surface temperature oC
q = Heat flow (positive heat flow is from T1 to Tn)
ti = Thickness of each layer i (M)
ki = Thermal conductivity of layer i (W/m-oC)
HD = Surface area (H x D) the plate being considered M2
End surfaces of the plate are assumed adiabatic.
Positive values of heat (q) result in Tn being
hotter than T1. Negative values of heat (q) result in Tn
being cooler than T1.
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