Heat Transfer Engineering  Thermodynamics 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 (T_{1}) are required as well . For each layer the layer
thickness (t_{i}) as well as the layer conductivity k_{i }must
be defined.
The temperature T_{n} is calculated as:
or
Where:
T_{n }= Temperature ^{o}C
T_{1} = Known surface temperature ^{o}C
q = Heat flow (positive heat flow is from T_{1} to T_{n})
t_{i} = Thickness of each layer i (M)
k_{i } = Thermal conductivity of layer i (W/m^{o}C)
HD = Surface area (H x D) the plate being considered M^{2}
End surfaces of the plate are assumed adiabatic.
Positive values of heat (q) result in T_{n} being
hotter than T_{1}. Negative values of heat (q) result in T_{n}
being cooler than T_{1}.
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