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Conference, Proceedings

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S s o<br />

2<br />

4 4<br />

λ ∇ T = wεσ<br />

( T − T ) − q<br />

(4)<br />

has been performed to analyze the heat losses influence. The following parameters were used:<br />

T0 = 25°C, TS = 50°C, λ = 30 W m -1 K -1 , q = 50 mW m ‐2 , and sheet dimension as width w = 20 mm,<br />

thickness of 1 mm (2x0.5 mm) and active length of 90 mm.<br />

The temperature distribution along the shield is shown in Fig. 2 for ε = 0.3, and 0.9. The<br />

temperature distribution for ε = 0 represents the ideal case, i.e. when equation (1) can be used.<br />

Differences for ε > 0 are significant. High nonlinearities can be found. The analysis yields the<br />

following conclusions: A specimen holder has to be constructed that heat losses through<br />

radiation should be suppressed to minimum. The temperature measurement along the<br />

specimen should be performed on several points to use the equation (1), i.e. to check the linear<br />

temperature distribution.<br />

Specimen preparation<br />

The specimen is composed of two sheets to place thermometers and the connecting wires<br />

among them. Such arrangement suppresses heat radiation from the temperature sensors.<br />

Metering heater is made of nickel foil that is isolated by Kapton foil. A schematic picture on<br />

thermistor fixing together with a photo of the specimen and the metering heater is shown in<br />

Fig. 3. The metering heater having 8 Ω is fixed at one end of the specimen by thin copper plates<br />

to homogenize the heat flow. Miniature thermistors having 47 Ω, type NTC 0402 SMD were<br />

used for temperature measurement. The accuracy of thermistors after calibration was ± 0.001°C.<br />

A varnish has been used for electrical isolation as well as for fixing the thermistors.<br />

Figure 3: Schematic picture of thermometers position together with the metering heater on the sheets of<br />

the specimen (left) and photo of assembled specimen (right)<br />

Specimen holder<br />

The linearity of the temperature distribution along the specimen is a key requirement of a<br />

successful experiment. A radiation shields has to be used along the specimen that copies the<br />

temperature distribution of the specimen. Then no heat exchange among the radiation shield<br />

and the specimen can be found. The heat losses are suppressed and the equation (1) can be used<br />

for calculation of the thermal conductivity.<br />

187

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