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It is possible to def<strong>in</strong>ite the coefficient fa (fractal dimension D respectively) for every po<strong>in</strong>t <strong>of</strong><br />

the experimental dependence<br />

2ln(<br />

ΔTmax<br />

ΔT<br />

)<br />

f a = E − D =<br />

. (5)<br />

ln( t t ) + ( t t −1)<br />

t t<br />

specimen<br />

tm t m<br />

Figure 1 The pr<strong>in</strong>ciple <strong>of</strong> measurement <strong>of</strong> thermophysical parameters by the pulse transient<br />

method.<br />

max<br />

planar source thermocouple<br />

current current pulse pulseplanar<br />

source<br />

h<br />

thermocouple<br />

I I<br />

t t0 o<br />

I II III<br />

max<br />

T<br />

temperature response response<br />

EXPERIMENT AND RESULTS<br />

For measur<strong>in</strong>g <strong>of</strong> the responses to the pulse heat the Thermophysical Transient Tester 1.02<br />

was used. It was developed at the Institute <strong>of</strong> Physics, Slovak Academy <strong>of</strong> Science. The<br />

specimen <strong>of</strong> 30 mm <strong>in</strong> diameter and 6 mm thick was used for the pulse transient method. Its<br />

density is ρ = 1184 kg m –3 . Thermophysical properties <strong>of</strong> material were measured <strong>in</strong> air.<br />

1. Comparison between experimental and recommended data <strong>of</strong> the thermophysical<br />

parameters <strong>of</strong> PMMA measured at 25 °C<br />

The pulse width <strong>of</strong> 4 – 40 s, the heat power <strong>of</strong> 0.18 up to 3.03 W was used and adequate<br />

the pulse heat energy <strong>of</strong> 3000 – 42000 J m –2 was obta<strong>in</strong>ed. The typical heat energy <strong>of</strong> pulse<br />

was about 13000 J m –2 that is low enough to avoid temperature damage <strong>of</strong> this material. The<br />

temperature response ΔTmax <strong>in</strong> the range <strong>of</strong> 0.1 up to 1.4 °C was obta<strong>in</strong>ed. Analysis <strong>of</strong> these<br />

sets <strong>of</strong> data was carried out to f<strong>in</strong>d optimal experimental conditions.<br />

ΔT (°C)<br />

1.0<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0.0<br />

T m<br />

0 150 300 450 600 750<br />

t (s)<br />

15065 J m<br />

20197<br />

23753<br />

28706<br />

40081<br />

-2<br />

J m -2<br />

J m -2<br />

J m -2<br />

J m -2<br />

Figure 2 Temperature responses <strong>of</strong> PMMA measured by the PTM for different heat powers<br />

and various pulse widths; see Table 1.<br />

Sborník soutěže Studentské tvůrčí č<strong>in</strong>nosti Student 2006 a doktorské soutěže O cenu děkana 2005 a 2006<br />

Sekce DSP 2006, strana 234<br />

ΔTm

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