I've a bare Kanthal A-1 wire, And I want to Estimate it's temperature, basically to make a °C vs W plot.
In this post
Thermal resistance is used to do it as:
Thermal_resistance = 200°C/W.
power_dissipation = 400 mW
T = 400 mW*200°C/W
T = 80°C
According to wikipedia
Thermal resistance = L/(kA), measured in K·W\$^{-1}\$ (equivalent to: °C/W)
But I can't find this parameter in the wire specifications
But they do show a Thermal Conductivity table:
+----------------+-----------+
| Temperature °C | W m-1 K-1 |
+----------------+-----------+
| 50 | 11 |
+----------------+-----------+
| 600 | 20 |
+----------------+-----------+
| 800 | 22 |
+----------------+-----------+
| 1000 | 26 |
+----------------+-----------+
If I've a wire with:
l = 40cm
d = 0.3mm
P = 50W
How can I use the provided data to find the temperature?
Edit:
I made the measurements but the experimental results are quite off from the theoretical values, at least regarding to temperature. I somehow expect it because of the effect of the thermocouple touching the wire during the measurement is quite evident
Resistance was calculated by measuring current and voltage, and temperature was measured with a K-type thermocouple.
