Heat Diffusion through Different Materials

​
time t
1
thermal conductivity k
1
melting point m
1
This Demonstration shows the relationship between the temperatures of materials with different thermal conductivity
k
at different distances along the length of the sample as a function of time when exposed to a source of heat (a small flame at 800 degrees Celsius). The
x
axis is the distance in meters. As distance increases, the temperature decreases, as it is further from the flame. The
y
axis is the temperature of the material at the specified distance on the
x
axis. The third slider is the melting point, which determines the distance from the flame at which the material melts, as shown by the horizontal line.

Details

Snapshot 1: material with a low melting point
m
and a low thermal conductivity
k
with a very short time; the material melts quickly and at a very low temperature
Snapshot 2: material with a higher
k
value and higher melting point, and it has been exposed to the heat for a longer period of time; the material will require a higher temperature to melt, but will melt much more of the material because of the extended exposure and still relatively low
k
value
Snapshot 3: material with a very high melting point and a high
k
value, and it has been exposed to the heat for a longer period of time; not as much of the material will melt, despite the longer exposure, and it requires a higher temperature to even get the material heated up farther from the source
This Demonstration was written in Making Math.

References

[1] D. Madrzykowski. "Fire Dynamics." (Nov 17, 2010) www.nist.gov/fire/fire_behavior.cfm.
[2] TutorVista. "Heat Transfer Formula." (May 28, 2014) formulas.tutorvista.com/physics/heat-transfer-formula.html.

External Links

Experiment on Heat Conduction
Heat Transfer in a Heat Exchanger

Permanent Citation

Kaitlin Lewallen, Minh Pham
​
​"Heat Diffusion through Different Materials"​
​http://demonstrations.wolfram.com/HeatDiffusionThroughDifferentMaterials/​
​Wolfram Demonstrations Project​
​Published: June 3, 2014