To find the thermal conductivity of a material, the following experimental setup can be prepared. Two long cylinders that are identical in terms of manufacturing are prepared. One of them is of a known thermal conductivity value kA while the other is for an unknown material kB. Both cylinders are attached to a heat sink of a fixed temperature Tb and they are exposed to a fluid (typically ultra-cooled for accuracy purposes). The temperature measurements are taken along some distance (x1) away from the base. If the first measurements reads 65 C for a distance (x1) of 12 mm while the second material reads 54 C for the same distance. What is the thermal conductivity of the second material (B). Knowns: material A is made of copper. k = 390 W/m.k. Tb = 130 C, Tinf = 12 C.
To find the thermal conductivity of a material, the following experimental setup can be prepared. Two long
cylinders that are identical in terms of manufacturing are prepared. One of them is of a known thermal
conductivity value kA while the other is for an unknown material kB. Both cylinders are attached to a heat
sink of a fixed temperature Tb and they are exposed to a fluid (typically ultra-cooled for accuracy purposes).
The temperature measurements are taken along some distance (x1) away from the base. If the first
measurements reads 65 C for a distance (x1) of 12 mm while the second material reads 54 C for the same
distance. What is the thermal conductivity of the second material (B).
Knowns: material A is made of copper. k = 390 W/m.k. Tb = 130 C, Tinf = 12 C.
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