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.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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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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