I'm working on calculating the conductivity of metal-coated insulating fibers and would appreciate some clarification on the correct approach. Specifically, when calculating the cross-sectional area of the metal coated insulating fiber for use in conductivity calculations, is it correct to use the fiber's thickness instead of the full diameter in the formula for the area, i.e., A=π(d/2)2 becuase conductivity is from metal coating not from insulating fiber? Or should I be using a different method to account for both the metal coating and the insulating core? Any insights or references would be greatly appreciated.
Wire perferi line needed to multiply with thickness of coating to have area, line cannot be considered as area……
Hello Anand Parkash ,
I am confused by your description of your system, the metal coated, insulating fiber. You appear to be trying to calculate the radial heat flux through this composite system, but I don't understand where your heat sink and heat source are located. For example, suppose you have a hot water pipe wrapped in cylindrical insulation. The heat source will be the hot water inside the pipe, and the heat sink will be the cool air surrounding the external surface of the cylindrical insulation. If you calculate the heat flux to the outside air, you will find a steady-state solution. You would, of course, have to take into consideration the thermal conductivities of both the pipe wall, and the surrounding insulating layer. In your situation, though, I do not understand the locations of the heat source and heat sink. Your description is missing the boundary conditions. Is the metal coating producing heat due to Joule heating as a result of an electrical current flowing axially through the metal coating?
Regards,
Tom Cuff
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