I'm not sure what you mean by "thermal conductivity coefficient" .
Is it Thermal Conductivity (W/m.C) or something else?
Yes it is Thermal Conducitivity which for polycarbone, should be 0,19-0,22 W/(mK)
The file you attached must be corrupt and it didn't unzip so I'm not sure what your setup looks like.
I'm attaching it once again
I created the attached simple model. It's just a Heat Transfer analysis, no need for air and fluid flow.
Based on the results of the Wall Calculator providing us the Heat Flux, Q, we get, we can back calculate Thermal Conductivity based on your equation above.
When the plate is perforated, Q is scaled back based on the surface area.
As such, there would be no need to do any analysis and you can calculate the thermal conductivity based on the area.
Air has a greater thermal resistance than polycarbonate. By drilling holes, we increase the volume of air in the sample volume, we should increase the thermal resistance of the entire plate.
It seems to me that the sample with the holes only, not treated as areas filled with air, does not reflect the actual conditions, and the program will always measure the thermal resistance of the polycarbonate itself.
Summarizing, I would like to determine from the equation, Thermal Conductivity, a plate consisting of, for example, 90% polycarbonate and 10% air that is in the holes.