Lugano finned area radiated power correction
Having found the correct view factor between the fins, we can for the Lugano dummy run calculate what the effect is on the radiated thermal energy of the finned area of the dogbone.
The radiated energy for the finned area of the dogbone is proportional to :
-----Af x e x Fbg x { 1/(1 - (1-Fbg)(1-e))}
For the finned area we have found earlier that :
-----Af = 0.0263 m^2 (Area of the finned tube)
-----Fbg = .572 (View factor of the fins to the background)
For the emissivity of the dummy run we take the value of .69
The value of Af x e x Fbg x { 1/(1 - (1-Fbg)(1-e))} then becomes 0.011968
The lugano testers did not correct for the view factor and assumed that the radiated energy was proportional to :
-----At x e
The values are
-----At = .0125 (Area of the bare tube the Lugano testers used in their calculation)
-----e = .69 (at 450 degree C)
The value of At x e then becomes 0.008625
The ratio of both is 0.011968/0.008625 = 1.387594
Or for the dummy test the radiated power of the finned area of the dogbone is about 38 % higher then what the Lugano testers calculated.
Note however that the radiated power of the finned area of the dogbone is only a part of the total power budget and as a result the percentage power increase for the total device is substantial lower.