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surface integration of a derived temperature distribution

I have just started learning COMSOL and have a problem now.

I derived the surface temperature distribution of a sphere using COMSOL. After that, I calculated the net radiation force of the sphere, i.e. the surface integrations of Image may be NSFW.
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, where Image may be NSFW.
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is the temperature and Image may be NSFW.
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is the unit normal vector. However, the result of surface integrations given by COMSOL seems to be incorrect.

Then I did another test with a uniform surface temperature distribution. The result of surface integrations should be zero in theory due to the symmetry, but it is in fact not. I am confused now. Is there something wrong about the surface integration function in COMSOL?

I would appreciate it if someone offers some help.


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