by abbasranjbar
Tags: black body, equilibrium, heat transfer, temperature, thermodynamics
 P: 4 Hello everyone, As you all know, the temperature of a metal increases under electromagnetic radiation. The metal also has a black body radiation which decreases its temperature. There is an equilibrium temperature which is the maximum temperature of the metal under the radiation. I am looking for formulas or publication that gives me this final temperature. Thanks
 Sci Advisor P: 5,307 Hm, it seems you want to calculate the net energy flow with $$dE_- = -p(T)\,dt = -\sigma\,A\,T^4\,dt$$ where p(T) is the integrated density from Stefan-Boltzmann, and from an external radiation source with $$dE_+ = p_0\,dt$$ Then you are looking for $$dE_- + dE_+ = 0$$ Correct?
 P: 4 Yes, actually the equilibrium T of the material because of this net energy.
P: 5,307

$$dE_+ + dE_- = 0$$
$$p_0\,dt - \sigma\,A\,T^4\,dt = 0$$
$$p_0 = \sigma\,A\,T^4$$