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Radiation to a small object from surroundings

  1. Sep 20, 2015 #1
    In the energy balance of a system where a small object at T1 enclosed in a body at T2 given by the Stefan-Boltzmann equation

    q = A1ε1σT14 - A1α12σT24

    shouldn't it be a differential equation since the small body could be absorbing/releasing sufficient net energy from the enclosing body that will change its temperature, thereby changing its rate of heat transfer through radiation? I guess the same could also be said for the enclosing body.
     
  2. jcsd
  3. Sep 21, 2015 #2

    Drakkith

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    Staff: Mentor

    I assume that the equation is used strictly to find the energy balance at a single time, not to find the energy balance over timescales long enough where the temperature of either object could change.
     
  4. Sep 21, 2015 #3
    I thought so too, but I had to check. I imagined there to be a differential form of this. But anyway, thanks for the response!
     
  5. Sep 21, 2015 #4

    Drakkith

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    Staff: Mentor

    There may be. I'm not certain to be honest.
     
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