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I Skin temperature increase due to radiation absorption

  1. Feb 9, 2017 #1
    Hello,

    I am trying to figure out how much the human skin temperature would increase when the skin is illuminated by radiation of a certain intensity (W/m^2). We can assume that the skin has an emissivity and absorptivity both equal to 1. For instance, imagine the skin illuminated by the sun (I= 1000W/m^2) or by another radiation source..
    We know the initial temperature of the skin and the intensity of the incident radiation.

    What equation would I use?

    Thanks!
     
  2. jcsd
  3. Feb 9, 2017 #2
    You have poked on the Intermediate Level.
    Are you familiar with the Stefan-Boltzmann law?
    Prad = σ T4
     
  4. Feb 9, 2017 #3

    OmCheeto

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    2016 Award

    Interesting question.
    I worked out a similar problem for a black rock about 6 months ago. Unfortunately, I can't remember how I did it, nor do I know whether or not my answer was correct.

    I would recommend looking at the wiki entry on "Black-body radiation", subsection "Human body emission".
    It may not give you the answer, but it has a couple of equations that will get you started:
    Pnet = Pemit - Pabsorb
    and
    Pnet = Aσε(T4 - T04)

    A is body surface area
    T is body surface temperature
    ε is body emissivity
    T0 is the ambient temperature
    σ is the Stefan–Boltzmann constant​

    Of course, your problem is a bit more complicated, as rocks don't sweat.
     
  5. Feb 13, 2017 #4

    hilbert2

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    The heat that the skin absorbs is continuously being transferred away with the blood flow through the capillary veins in the skin, so this can't be calculated as a simple radiative transfer problem.
     
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