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Radiation lamp to heat pizza

  1. Apr 30, 2014 #1

    Maylis

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    Gold Member

    1. The problem statement, all variables and given/known data
    Cheese Board Pizza just hired me to design a radiant pizza warming system. The pizza must be maintained at 250 F until the order is picked up by the delivery driver. The one square foot pizza sits on a ½ inch thick ceramic pan (k = 0.50 BTU /hr ft F) on a counter that is at 85 F. A fan blows air at 70 F over the top of the pizza (the convective film coefficient is estimated to be 2.0 BTU / hr ft2 F). the emissivity (ε) of the pizza is 0.60.

    How hot must the radiant heat lamp be to keep the pizza at the desired temperature ?


    2. Relevant equations



    3. The attempt at a solution
    Hello, I am having some confusion over if the blackbody radiates energy, as well as the pizza radiating energy back at the lamp, which can be approximated as a blackbody.

    I originally had 4 terms, a convection and conduction term leaving the pizza, a radiation term leaving the pizza, and a radiation term from the blackbody going to the pizza. However, if I consider the blackbody radiation, I have no equation to find the Q because I don't know the view factor F12 since I don't have a ratio of the smaller side/distance between planes.
     

    Attached Files:

  2. jcsd
  3. Apr 30, 2014 #2

    Maylis

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    Solved disregard
     
  4. Apr 30, 2014 #3

    berkeman

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    Staff: Mentor

    Yeah, but now I'm hungry... :smile:
     
  5. May 1, 2014 #4

    collinsmark

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    I like pizza.
     
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