How Hot Should the Radiant Heat Lamp Be to Maintain Pizza at 250 F?

Click For Summary

Discussion Overview

The discussion revolves around the design of a radiant pizza warming system to maintain a pizza at 250 F. It includes considerations of heat transfer mechanisms such as conduction, convection, and radiation, as well as the properties of the materials involved.

Discussion Character

  • Homework-related, Technical explanation

Main Points Raised

  • One participant presents a scenario involving a pizza on a ceramic pan, detailing the thermal properties and environmental conditions affecting heat transfer.
  • The participant expresses confusion regarding the energy radiated by a blackbody and the interaction between the pizza and the heat lamp, questioning how to calculate the heat transfer without knowing the view factor.
  • Another participant humorously comments on hunger, which does not contribute to the technical discussion.
  • A third participant expresses a general liking for pizza, which also does not contribute to the technical discussion.

Areas of Agreement / Disagreement

The discussion remains unresolved, with no consensus on how to approach the calculations necessary to determine the required temperature of the radiant heat lamp.

Contextual Notes

The participant's attempt at a solution highlights limitations in their understanding of blackbody radiation and the need for specific geometric factors, which remain unaddressed.

gfd43tg
Gold Member
Messages
949
Reaction score
48

Homework Statement


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 ?


Homework Equations





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.
 

Attachments

Physics news on Phys.org
Solved disregard
 
Yeah, but now I'm hungry... :smile:
 
I like pizza.
 

Similar threads

Filament radiation in light bulb
  • · Replies 1 ·
Replies
1
Views
3K