Solve Thermal Radiation HW: Find Temperature Inside Insulating Case

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SUMMARY

The discussion focuses on calculating the temperature inside a thin insulating case surrounding an iPod, which has a thickness of 2.5mm and a thermal conductivity of 0.02 W/K/m. The case is black and exchanges energy with its surroundings at 20 degrees Celsius solely through radiation. Participants clarify that the thermal diffusion equation is not applicable due to the exclusive reliance on radiative heat transfer, emphasizing the need to consider the thermal properties of the case and the surrounding environment to determine the internal temperature.

PREREQUISITES
  • Understanding of thermal conductivity and its units (W/K/m)
  • Knowledge of radiative heat transfer principles
  • Familiarity with the concept of thermal insulation
  • Basic grasp of temperature measurement and units
NEXT STEPS
  • Research the Stefan-Boltzmann Law for calculating radiative heat transfer
  • Learn about the thermal resistance concept in insulating materials
  • Explore the effects of surface emissivity on thermal radiation
  • Study heat transfer equations specific to radiation in enclosed spaces
USEFUL FOR

Students in thermodynamics, engineers working on thermal management solutions, and anyone involved in heat transfer analysis or insulation design.

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Homework Statement



An ipod is left running inside a thin insulating case 2.5mm thick with thermal conductivity of 0.02W/K/m. The case is black and at 25 degrees C and exchanges energy with its surroundings, all of which are at 20 degrees C by radiation alone. What is the temperature inside the case?


Homework Equations





The Attempt at a Solution



Not sure how to do this?

Am i right that we don't use the thermal diffusion equation because it says "by radiation alone"..

Not sure how to do it, especially as we don't know the shape of the case etc..?

Help please! :)
 
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I believe the radiation heat transfer limitation only applies between the case and the air.
 

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