Find light bulb surface temp from temperature measurements

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SUMMARY

The discussion focuses on calculating the surface temperature of a light bulb using steady-state temperature measurements taken from three locations. The bulb is modeled as a hemispherical radiation source, and the relevant equations include q''=σ(Ts-Tsurr)⁴ for heat transfer and q=kAΔT for conduction. Participants emphasize the non-linear nature of temperature distribution and suggest using a fitting method based on a reasonable shape derived from simulations rather than a linear approach.

PREREQUISITES
  • Understanding of thermal radiation principles, specifically Stefan-Boltzmann law.
  • Familiarity with heat transfer equations, including conduction and radiation.
  • Basic knowledge of data fitting techniques and curve fitting methods.
  • Experience with simulation tools for modeling temperature distributions.
NEXT STEPS
  • Explore the Stefan-Boltzmann law in detail and its applications in thermal analysis.
  • Learn about non-linear regression techniques for fitting temperature distribution data.
  • Investigate simulation software options for modeling thermal radiation, such as COMSOL Multiphysics.
  • Study the principles of heat transfer in hemispherical geometries for more accurate modeling.
USEFUL FOR

Students in thermal physics, engineers working on thermal management systems, and researchers involved in heat transfer analysis will benefit from this discussion.

dons33
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Homework Statement


I have 3 data points of steady state temperature at 3 locations some distance away from a bulb, I need to calculate the temperature of the surface of the bulb. It would be best to assume the bulb is a hemispherical radiation source, based on the experiment set-up


Homework Equations


q''=σ(Ts-Tsurr)4
I=E/∏
G=I∏

q=kAΔT

The Attempt at a Solution


I am assuming the temperature distribution is not linear so using a line to fit the data then backing out the temp would not give an accurate result.
 
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I don't think that will work at all.
If you can find a reasonable shape for the temperature distribution (based on a simulation or whatever), you can fit it - it is certainly not a straight line, but that does not matter for the fit.
 

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