What is the Emission Spectrum of an Incandescent Light Bulb Assignment

Assignment Task

1. The light emission mechanism of an incandescent light bulb is blackbody radiation of the wall of a cylindrical conductor that is heated by dissipating electrical energy. Develop a simulation model of a cylinder heated from within, and with a blackbody radiation boundary condition. Bear in mind that the heating source is alternating current. Test your model with different grid spacings to ensure that the result is accurate.

2. Explore different sizes and energy dissipation rates.

3. Find a combination that matches the time-averaged light spectrum and time-averaged efficiency.

4. Is there a unique combination or are there multiple combinations that lead to the same outcome?

5. Make plots of the time-dependence of the temperature profile in the wire, and the light intensity.

6. Is a steady periodicity obtained right away, or are many cycles needed to reach a steady periodicity?

7. Is the light output strongly time-dependent or not? What is the length of wire needed to obtain a 100-watt light bulb with realistic properties?

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