I Stefan-Boltzmann Law: IvdvcosΘdw Explained

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Thread starter Apashanka das
Start date Mar 2, 2018
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Law Stefan-boltzmann Stefan-boltzmann law

AI Thread Summary

The discussion centers on the Stefan-Boltzmann Law and the integration of radiative flux IvdvcosΘdw for a spherical black body. It clarifies that the integration is performed from 0 to pi/2 because the black body can only emit radiation in one hemisphere, where the flux is non-zero. The concept of solid angle and frequency is also mentioned, emphasizing the importance of these variables in calculating radiative flux. The reasoning behind limiting the integration to the upper hemisphere is rooted in the physical properties of black body radiation. Understanding this integration is crucial for accurately applying the Stefan-Boltzmann Law in thermal radiation contexts.

Mar 2, 2018

Apashanka das

I am having a doubt of why is the radiative flux I_vdvcosΘdw in equilibrium integrated for a spherical black body only from 0 to pi/2 not pi(e.g. For the entire surface for which it is zero),
v=frequency
dw= solid angle

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Mar 2, 2018

mfb

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It is a surface, it can only emit radiation in one hemisphere.

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