Understanding Stefan Boltzmann Law: Derivation and Simulation Guide

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SUMMARY

The discussion focuses on the derivation of the Stefan-Boltzmann Law, specifically the equation ΔQ/Δt = σA(Th^4 - Td^4). The user seeks clarification on how this equation is derived from the initial equations R = εσT^4 and ΔQ/Δt = mc(dT/dt). The key takeaway is the relationship between the rate of heat transfer and the temperature difference of two black bodies, emphasizing the importance of understanding the constants involved, such as the Stefan-Boltzmann constant (σ).

PREREQUISITES
  • Understanding of thermodynamics principles
  • Familiarity with black body radiation concepts
  • Knowledge of the Stefan-Boltzmann constant (σ)
  • Basic calculus for understanding rate of change
NEXT STEPS
  • Study the derivation of the Stefan-Boltzmann Law in detail
  • Learn about black body radiation and its applications
  • Explore simulations of thermal radiation using Python or MATLAB
  • Investigate the implications of temperature gradients in heat transfer
USEFUL FOR

Physics students, thermal engineers, and anyone interested in the principles of heat transfer and black body radiation.

Samir Aliyev
Hello, everyone, I was looking at this video () and I need to make a simulation for Stefan Boltzmann law calculating its constant. I didn't understand few things.
In the video, it shows that Stefan Boltzmann law is R = e*sigma*T^4vand then says that rate of net heat transferred
ΔQ/Δt = m*c*dT/dt then it derives this equation: ΔQ/Δt = sigma*A*(T h^4 - T d^4)
where A is the area of the black body disc. I understood every part except this. I just can't understand how did she derive this equation from the other 2 equations. Please tell me it I am misunderstanding anything. Any help will be appreciated
 
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