Radiation heat transfer between parallel plates

Thread starter FEAnalyst
Start date May 31, 2020
Tags

Heat Heat transfer Parallel Parallel plates Plates Radiation Radiation heat transfer

Click For Summary

The discussion revolves around calculating the final temperatures of two parallel plates exchanging heat via radiation. The initial heat flux formula is provided, but participants express difficulty in deriving the final equilibrium temperatures analytically, especially when thermal losses are not considered. A numerical simulation suggests that the plates reach temperatures around 310 K, while analytical methods yield inconsistent results. The conversation emphasizes the importance of equating energy flux and considering the system's isolation to accurately predict steady-state temperatures. Overall, the challenge lies in reconciling analytical calculations with simulation outcomes in thermal radiation scenarios.

Jun 28, 2022

hmmm27

Gold Member

FEAnalyst said:

is there a way to calculate the final temperatures of the plates (in steady state, when the amount of heat known from above equation will be exchanged)?

##T_{final}## given ##T_1## and ##T_2## ? Stefan-Boltzmann equation : juggling, thereof.

For the two values given : 293.15K , 373.15K , the results of that (radiative) and the heat-conduction equation mentioned differ by ~2%.

Do the algebra first. Waaaay less messy.