Analytical Solution of Problems about the Radiative and Radiative–Conductive Stationary Heat Transfer in a Medium with an Arbitrary Dependence of the Scattering and Absorption on Frequency Boundary Conditions

Eugene Shamparov, Sergey Rode, Anatoly Bugrimov and Inna Zhagrina
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Eugene Shamparov: Department of Physics, A. N. Kosygin Russian State University, 117997 Moscow, Russia
Sergey Rode: Department of Physics, A. N. Kosygin Russian State University, 117997 Moscow, Russia
Anatoly Bugrimov: Department of Physics, A. N. Kosygin Russian State University, 117997 Moscow, Russia
Inna Zhagrina: Department of Physics, A. N. Kosygin Russian State University, 117997 Moscow, Russia

Energies, 2021, vol. 14, issue 19, 1-16

Abstract: We defined a method for the analytical solution of problems on stationary radiative and radiative–conductive heat transfer in a medium with an arbitrary frequency dependence of absorption and scattering near its boundary. We obtained formulas for the heat conductance of the remote surface and the thickness of the radiative–conductive relaxation of the medium. We determined characteristics of radiant heat transfer from the medium to free space such as the radiation spectrum, the radiation temperature and the medium outer boundary temperature. In addition, we solved the problem on the radiative–conductive heat transfer from one of two parallel surfaces to another with a medium between them.

Keywords: radiative–conductive heat transfer; diffusion of thermal radiation (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
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