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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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Eugene Shamparov & Sergey Rode & Anatoly Bugrimov & Inna Zhagrina, 2021. "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 Co," Energies, MDPI, vol. 14(19), pages 1-16, October.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:19:p:6339-:d:649820
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