Nonstationary Problem of Complex Heat Transfer in a System of Semitransparent Bodies with Boundary-Value Conditions of Diffuse Reflection and Refraction of Radiation
- Authors: Amosov A.A.1
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Affiliations:
- National Research University “Moscow Power Engineering Institute”
- Issue: Vol 233, No 6 (2018)
- Pages: 777-806
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241705
- DOI: https://doi.org/10.1007/s10958-018-3967-x
- ID: 241705
Cite item
Abstract
We consider a nonstationary initial boundary-value problem describing complex (radiative-conductive) heat transfer in a system of semitransparent bodies. To describe radiation propagation, we use the radiation transfer equation with boundary-value conditions of diffuse reflection and refraction of radiation. We take into account that the radiation intensity and optical properties of bodies depend on the radiation frequency. The unique solvability of a weak solution is established. The comparison theorem is proved. A priori estimates of a weak solution as well as its regularity are obtained.
About the authors
A. A. Amosov
National Research University “Moscow Power Engineering Institute”
Author for correspondence.
Email: AmosovAA@mpei.ru
Russian Federation, Moscow