Inverse determination of heat source distribution in radiative systems with participating media
This work considers the inverse problem where the two-dimensional heat source distribution in a rectangular enclosure is to be found that satisfies both the temperature and the heat flux distributions prescribed on the surfaces. The enclosure is filled with a participating gray medium, and the walls are gray emitters and absorbers. The heat transfer is governed solely by thermal radiation. The inverse problem can be formulated by two different system of linear equations, the complete and reduced formulations. In both cases, the system is ill-conditioned, and the truncated singular value decomposition method (TSVD) is invoked for the solution. The results present a comparison between the complete and the reduced formulations, as well the heat source distribution in the medium that satisfies both uniform heat flux and temperature on the surfaces. This work is applicable to gas-fired industrial furnaces.
- Research Organization:
- Univ. of Texas, Austin, TX (US)
- OSTI ID:
- 20002463
- Report Number(s):
- CONF-990805--
- Country of Publication:
- United States
- Language:
- English
Similar Records
Two-dimensional transfer in radiatively participating media with conduction by the P-N approximation
Solution of ill-posed problems by means of Truncated SVD (Singular Value Decomposition)