Computation of inverse radiative heat transfer within enclosures
The objective of this paper is to describe in detail a methodology for the inverse design of radiative heat transfer dominated systems. The system under consideration is an enclosure composed of diffuse-gray opaque surfaces containing a homogeneous absorbing-emitting isothermal medium. The mathematical model is presented in terms of a set of integral equations for the outgoing radiative energy fluxes and a modified differential approximation (P{sub 1}) to account for the participating medium. Due to the ill-conditioned (large condition number) nature of the set of linear equations obtained from the discretization of the mathematical model, a regularized solution based on the Modified Truncated Singular Value Decomposition method (MTSVD) is computed. Numerical results indicate that a solution for the optimal design of radiative exchange dominated systems can be computed within some degree of accuracy. Results also show that the modified differential approximation is easy to implement in the context of inverse radiation problems.
- Research Organization:
- Univ. of Texas, Austin, TX (US)
- OSTI ID:
- 20013356
- Country of Publication:
- United States
- Language:
- English
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