An Inverse Analysis for Estimation of Boundary Conditions in a 2-D Combined Mode Transient Conduction-Radiation Problem

ABSTRACT

Determination of initial condition, boundary conditions and medium properties fall under the purview of inverse problems. Estimation of boundary conditions to achieve the desired thermal conditions in an enclosure is one of the important applications of inverse problems in heat transfer. To account for radiative heat transfer, the effect of participating medium in the enclosure also needs to be considered. In the present work, a 2-D transient conduction-radiation problem in a rectangular enclosure is considered for estimating the boundary temperatures using inverse analysis. For estimating the boundary conditions, the inverse method involving the lattice Boltzmann method (LBM) and the finite volume method (FVM) in conjunction with the genetic algorithm (GA) are used. In the direct method, the FVM is used for computing the radiative information while the LBM is used to solve the energy equation. The temperature field obtained in the direct method is used in the inverse method for estimation of unknown boundary conditions using the LBM-FVM and the GA. The results are presented for different GA parameters on the estimated values of the boundary temperatures. The LBM-FVM-GA combination has been found to accurately predict the unknown boundary conditions.

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