International Journal of Heat and Mass Transfer, Vol.53, No.5-6, 931-939, 2010
Inverse design of thermal systems with spectrally dependent emissivities
This work extends the inverse design methodology to systems in which the emissivities of the surfaces are dependent on the wavelength. The objective is to find the powers of the heaters to achieve uniform temperature and heat nux on the design surface The mathematical formulation is described by an ill-conditioned system of non-linear equations, which is regularized by the TSVD method The Solution involves an iterative approach in which the radiation distribution in the spectrum bands is repeatedly guessed and corrected as the estimation of the heaters temperatures evolves The example cases demonstrate the effectiveness of the proposed methodology (C) 2009 Elsevier Ltd. All rights reserved
Keywords:Thermal processing;Inverse problems;Thermal radiation;Spectral dependence;TSVD regularization