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Inverse design of thermal systems with spectrally dependent emissivities |
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| Authors: | RS Hoffmann A Seewald PS Schneider FHR França |
| Affiliation: | 1. Cardiff School of Engineering, Cardiff University, The Queen’s Buildings, 14-17 The Parade, Cardiff CF24 3AA, United Kingdom;2. State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074, China;1. Department of Civil and Environmental Engineering, North Dakota State University, Fargo, ND 58108, USA;2. Department of Construction Management and Engineering, North Dakota State University, Fargo, ND 58108, USA;1. Polytechnique Montréal, C.P. 6079, Succ. Centre-ville, Montreal, QC, Canada H3C 3A7;2. École Polytechnique, Route de Saclay, 91128 Palaiseau, France;3. GERAD, 3000, ch. de la Côte-Sainte-Catherine, Montreal, QC, Canada H3T 2A7 |
| Abstract: | 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 flux 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. |
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