This work investigates inverse boundary design for radiation, convection and conduction combined-mode heat transfer. The problem consists of finding the heat flux distribution on a heater that satisfies both the temperature and the heat flux prescribed on a design surface of an enclosure formed by two finite parallel plates. A gray participating medium flows in laminar regime between the walls, which are gray, diffuse emitters and absorbers. All the thermal properties are uniform. This problem is described by an ill-conditioned system of non-linear equations. The solution is obtained by regularizing the system of equations by means of truncated singular value decomposition (TSVD).

Issue Section:
Radiative Transfer
Keywords:
Channel Flow, Convection, Heat Transfer, Inverse, Radiation, convection, channel flow, inverse problems, singular value decomposition, heat radiation
Topics:
Convection, Design, Heat flux, Radiation (Physics), Temperature, Errors
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