Inverse boundary design combining radiation and convection heat transfer

This work investigates inverse boundary design for radiation, convection an d conduction combined-mode heat transfer The problem consists of finding th e heat flux distribution on a heater that satisfies both the temperature an d the heat flux prescribed on a design surface of an enclosure formed by tw o finite parallel plates. A gray participating medium flows in laminar regi me between the walls, which tire gray. tl diffuse emitters and absorbers. A ll the thermal properties are uniform. This problem is described by till il l-conditioned system of non-linear equations. The solution is obtained by r egularizing the system of equations by means of truncated singular value de composition (TSVD).