Inverse radiative design in human thermal environment

Guillaume Leduc (1) , Françoise Monchoux (1) , Françoise Thellier (1)

1 L.E. - Laboratoire d'énergétique

This work investigates inverse boundary design for radiative heat transfer applied to human thermal environment. The problem consists in finding the temperatures of certain surfaces in a complex configuration around the human being that satisfy both the temperature and the heat flux prescribed on his body. Such a mathematical procedure is called inverse modeling which is described by an ill-conditioned system of linear equations based on the absorption factors method. The solution is obtained by regularizing the system of equations by the Tikhonov method. As a result we obtain optimized conditions for a complex human thermal system.

Mots clés: Inverse design; Radiation; Heat transfer; Human body; Enclosure

Domaines: Thermique [physics.class-ph]

Guillaume Leduc, Françoise Monchoux, Françoise Thellier. Inverse radiative design in human thermal environment. International Journal of Heat and Mass Transfer, 2004, 47 (14-16), pp.3291-3300. ⟨10.1016/j.ijheatmasstransfer.2004.03.005⟩. ⟨hal-02175487⟩