title: Validity criterion of the radiative Fourier law for an absorbing and scattering medium.
abstract: For radiative heat transfer applications, in particular in homogenized phases of porous media, an exhaustive and accurate validity criterion of the radiative Fourier law, depending only on the logarithmic derivative of the temperature field and an effective absorption coefficient, accounting for possible multiple scattering phenomena, has been established for a semitransparent medium. This effective absorption coefficient is expressed as a function of the absorption coefficient, the albedo, and the scattering asymmetry parameter. The criterion can be applied to semitransparent media that do not follow Beer's laws related to extinction, absorption, and scattering.
authors.affiliation: Laboratoire EM2C, École Centrale Paris-UPR 288 Centre National de la Recherche Scientifique, Bâtiment Péclet, 92295 Châtenay-Malabry Cedex, France.
authors.forename: Hector
authors.initials: H
authors.lastname: Gomart
authors.forename: Jean
authors.initials: J
authors.lastname: Taine