Non-Fourier effects on transient coupled radiative-conductive heat transfer in one-dimensional semitransparent medium subjected to a periodic irradiation

The non-Fourier effects oil transient thermal response in semitransparent m edium with black boundary surfaces caused by a periodic irradiation are stu died. The processes of the transient coupled radiative-conductive heat tran sfer in a one-dimensional semitransparent slab with black boundaries are an alyzed numerically. The hyperbolic heat conduction equation is solved by th e flux-splitting method, and the radiative transfer equation is solved by t he discrete ordinate method. The transient thermal responses obtained from hyperbolic heat conduction equation are compared with those obtained from t he classical parabolic heat conduction equation. The results show that the non-Fourier effect call be important when the conduction-to-radiation param eter and the thermal relaxation time of heat conduction are larger. The non -Fourier effect can be important even at a long time after the initial tran sient if the periodic irradiation at boundary is oscillatory with the perio d of oscillation of the same order of magnitude as the thermal relaxation t ime of conduction. (C) 2001 Elsevier Science Ltd. All rights reserved.