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Combined heat conduction and heat radiation in one‐dimensional solid
Author(s) -
Maruyama Toshiro,
Satake Hiroaki
Publication year - 2006
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.10671
Subject(s) - dimensionless quantity , black body radiation , radiation , thermal conduction , radiant energy , flux (metallurgy) , heat flux , radiative flux , radiative transfer , thermodynamics , radiation flux , thermal radiation , materials science , absorption (acoustics) , mechanics , heat transfer , chemistry , physics , optics , composite material , metallurgy
The transient changes in the temperature of a solid material heated by radiation were obtained by numerical calculations using an unsteady one‐dimensional (1‐D) energy equation. The radiative loss of heat from the surface of a heated solid increases with an increase in the radiation flux. Therefore, the net blackbody radiation into a semi‐infinite solid keeps a higher proportion of the initial flux at a lower dimensionless initial flux I 0 (0)/αk(T b − T 0 ). In the case of bidirectional radiation to a finite solid, the relatively homogeneous heating can be accomplished at the optical thickness αL ≅ 10 0 . The heating rate is very low at αL ≲ 10 −1 resulting from the absorption of a small part of the radiation energy. On the other hand, the heating rate is high at αL ≳ 10 1 , but the heating is limited to a region near the wall, which results in an inhomogeneous temperature profile. At αL ≳ 10 2 , the temperature profiles become identical with that obtained for αL → ∞. © 2005 American Institute of Chemical Engineers AIChE J, 2006