Physics – Classical Physics
Scientific paper
2011-07-11
Physics
Classical Physics
5 pages, 4 figures. Corrected background information in the introduction, results and discussion unchanged
Scientific paper
We examine the non-equilibrium radiative heat transfer between a plate and finite cylinders and cones, making the first accurate theoretical predictions for the total heat transfer and the spatial heat flux profile for three-dimensional compact objects including corners or tips. We find qualitatively different scaling laws for conical shapes at small separations, and in contrast to a flat/slightly-curved object, a sharp cone exhibits a local \emph{minimum} in the spatially resolved heat flux directly below the tip. The method we develop, in which a scattering-theory formulation of thermal transfer is combined with a boundary-element method for computing scattering matrices, can be applied to three-dimensional objects of arbitrary shape.
Homer Reid M. T.
Johnson Steven G.
Krüger Matthias
McCauley Alexander P.
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