Modeling near-field radiative heat transfer from sharp objects using a   general 3d numerical scattering technique
  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. 
Alexander P. McCauley, M. T. Homer Reid, Matthias Kr\"uger, Steven G.   Johnson
physics.class-ph physics.comp-ph