English

Modeling near-field radiative heat transfer from sharp objects using a general 3d numerical scattering technique

Classical Physics 2015-05-28 v2 Computational Physics

Abstract

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.

Keywords

Cite

@article{arxiv.1107.2111,
  title  = {Modeling near-field radiative heat transfer from sharp objects using a general 3d numerical scattering technique},
  author = {Alexander P. McCauley and M. T. Homer Reid and Matthias Krüger and Steven G. Johnson},
  journal= {arXiv preprint arXiv:1107.2111},
  year   = {2015}
}

Comments

5 pages, 4 figures. Corrected background information in the introduction, results and discussion unchanged

R2 v1 2026-06-21T18:35:10.970Z