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Temperature distribution and heat radiation of patterned surfaces at short wavelengths

TitleTemperature distribution and heat radiation of patterned surfaces at short wavelengths
Publication TypeJournal Article
Year of Publication2017
AuthorsEmig T
JournalPhysical Review E
Volume95
Issue5
Pagination Article Number 052104
Date PublishedMay-03-2017
ISSN2470-0045
Abstract

We analyze the equilibrium spatial distribution of surface temperatures of patterned surfaces. The surface is exposed to a constant external heat flux and has a fixed internal temperature that is coupled to the outside heat fluxes by finite heat conductivity across the surface. It is assumed that the temperatures are sufficiently high so that the thermal wavelength (a few microns at room temperature) is short compared to all geometric length scales of the surface patterns. Hence the radiosity method can be employed. A recursive multiple scattering method is developed that enables rapid convergence to equilibrium temperatures. While the temperature distributions show distinct dependence on the detailed surface shapes (cuboids and cylinder are studied), we demonstrate robust universal relations between the mean and the standard deviation of the temperature distributions and quantities that characterize overall geometric features of the surface shape.

URLhttp://link.aps.org/doi/10.1103/PhysRevE.95.052104
DOI10.1103/PhysRevE.95.052104
Short TitlePhys. Rev. E
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