Temperature distribution and heat radiation of patterned surfaces at short wavelengths
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 th...
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| Format: | Article |
| Language: | English |
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American Physical Society
2017
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| Online Access: | http://hdl.handle.net/1721.1/108772 |
| _version_ | 1811095206069534720 |
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| author | Emig, Thorsten |
| author2 | MultiScale Materials Science for Energy and Environment, Joint MIT-CNRS Laboratory |
| author_facet | MultiScale Materials Science for Energy and Environment, Joint MIT-CNRS Laboratory Emig, Thorsten |
| author_sort | Emig, Thorsten |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T16:12:28Z |
| format | Article |
| id | mit-1721.1/108772 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:12:28Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1087722022-10-02T07:05:55Z Temperature distribution and heat radiation of patterned surfaces at short wavelengths Emig, Thorsten MultiScale Materials Science for Energy and Environment, Joint MIT-CNRS Laboratory Emig, Thorsten 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. 2017-05-09T14:31:01Z 2017-05-09T14:31:01Z 2017-05 2017-02 2017-05-03T22:00:04Z Article http://purl.org/eprint/type/JournalArticle 1539-3755 1550-2376 http://hdl.handle.net/1721.1/108772 Emig, Thorsten."Temperature distribution and heat radiation of patterned surfaces at short wavelengths." Physical Review E 95 (2017 May): 052104. © 2017 American Physical Society en http://dx.doi.org/10.1103/PhysRevE.95.052104 Physical Review E Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Emig, Thorsten Temperature distribution and heat radiation of patterned surfaces at short wavelengths |
| title | Temperature distribution and heat radiation of patterned surfaces at short wavelengths |
| title_full | Temperature distribution and heat radiation of patterned surfaces at short wavelengths |
| title_fullStr | Temperature distribution and heat radiation of patterned surfaces at short wavelengths |
| title_full_unstemmed | Temperature distribution and heat radiation of patterned surfaces at short wavelengths |
| title_short | Temperature distribution and heat radiation of patterned surfaces at short wavelengths |
| title_sort | temperature distribution and heat radiation of patterned surfaces at short wavelengths |
| url | http://hdl.handle.net/1721.1/108772 |
| work_keys_str_mv | AT emigthorsten temperaturedistributionandheatradiationofpatternedsurfacesatshortwavelengths |