Fluctuating-surface-current formulation of radiative heat transfer: Theory and applications
We describe a fluctuating-surface current formulation of radiative heat transfer between bodies of arbitrary shape that exploits efficient and sophisticated techniques from the surface-integral-equation formulation of classical electromagnetic scattering. Unlike previous approaches to nonequilibrium...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/88773 https://orcid.org/0000-0001-7327-4967 |
| _version_ | 1826210431058837504 |
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| author | Rodriguez, Alejandro W. Johnson, Steven G. Reid, M. T. Homer |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Rodriguez, Alejandro W. Johnson, Steven G. Reid, M. T. Homer |
| author_sort | Rodriguez, Alejandro W. |
| collection | MIT |
| description | We describe a fluctuating-surface current formulation of radiative heat transfer between bodies of arbitrary shape that exploits efficient and sophisticated techniques from the surface-integral-equation formulation of classical electromagnetic scattering. Unlike previous approaches to nonequilibrium fluctuations that involve scattering matrices—relating “incoming” and “outgoing” waves from each body—our approach is formulated in terms of “unknown” surface currents, laying at the surfaces of the bodies, that need not satisfy any wave equation. We show that our formulation can be applied as a spectral method to obtain fast-converging semianalytical formulas in high-symmetry geometries using specialized spectral bases that conform to the surfaces of the bodies (e.g., Fourier series for planar bodies or spherical harmonics for spherical bodies), and can also be employed as a numerical method by exploiting the generality of surface meshes/grids to obtain results in more complicated geometries (e.g., interleaved bodies as well as bodies with sharp corners). In particular, our formalism allows direct application of the boundary-element method, a robust and powerful numerical implementation of the surface-integral formulation of classical electromagnetism, which we use to obtain results in new geometries, such as the heat transfer between finite slabs, cylinders, and cones. |
| first_indexed | 2024-09-23T14:49:46Z |
| format | Article |
| id | mit-1721.1/88773 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:49:46Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/887732022-10-01T22:44:19Z Fluctuating-surface-current formulation of radiative heat transfer: Theory and applications Rodriguez, Alejandro W. Johnson, Steven G. Reid, M. T. Homer Massachusetts Institute of Technology. Department of Mathematics Rodriguez, Alejandro W. Reid, M. T. Homer Johnson, Steven G. We describe a fluctuating-surface current formulation of radiative heat transfer between bodies of arbitrary shape that exploits efficient and sophisticated techniques from the surface-integral-equation formulation of classical electromagnetic scattering. Unlike previous approaches to nonequilibrium fluctuations that involve scattering matrices—relating “incoming” and “outgoing” waves from each body—our approach is formulated in terms of “unknown” surface currents, laying at the surfaces of the bodies, that need not satisfy any wave equation. We show that our formulation can be applied as a spectral method to obtain fast-converging semianalytical formulas in high-symmetry geometries using specialized spectral bases that conform to the surfaces of the bodies (e.g., Fourier series for planar bodies or spherical harmonics for spherical bodies), and can also be employed as a numerical method by exploiting the generality of surface meshes/grids to obtain results in more complicated geometries (e.g., interleaved bodies as well as bodies with sharp corners). In particular, our formalism allows direct application of the boundary-element method, a robust and powerful numerical implementation of the surface-integral formulation of classical electromagnetism, which we use to obtain results in new geometries, such as the heat transfer between finite slabs, cylinders, and cones. United States. Defense Advanced Research Projects Agency (Contract N66001-09-1-2070-DOD) United States. Air Force Office of Scientific Research. Multidisciplinary University Research Initiative (Grant FA9550-09-1-0704) United States. Army Research Office (Contract W911NF-07-D-0004) United States. Army Research Office (Contract W911NF-13-D-0001) 2014-08-18T17:54:38Z 2014-08-18T17:54:38Z 2013-08 2013-04 Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/88773 Rodriguez, Alejandro W., M. T. H. Reid, and Steven G. Johnson. “Fluctuating-Surface-Current Formulation of Radiative Heat Transfer: Theory and Applications.” Phys. Rev. B 88, no. 5 (August 2013). © 2013 American Physical Society https://orcid.org/0000-0001-7327-4967 en_US http://dx.doi.org/10.1103/PhysRevB.88.054305 Physical Review B 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. application/pdf American Physical Society American Physical Society |
| spellingShingle | Rodriguez, Alejandro W. Johnson, Steven G. Reid, M. T. Homer Fluctuating-surface-current formulation of radiative heat transfer: Theory and applications |
| title | Fluctuating-surface-current formulation of radiative heat transfer: Theory and applications |
| title_full | Fluctuating-surface-current formulation of radiative heat transfer: Theory and applications |
| title_fullStr | Fluctuating-surface-current formulation of radiative heat transfer: Theory and applications |
| title_full_unstemmed | Fluctuating-surface-current formulation of radiative heat transfer: Theory and applications |
| title_short | Fluctuating-surface-current formulation of radiative heat transfer: Theory and applications |
| title_sort | fluctuating surface current formulation of radiative heat transfer theory and applications |
| url | http://hdl.handle.net/1721.1/88773 https://orcid.org/0000-0001-7327-4967 |
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