Strongly coupled near-field radiative and conductive heat transfer between planar bodies
Riccardo Messina, Weiliang Jin, Alejandro W. Rodriguez
We study the interplay of conductive and radiative heat transfer (RHT) in planar geometries and predict that temperature gradients induced by radiation can play a significant role on the behavior of RHT with respect to gap sizes, depending largely on geometric and material parameters and not so crucially on operating temperatures. Our findings exploit rigorous calculations based on a closed-form expression for the heat flux between two plates separated by vacuum gaps d and subject to arbitrary temperature profiles, along with an approximate but accurate analytical treatment of coupled conduction-radiation in this geometry. We find that these effects can be prominent in typical materials (e.g., silica and sapphire) at separations of tens of nanometers, and can play an even larger role in metal oxides, which exhibit moderate conductivities and enhanced radiative properties. Broadly speaking, these predictions suggest that the impact of RHT on thermal conduction, and vice versa, could manifest itself as a limit on the possible magnitude of RHT at the nanoscale, which asymptotes to a constant (the conductive transfer rate when the gap is closed) instead of diverging at short separations.
https://doi.org/10.1103/PhysRevB.94.121410
10.1103/PhysRevB.94.121410
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Conductive Heat Transfer Chemical Compounds 100%
Radiative Heat Transfer Chemical Compounds 97%
radiative heat transfer Physics & Astronomy 63%
conductive heat transfer Physics & Astronomy 50%
near fields Physics & Astronomy 43%
Heat transfer Engineering & Materials Science 34%
Radiation Engineering & Materials Science 20%
Sapphire Engineering & Materials Science 17%
Messina, R., Jin, W., & Rodriguez, A. W. (2016). Strongly coupled near-field radiative and conductive heat transfer between planar bodies. Physical Review B, 94(12), [121410]. https://doi.org/10.1103/PhysRevB.94.121410
Messina, Riccardo ; Jin, Weiliang ; Rodriguez, Alejandro W. / Strongly coupled near-field radiative and conductive heat transfer between planar bodies. In: Physical Review B. 2016 ; Vol. 94, No. 12.
@article{0bf65d3d70fb40e48393e85b187dd35b,
title = "Strongly coupled near-field radiative and conductive heat transfer between planar bodies",
abstract = "We study the interplay of conductive and radiative heat transfer (RHT) in planar geometries and predict that temperature gradients induced by radiation can play a significant role on the behavior of RHT with respect to gap sizes, depending largely on geometric and material parameters and not so crucially on operating temperatures. Our findings exploit rigorous calculations based on a closed-form expression for the heat flux between two plates separated by vacuum gaps d and subject to arbitrary temperature profiles, along with an approximate but accurate analytical treatment of coupled conduction-radiation in this geometry. We find that these effects can be prominent in typical materials (e.g., silica and sapphire) at separations of tens of nanometers, and can play an even larger role in metal oxides, which exhibit moderate conductivities and enhanced radiative properties. Broadly speaking, these predictions suggest that the impact of RHT on thermal conduction, and vice versa, could manifest itself as a limit on the possible magnitude of RHT at the nanoscale, which asymptotes to a constant (the conductive transfer rate when the gap is closed) instead of diverging at short separations.",
author = "Riccardo Messina and Weiliang Jin and Rodriguez, {Alejandro W.}",
note = "Funding Information: This work was supported by the National Science Foundation under Grant No. DMR-1454836 and by the Princeton Center for Complex Materials, a MRSEC supported by NSF Grant No. DMR 1420541. The authors thank P. Reddy for useful discussions. Publisher Copyright: {\textcopyright} 2016 American Physical Society.",
doi = "10.1103/PhysRevB.94.121410",
journal = "Physical Review B",
Messina, R, Jin, W & Rodriguez, AW 2016, 'Strongly coupled near-field radiative and conductive heat transfer between planar bodies', Physical Review B, vol. 94, no. 12, 121410. https://doi.org/10.1103/PhysRevB.94.121410
Strongly coupled near-field radiative and conductive heat transfer between planar bodies. / Messina, Riccardo; Jin, Weiliang; Rodriguez, Alejandro W.
In: Physical Review B, Vol. 94, No. 12, 121410, 26.09.2016.
T1 - Strongly coupled near-field radiative and conductive heat transfer between planar bodies
AU - Messina, Riccardo
AU - Jin, Weiliang
AU - Rodriguez, Alejandro W.
N1 - Funding Information: This work was supported by the National Science Foundation under Grant No. DMR-1454836 and by the Princeton Center for Complex Materials, a MRSEC supported by NSF Grant No. DMR 1420541. The authors thank P. Reddy for useful discussions. Publisher Copyright: © 2016 American Physical Society.
N2 - We study the interplay of conductive and radiative heat transfer (RHT) in planar geometries and predict that temperature gradients induced by radiation can play a significant role on the behavior of RHT with respect to gap sizes, depending largely on geometric and material parameters and not so crucially on operating temperatures. Our findings exploit rigorous calculations based on a closed-form expression for the heat flux between two plates separated by vacuum gaps d and subject to arbitrary temperature profiles, along with an approximate but accurate analytical treatment of coupled conduction-radiation in this geometry. We find that these effects can be prominent in typical materials (e.g., silica and sapphire) at separations of tens of nanometers, and can play an even larger role in metal oxides, which exhibit moderate conductivities and enhanced radiative properties. Broadly speaking, these predictions suggest that the impact of RHT on thermal conduction, and vice versa, could manifest itself as a limit on the possible magnitude of RHT at the nanoscale, which asymptotes to a constant (the conductive transfer rate when the gap is closed) instead of diverging at short separations.
AB - We study the interplay of conductive and radiative heat transfer (RHT) in planar geometries and predict that temperature gradients induced by radiation can play a significant role on the behavior of RHT with respect to gap sizes, depending largely on geometric and material parameters and not so crucially on operating temperatures. Our findings exploit rigorous calculations based on a closed-form expression for the heat flux between two plates separated by vacuum gaps d and subject to arbitrary temperature profiles, along with an approximate but accurate analytical treatment of coupled conduction-radiation in this geometry. We find that these effects can be prominent in typical materials (e.g., silica and sapphire) at separations of tens of nanometers, and can play an even larger role in metal oxides, which exhibit moderate conductivities and enhanced radiative properties. Broadly speaking, these predictions suggest that the impact of RHT on thermal conduction, and vice versa, could manifest itself as a limit on the possible magnitude of RHT at the nanoscale, which asymptotes to a constant (the conductive transfer rate when the gap is closed) instead of diverging at short separations.
U2 - 10.1103/PhysRevB.94.121410
DO - 10.1103/PhysRevB.94.121410
JO - Physical Review B
JF - Physical Review B
Messina R, Jin W, Rodriguez AW. Strongly coupled near-field radiative and conductive heat transfer between planar bodies. Physical Review B. 2016 Sep 26;94(12). 121410. https://doi.org/10.1103/PhysRevB.94.121410