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Research Papers: Radiative Heat Transfer

Direct Numerical Simulation of Near Field Thermal Radiation Based on Wiener Chaos Expansion of Thermal Fluctuating Current

[+] Author and Article Information
Sy-Bor Wen

Department of Mechanical Engineering, Texas A&M University, 3123 TAMU, College Station, TX 77843-3123

J. Heat Transfer 132(7), 072704 (May 05, 2010) (7 pages) doi:10.1115/1.4000995 History: Received October 01, 2009; Revised November 10, 2009; Published May 05, 2010; Online May 05, 2010

A methodology is proposed, which is capable of determining the near field thermal radiation based on the Wiener chaos expansion. The approach has no explicit constraints on the geometry and temperature distributions of the system and can be easily included with classical electrodynamics simulations. A specific application is made for the near field thermal radiation between two plates and the results are in very good agreement with the classical solutions obtained from Green’s function method. Also, by comparing the resulting solutions with the solutions from Green’s function method, a new point of view for interpreting the results for the near field thermal radiation in terms of a chaos expansion is provided.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Square plate used for the eigenmode ϕijk(r⃑) analysis

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Figure 2

Geometric of the infinite plane used for the eigenmode ϕijk(r⃑) analysis. The size of the plate is not limited in both the x and z directions.

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Figure 3

Geometry for the FDFD simulation for the near field thermal radiation under a specified wave number K and an eigenmode of the random thermal fluctuating current ϕlK. D=150 nm, d=10 nm, infinite length.

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Figure 4

Geometry for the thermal radiation described by an analytical solution with Green’s function method

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Figure 5

Comparison between WCE (simulated) and dyadic Green’s function (analytic) approaches for the near field monochromatic S and P polarized thermal emission intensities per unit wave number in the x-z plane between two thin gold plates (150 nm) with a separation distance of 10 nm when (a) ω=1013 rad/s, (b) ω=4×1013 rad/s, (c) ω=1014 rad/s, (d) ω=4×1014 rad/s, and (e) ω=1015 rad/s

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Figure 6

Comparison between WCE (simulated) and dyadic Green’s function (analytic) approaches for the near field S and P polarized along with total thermal emission intensities between two thin gold plates (150 nm) with a separation distance of 10 nm under different frequencies

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Figure 7

Comparison between WCE and dyadic Green’s function approaches for the near field thermal radiation between two 300 nm gold plates with a separation distance of 10 nm when ω=1×1013 rad/s

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