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Research Papers: Heat and Mass Transfer

Three-Body Heat Transfer Between Anisotropic Magneto-Dielectric Hyperbolic Metamaterials

[+] Author and Article Information
Jinlin Song

State Key Laboratory of Coal Combustion,
Huazhong University of Science and Technology,
Wuhan 430074, Hubei, China;
Shenzhen Huazhong University of Science and
Technology Research Institute,
Shenzhen 518057, Guangdong, China

Lu Lu

State Key Laboratory of Coal Combustion,
Huazhong University of
Science and Technology,
Wuhan 430074, Hubei, China;
Shenzhen Huazhong University of Science and
Technology Research Institute,
Shenzhen 518057, Guangdong, China

Qiang Cheng

State Key Laboratory of Coal Combustion,
Huazhong University of Science and Technology,
Wuhan 430074, Hubei, China;
Shenzhen Huazhong University of Science and
Technology Research Institute,
Shenzhen 518057, Guangdong, China
e-mail: chengqiang@mail.hust.edu.cn

Zixue Luo

State Key Laboratory of Coal Combustion,
Huazhong University of
Science and Technology,
Wuhan 430074, Hubei, China

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 3, 2017; final manuscript received January 10, 2018; published online May 7, 2018. Assoc. Editor: Ali Khounsary.

J. Heat Transfer 140(8), 082005 (May 07, 2018) (5 pages) Paper No: HT-17-1446; doi: 10.1115/1.4039542 History: Received August 03, 2017; Revised January 10, 2018

We investigate the near-field (NF) radiative heat transfer of the three-body system consisting of anisotropic magnetodielectric hyperbolic metamaterials (AMDHMs), which can support coupled surface phonon polaritons (SPhPs) and hyperbolic modes for both p and s polarizations. We numerically demonstrate that the NF heat transfer between two AMDHMs bodies can be further enhanced by inserting an AMDHMs slab. Due to the loss in AMDHMs, there exists an optimum thickness of the intermediate slab to maximize the NF heat flux flowing to the receiver for a fixed gap distance. Results obtained from this work will facilitate investigations of the NF heat transfer involving magnetic hyperbolic metamaterials.

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Figures

Grahic Jump Location
Fig. 4

Total NF heat fluxes of the three-body system for body 2 being AMDHMs, vacuum, and SiC NWs as a function of t2

Grahic Jump Location
Fig. 3

Tunneling probabilities: (a) ξ12p, (b) ξ12s, (d) ξ23p, (e) ξ23s; and the transmission coefficients of body 2: (c) τ2p and (f) τ2s. The lines denote the light line in vacuum.

Grahic Jump Location
Fig. 2

(a) Spectral NF heat fluxes of three-body system q and qvac with body 2 being AMDHMs and vacuum, and the corresponding fluxes for p and s polarizations. (b) Spectral contributions of the front and rear two bodies for p and s polarizations: q12p, q12s, q23p, and q23s. Hyperbolic regions are marked with the same color as in Fig. 1(b). qBB denotes the heat flux spectrum between two blackbodies at 350 K and 300 K.

Grahic Jump Location
Fig. 1

(a) Schematic illustration of the three-body system. (b) Curve plots of the real parts of the components of permittivity tensor ε̂ and permeability tensor μ̂ with filling ratio f = 0.4. The gray and yellow areas represent the hyperbolic regions with εO > 0 and εO < 0 for p polarization, while the pink and cyan areas denote the hyperbolic regions with μO > 0 and μO < 0 for s polarization, respectively.

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