Application Conditions of Effective Medium Theory in Near-Field Radiative Heat Transfer Between Multilayered Metamaterials

2014 ◽  
Vol 136 (9) ◽  
Author(s):  
X. L. Liu ◽  
T. J. Bright ◽  
Z. M. Zhang
Keyword(s):  
Heat Transfer ◽  
Radiative Heat Transfer ◽  
Radiative Heat ◽  
Effective Medium Theory ◽  
Near Field ◽  
Effective Medium ◽  
Medium Theory ◽  
Metal Metal ◽  
Doped Silicon ◽  
Silicon And Germanium

This work addresses the validity of the local effective medium theory (EMT) in predicting the near-field radiative heat transfer between multilayered metamaterials, separated by a vacuum gap. Doped silicon and germanium are used to form the metallodielectric superlattice. Different configurations are considered by setting the layers adjacent to the vacuum spacer as metal–metal (MM), metal–dielectric (MD), or dielectric–dielectric (DD) (where M refers to metallic doped silicon and D refers to dielectric germanium). The calculation is based on fluctuational electrodynamics using the Green's function formulation. The cutoff wave vectors for surface plasmon polaritons (SPPs) and hyperbolic modes are evaluated. Combining the Bloch theory with the cutoff wave vector, the application condition of EMT in predicting near-field radiative heat transfer is presented quantitatively and is verified by exact calculations based on the multilayer formulation.

Near-Field Radiative Heat Transfer Between Graphene/Silicon Carbide Multilayers

2018 ◽  
Vol 140 (7) ◽  
Author(s):  
Liang-Ying Zhong ◽  
Qi-Mei Zhao ◽  
Tong-Biao Wang ◽  
Tian-Bao Yu ◽  
Qing-Hua Liao ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Silicon Carbide ◽  
Radiative Heat Transfer ◽  
Radiative Heat ◽  
Chemical Potential ◽  
Effective Medium Theory ◽  
Near Field ◽  
Transfer Characteristic ◽  
Transfer Coefficients ◽  
Medium Theory

Hyperbolic metamaterial (HMM) alternately stacked by graphene and silicon carbide (SiC) is proposed to theoretically study near-field radiative heat transfer. Heat transfer coefficients (HTCs) are calculated using the effective medium theory (EMT). We observe that HMMs can exhibit better heat transfer characteristic than graphene-covered SiC bulks when appropriate SiC thickness and chemical potentials of graphene are selected. Transfer matrix method (TMM) is also employed to calculate HTC between HMMs with thicker SiC, given the invalidity of EMT in this case. We deduce that with increasing SiC thickness, HTC first increases rapidly and then decreases slowly when it reaches maximum value. HTC is high for graphene with small chemical potential. Results may benefit applications of thermophotovoltaic devices.

scholarly journals Near-Field Heat Transfer between Multilayer Hyperbolic Metamaterials

2017 ◽  
Vol 72 (2) ◽  
pp. 115-127 ◽  
Author(s):  
Svend-Age Biehs ◽  
Philippe Ben-Abdallah
Keyword(s):  
Heat Transfer ◽  
Radiative Heat ◽  
Effective Medium Theory ◽  
Near Field ◽  
Single Layer ◽  
Exact Results ◽  
Medium Theory ◽  
Hyperbolic Metamaterials ◽  
Surface Modes ◽  
The Impact

AbstractWe review the near-field radiative heat flux between hyperbolic materials focusing on multilayer hyperbolic meta-materials. We discuss the formation of the hyperbolic bands, the impact of ordering of the multilayer slabs, as well as the impact of the first single layer on the heat transfer. Furthermore, we compare the contribution of surface modes to that of hyperbolic modes. Finally, we also compare the exact results with predictions from effective medium theory.

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