Thermal conductivity modeling of compacted type nanocomposites

Hsieh, Tse-Yang; Yang, Jui‐Chung; Hong, Zuu‐Chang

doi:10.1063/1.3182803

Cited by 10 publications

(10 citation statements)

References 23 publications

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“…Tian and Yang compared the thermal conductivity of the compacted nanocomposites with that of the embedded nanocomposites, and show that the compacted nanocomposites have lower thermal conductivity than the embedded nanocomposites. 37 Two types of the compacted nanocomposite, i.e., the nanoparticle composite and nanowire composite were investigated by Heish et al, 40 as schematic in Fig. 11.…”

Section: Thermal Conductivity Of Nanocompositementioning

confidence: 99%

Thermal conductivity in nanostructured materials and analysis of local angle between heat fluxes

Tang

2014

Journal of Applied Physics

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The phonon Boltzmann transport equation with the frequency-dependent model is solved numerically to study the thermal conductivity in nanoporous thin film and nanocomposite. Local angle between heat fluxes, defined as the angle between the directions of heat flux component qx and the local heat flux q, is introduced. At a fixed porosity or interface area, the thermal conductivity, local angle distribution, and the average angle of the two-dimensional nanoporous thin films with circular, hexagonal, square, and triangular pores are reported, and the thermal conductivity decreases with the increase in the interface area or porosity. Furthermore, the relationship between the thermal conductivity and average angle is also discussed for the three-dimensional nanoporous thin films with aligned or staggered pores, and silicon-germanium embedded and compacted nanocomposites. All the results show that the nanostructured material with a larger average angle between heat fluxes has a lower thermal conductivity.

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Section: Thermal Conductivity Of Nanocompositementioning

confidence: 99%

Thermal conductivity in nanostructured materials and analysis of local angle between heat fluxes

Tang

2014

Journal of Applied Physics

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“…We note that this procedure can be readily extended to 3D geometries 25 and take account of the interface roughness 22 and realistic phonon dispersion 41 without much effort. We note that this procedure can be readily extended to 3D geometries 25 and take account of the interface roughness 22 and realistic phonon dispersion 41 without much effort.…”

Section: -2mentioning

confidence: 99%

“…A rigorous phonon transport solution should incorporate the phonon dispersion and the frequency-and temperature-dependence of the scattering process. Therefore, past studies on the phonon transport in nanocomposites 7,22,23,25 applied the dispersion model. 17,18 For phonon transport in nanocomposites which is dominated by interface scattering, the major contribution to the thermal conductivity reduction comes from the interface scattering.…”

Section: Introductionmentioning

confidence: 99%

Thermal conductivity modeling of circular-wire nanocomposites

Hsieh

Yang

2010

Journal of Applied Physics

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Articles you may be interested inLattice thermal conductivity of crystalline and amorphous silicon with and without isotopic effects from the ballistic to diffusive thermal transport regime A phonon Boltzmann equation solver using multiblock-structured grid system is developed and applied to study transverse thermal transport in silicon-germanium circular-wire nanocomposite ͑silicon nanowires embedded in germanium host matrix͒. Past studies usually assume geometric simplification for the circular-wire nanocomposite, so the heat transfer is actually modeled in a square-wire nanocomposite. To demonstrate geometry effect, phonon transport in both the circular-wire and square-wire nanocomposites are investigated with various wire spacings, volume fractions, and dimensions. In ballistic phonon transport, due to the smoothness of circular shape, the circular wire imposes less thermal resistance than the square wire. Nevertheless, in the geometric simplification, the wire spacing of the square-wire nanocomposite is larger than that of the circular-wire nanocomposite. The usual geometric simplification can overestimate the thermal conductivity of the circular-wire nanocomposite. The obtained results can provide essential information for the development of bulk-nanostructured thermoelectric devices.

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“…Here, the standard BE or FD equilibrium distribution, f (0) , is given by 9) where, again, θ = −1, denotes the FD statistics, θ = +1, the BE statistics and θ = 0 denotes the MB statistics.…”

Section: Semiclassical Boltzmann Ellipsoidal-statistical Kinetic Modementioning

confidence: 99%

“…It is commonly believed that this semiclassical Boltzmann equation is adequate to treat semiclassical transport phenomena in the mesoscale range. Hydrodynamic behaviour of quantum gases has been the subject of some prominent researches [3][4][5], and applications of quantum Boltzmann hydrodynamic equations have been implemented both in the analysis of electron flows in quantum semiconductor devices [6][7][8] and in the phonon energy transfer in nanocomposites [9,10]. Furthermore, as the different types of carriers may be involved simultaneously in a single problem, it is desirable to have a method that can allow them to be treated them in a unified and parallel manner.…”

Section: Introductionmentioning

confidence: 99%

Numerical solutions of the semiclassical Boltzmann ellipsoidal-statistical kinetic model equation

et al. 2014

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Computations of rarefied gas dynamical flows governed by the semiclassical Boltzmann ellipsoidalstatistical (ES) kinetic model equation using an accurate numerical method are presented. The semiclassical ES model was derived through the maximum entropy principle and conserves not only the mass, momentum and energy, but also contains additional higher order moments that differ from the standard quantum distributions. A different decoding procedure to obtain the necessary parameters for determining the ES distribution is also devised. The numerical method in phase space combines the discrete-ordinate method in momentum space and the high-resolution shock capturing method in physical space. Numerical solutions of two-dimensional Riemann problems for two configurations covering various degrees of rarefaction are presented and various contours of the quantities unique to this new model are illustrated. When the relaxation time becomes very small, the main flow features a display similar to that of ideal quantum gas dynamics, and the present solutions are found to be consistent with existing calculations for classical gas. The effect of a parameter that permits an adjustable Prandtl number in the flow is also studied.

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Thermal conductivity modeling of compacted type nanocomposites

Cited by 10 publications

References 23 publications

Thermal conductivity in nanostructured materials and analysis of local angle between heat fluxes

Thermal conductivity in nanostructured materials and analysis of local angle between heat fluxes

Thermal conductivity modeling of circular-wire nanocomposites

Numerical solutions of the semiclassical Boltzmann ellipsoidal-statistical kinetic model equation

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