2012
DOI: 10.1063/1.4730962
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Thermal conductivity modeling of periodic porous silicon with aligned cylindrical pores

Abstract: We present a frequency-dependent phonon Boltzmann transport equation (BTE) solver to study phonon transport in arbitrary geometries. For composite and porous structures, most simulations adopted either gray-medium approximation or geometric simplification in phonon BTE model. To show the importance of considering the frequency-dependent phonon transport, transverse thermal transport in periodic porous silicon (PS) with aligned square-cylindrical pores is investigated by the present frequency-dependent phonon B… Show more

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Cited by 35 publications
(25 citation statements)
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References 30 publications
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“…Recent works 17,22,23 show that the frequency-dependent model has higher accuracy than the gray model in which the average phonon properties are used to represent the integral behaviour of phonons with different frequencies and polarizations. Therefore, the present predictions of thermal conductivity for the two-dimensional and three-dimensional nanoporous silicon films are based on the frequency-dependent model.…”
Section: Theoretical Model and Simulationmentioning
confidence: 99%
See 1 more Smart Citation
“…Recent works 17,22,23 show that the frequency-dependent model has higher accuracy than the gray model in which the average phonon properties are used to represent the integral behaviour of phonons with different frequencies and polarizations. Therefore, the present predictions of thermal conductivity for the two-dimensional and three-dimensional nanoporous silicon films are based on the frequency-dependent model.…”
Section: Theoretical Model and Simulationmentioning
confidence: 99%
“…19,[22][23][24] little attention has been paid to the thermal conductivity of thin film with pores of other geometries, such as triangle and hexagon. In addition, we find that the effects of porosity and interface area on thermal conductivity are studied dependently in most previous studies 19,22,24 in which the interface area and the porosity changed at the same time.…”
Section: Introductionmentioning
confidence: 99%
“…The TC of these electrochemically etched materials is obtained through a 3-x technique. Circular cylinders are mentioned in a study of Song and Chen, 35 for porous diameter ranging from 1.9 to 10.9 lm and film widths in the range of [4.45-7.42] lm leading to a porosity of [17][18][19][20][21][22][23][24][25][26]%. Hopkins et al 12 found a great reduction of the TC for circular cylindrical pores, one order of magnitude smaller, with diameters in the range of [300-400] nm and porosities similar to those stated previously.…”
Section: Nanoporous Modelsmentioning
confidence: 99%
“…Among them, they are the MC method proposed byHao et al 22 or the DOM approaches by Romano et al23 and Hsieh et al24 But also hybrid methods lying on lattice dynamics and continuum mechanics were…”
mentioning
confidence: 99%
“…Therefore, an extra low j L can be anticipated if these long-wavelength phonons had been scattered in filled CoSb 3 . Recently, theoretical and experimental studies [17][18][19][20][21][22][23] suggested that porous solids are attractive for TE application due to the remarkable reduction in j induced by the pores. The enhanced scattering of long-wavelength phonons induced by porous structures was thought to be a new approach to further remarkably decrease the j L .…”
mentioning
confidence: 99%