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A detailed study on phonon transport in thin silicon membranes with phononic crystal nanostructures

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  • Liang, Qi
  • He, Ya-Ling
  • Ren, Qinlong
  • Zhou, Yi-Peng
  • Xie, Tao

Abstract

A common method to improve thermoelectric performance is to reduce thermal conductivity by enhancing phonon scattering. In this paper, a frequency-dependent phonon radiative transport equation (PRTE) solver, based on the discrete ordinates method, is developed to simulate phonon transport in thin silicon membranes with phononic crystal nanostructures. The influence of geometric parameters on phonon transport is discussed in detail. Besides, a nonlinear regression model is attained for predicting the thermal conductivity of thin silicon membranes with phononic crystal nanostructures using the non-linear least-squares method. The results indicate that thermal conductivity is reduced by phononic crystal nanostructures mainly due to the back scattering of phonons with pore boundaries, and phonons with larger mean free path have stronger back scattering. When the pore placement is fixed, pore configuration affects phonon transport in thin silicon membranes with phononic crystal nanostructures. In addition, thermal conductivity is primarily controlled by three geometric parameters, including r⊥, r||, and Au. Moreover, the obtained regression model reveals the relationship between thermal conductivity and geometric parameters well, which can offer useful suggestions for fabricating thin silicon membranes with low thermal conductivity.

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  • Liang, Qi & He, Ya-Ling & Ren, Qinlong & Zhou, Yi-Peng & Xie, Tao, 2018. "A detailed study on phonon transport in thin silicon membranes with phononic crystal nanostructures," Applied Energy, Elsevier, vol. 227(C), pages 731-741.
    • Handle: RePEc:eee:appene:v:227:y:2018:i:c:p:731-741
    DOI: 10.1016/j.apenergy.2017.07.083
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    1. Zhou, Yi-Peng & He, Ya-Ling & Qiu, Yu & Ren, Qinlong & Xie, Tao, 2017. "Multi-scale investigation on the absorbed irradiance distribution of the nanostructured front surface of the concentrated PV-TE device by a MC-FDTD coupled method," Applied Energy, Elsevier, vol. 207(C), pages 18-26.
    2. Qiu, Yu & He, Ya-Ling & Wu, Ming & Zheng, Zhang-Jing, 2016. "A comprehensive model for optical and thermal characterization of a linear Fresnel solar reflector with a trapezoidal cavity receiver," Renewable Energy, Elsevier, vol. 97(C), pages 129-144.
    3. Zhang, Xiuqin & Liu, Huiying & Ni, Meng & Chen, Jincan, 2015. "Performance evaluation and parametric optimum design of a syngas molten carbonate fuel cell and gas turbine hybrid system," Renewable Energy, Elsevier, vol. 80(C), pages 407-414.
    4. Li, Ming-Jia & Song, Chen-Xi & Tao, Wen-Quan, 2016. "A hybrid model for explaining the short-term dynamics of energy efficiency of China’s thermal power plants," Applied Energy, Elsevier, vol. 169(C), pages 738-747.
    5. Wang, Yuan & Su, Shanhe & Liu, Tie & Su, Guozhen & Chen, Jincan, 2015. "Performance evaluation and parametric optimum design of an updated thermionic-thermoelectric generator hybrid system," Energy, Elsevier, vol. 90(P2), pages 1575-1583.
    6. Qiu, Yu & He, Ya-Ling & Cheng, Ze-Dong & Wang, Kun, 2015. "Study on optical and thermal performance of a linear Fresnel solar reflector using molten salt as HTF with MCRT and FVM methods," Applied Energy, Elsevier, vol. 146(C), pages 162-173.
    7. Bader, Roman & Pedretti, Andrea & Barbato, Maurizio & Steinfeld, Aldo, 2015. "An air-based corrugated cavity-receiver for solar parabolic trough concentrators," Applied Energy, Elsevier, vol. 138(C), pages 337-345.
    8. Cheng, Z.D. & He, Y.L. & Cui, F.Q. & Du, B.C. & Zheng, Z.J. & Xu, Y., 2014. "Comparative and sensitive analysis for parabolic trough solar collectors with a detailed Monte Carlo ray-tracing optical model," Applied Energy, Elsevier, vol. 115(C), pages 559-572.
    9. Daabo, Ahmed M. & Mahmoud, Saad & Al-Dadah, Raya K., 2016. "The optical efficiency of three different geometries of a small scale cavity receiver for concentrated solar applications," Applied Energy, Elsevier, vol. 179(C), pages 1081-1096.
    10. Nam Joong Jeon & Jun Hong Noh & Woon Seok Yang & Young Chan Kim & Seungchan Ryu & Jangwon Seo & Sang Il Seok, 2015. "Compositional engineering of perovskite materials for high-performance solar cells," Nature, Nature, vol. 517(7535), pages 476-480, January.
    11. Du, Shen & Ren, Qinlong & He, Ya-Ling, 2017. "Optical and radiative properties analysis and optimization study of the gradually-varied volumetric solar receiver," Applied Energy, Elsevier, vol. 207(C), pages 27-35.
    12. Daabo, Ahmed M. & Mahmoud, Saad & Al-Dadah, Raya K., 2016. "The effect of receiver geometry on the optical performance of a small-scale solar cavity receiver for parabolic dish applications," Energy, Elsevier, vol. 114(C), pages 513-525.
    13. Singh, Panna Lal & Sarviya, R.M. & Bhagoria, J.L., 2010. "Thermal performance of linear Fresnel reflecting solar concentrator with trapezoidal cavity absorbers," Applied Energy, Elsevier, vol. 87(2), pages 541-550, February.
    14. He, Ya-Ling & Xiao, Jie & Cheng, Ze-Dong & Tao, Yu-Bing, 2011. "A MCRT and FVM coupled simulation method for energy conversion process in parabolic trough solar collector," Renewable Energy, Elsevier, vol. 36(3), pages 976-985.
    15. Cheng, Ze-Dong & He, Ya-Ling & Du, Bao-Cun & Wang, Kun & Liang, Qi, 2015. "Geometric optimization on optical performance of parabolic trough solar collector systems using particle swarm optimization algorithm," Applied Energy, Elsevier, vol. 148(C), pages 282-293.
    16. Qiu, Yu & He, Ya-Ling & Li, Peiwen & Du, Bao-Cun, 2017. "A comprehensive model for analysis of real-time optical performance of a solar power tower with a multi-tube cavity receiver," Applied Energy, Elsevier, vol. 185(P1), pages 589-603.
    17. Wang, Kun & He, Ya-Ling & Qiu, Yu & Zhang, Yuwen, 2016. "A novel integrated simulation approach couples MCRT and Gebhart methods to simulate solar radiation transfer in a solar power tower system with a cavity receiver," Renewable Energy, Elsevier, vol. 89(C), pages 93-107.
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    Cited by:

    1. Zhizhong Yan & Ercong Cheng, 2023. "A Novel Monte Carlo Method to Calculate the Thermal Conductivity in Nanoscale Thermoelectric Phononic Crystals Based on Universal Effective Medium Theory," Mathematics, MDPI, vol. 11(5), pages 1-15, March.

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