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A Novel Monte Carlo Method to Calculate the Thermal Conductivity in Nanoscale Thermoelectric Phononic Crystals Based on Universal Effective Medium Theory

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  • Zhizhong Yan

    (School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China
    Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing 100081, China)

  • Ercong Cheng

    (School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China)

Abstract

Thermal reduction by enhancing heat-generation phonon scattering can improve thermoelectric performance. In this paper, the phonon transport subjected to internal heat generation in two-dimensional nanoscale thermoelectric phononic crystals is investigated by a novel Monte Carlo method based on the universal effective medium theory, called the MCBU method. The present approach is validated. Compared with the universal effective medium theory method, the MCBU method is easier to implement. More importantly, the deviation of the computation time between the two methods can be ignored. With almost the same time cost, the present method can accurately calculate the effective thermal conductivity of complex geometric structures that cannot be calculated by the effective medium theory. The influences of porosity, temperature, pore shape and material parameters on thermal conductivity are discussed in detail. This study offers useful methods and suggestions for fabricating these materials with heat isolation and reduction.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1208-:d:1084709
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    References listed on IDEAS

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    1. 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.
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