Theoretical model of radiation heat wave in two-dimensional cylinder with sleeve

Xiao Cheng-Jian; Meng Guang-Wei; Zhao Ying-Kui

doi:10.1063/5.0119240

Volume 8 Issue 2

Mar. 2023

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Xiao Cheng-Jian, Meng Guang-Wei, Zhao Ying-Kui. Theoretical model of radiation heat wave in two-dimensional cylinder with sleeve[J]. Matter and Radiation at Extremes, 2023, 8(2): 026901. doi: 10.1063/5.0119240

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Xiao Cheng-Jian, Meng Guang-Wei, Zhao Ying-Kui. Theoretical model of radiation heat wave in two-dimensional cylinder with sleeve[J]. Matter and Radiation at Extremes, 2023, 8(2): 026901. doi: 10.1063/5.0119240

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Theoretical model of radiation heat wave in two-dimensional cylinder with sleeve

doi: 10.1063/5.0119240

Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

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Corresponding author: a)Authors to whom correspondence should be addressed: meng_guangwei@iapm.ac.cn and zhao_yingkui@iapm.ac.cn
Received Date: 2022-08-08
Accepted Date: 2023-02-01

Available Online: 2023-03-01

Publish Date: 2023-03-01

Abstract

Abstract

A semi-analytical model is constructed to investigate two-dimensional radiation heat waves (Marshak waves) in a low-Z foam cylinder with a sleeve made of high-Z material. In this model, the energy loss to the high-Z wall is regarded as the primary two-dimensional effect and is taken into account via an indirect approach in which the energy loss is subtracted from the drive source and the wall loss is ignored. The interdependent Marshak waves in the low-Z foam and high-Z wall are used to estimate the energy loss. The energies and the heat front position calculated using the model under typical inertial confinement fusion conditions are verified by simulations. The validated model provides a theoretical tool for studying two-dimensional Marshak waves and should be helpful in providing further understanding of radiation transport.

Conflict of Interest
The authors have no conflicts to disclose.
Cheng-Jian Xiao: Investigation (equal); Methodology (equal). Guang-Wei Meng: Investigation (equal); Methodology (equal). Ying-Kui Zhao: Investigation (equal); Methodology (equal).
Author Contributions
The data and materials used in the study are available from the corresponding authors on reasonable request.

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References(42)

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