中国物理B ›› 2007, Vol. 16 ›› Issue (1): 193-199.doi: 10.1088/1009-1963/16/1/033

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Characteristic parameters of diffusive supersonic radiation transport in low density materials

江少恩, 杨家敏, 郑志坚, 丁永坤   

  1. National Key Laboratory of Laser Fusion, Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang 621900, China
  • 收稿日期:2005-08-08 修回日期:2006-01-02 出版日期:2007-02-01 发布日期:2007-02-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China(Grant Nos 50528707 and 50537020).

Characteristic parameters of diffusive supersonic radiation transport in low density materials

Jiang Shao-En(江少恩)†, Yang Jia-Min(杨家敏), Zheng Zhi-Jian(郑志坚), and Ding Yong-Kun(丁永坤)   

  1. National Key Laboratory of Laser Fusion, Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang 621900, China
  • Received:2005-08-08 Revised:2006-01-02 Online:2007-02-01 Published:2007-02-01
  • Supported by:
    Project supported by the National Natural Science Foundation of China(Grant Nos 50528707 and 50537020).

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摘要： Diffusive heat waves play an important role in radiation hydrodynamics. In low density material, it may be possible that the radiative energy flux dominates the material energy flux and thus energy flow can be determined. In this paper by means of a simple algebraic method, the expressions characterizing the condition of diffusion approximation and supersonic transport of heat wave are found. In this case, the ratio of the radiative energy flux to the material energy flux is directly proportional to the product of Mach number M multiplied by optical depth \tau. And it may also be expressed by radiation temperature heating material. The material density and length may be determined in order to achieve above-mentioned conditions when the driven temperature and duration are given.

关键词: radiation transport, Mach number, optical depth, critical radiation temperature

Abstract: Diffusive heat waves play an important role in radiation hydrodynamics. In low density material, it may be possible that the radiative energy flux dominates the material energy flux and thus energy flow can be determined. In this paper by means of a simple algebraic method, the expressions characterizing the condition of diffusion approximation and supersonic transport of heat wave are found. In this case, the ratio of the radiative energy flux to the material energy flux is directly proportional to the product of Mach number M multiplied by optical depth $\tau$. And it may also be expressed by radiation temperature heating material. The material density and length may be determined in order to achieve above-mentioned conditions when the driven temperature and duration are given.

Key words: radiation transport, Mach number, optical depth, critical radiation temperature

中图分类号:  (Radiation gas dynamics)

  • 47.70.Mc
44.40.+a (Thermal radiation) 47.40.Ki (Supersonic and hypersonic flows) 47.85.Dh (Hydrodynamics, hydraulics, hydrostatics) 47.85.Kn (Hydraulic and pneumatic machinery)