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Title: Conditions for supersonic bent Marshak waves

Abstract

Supersonic radiation diffusion approximation is an useful method to study the radiation transportation. Considering the 2-d Marshak theory, and an invariable source temperature, conditions for supersonic radiation diffusion are proved to be coincident with that for radiant flux domination in the early time when √(ε)x{sub f}/L≪1. However, they are even tighter than conditions for radiant flux domination in the late time when √(ε)x{sub f}/L≫1, and can be expressed as M>4(1+ε/3)/3 and τ>1. A large Mach number requires the high temperature, while the large optical depth requires the low temperature. Only when the source temperature is in a proper region the supersonic diffusion conditions can be satisfied. Assuming a power-low (in temperature and density) opacity and internal energy, for a given density, the supersonic diffusion regions are given theoretically. The 2-d Marshak theory is proved to be able to bound the supersonic diffusion conditions in both high and low temperature regions, however, the 1-d theory only bounds it in low temperature region. Taking SiO{sub 2} and the Au, for example, these supersonic regions are shown numerically.

Authors:
; ; ; ; ;  [1]
  1. Key Laboratory of Pulsed Power, Institute of Fluid Physics, CAEP, P. O. Box 919-108, Mianyang 621999 (China)
Publication Date:
OSTI Identifier:
22408249
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 3; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; DIFFUSION; ENERGY DENSITY; GOLD; MACH NUMBER; SILICON OXIDES; SUPERSONIC FLOW; TEMPERATURE RANGE 0065-0273 K; TEMPERATURE RANGE 0400-1000 K

Citation Formats

Xu, Qiang, E-mail: xuqiangxu@pku.edu.cn, Ren, Xiao-dong, Li, Jing, Dan, Jia-kun, Wang, Kun-lun, and Zhou, Shao-tong. Conditions for supersonic bent Marshak waves. United States: N. p., 2015. Web. doi:10.1063/1.4916502.
Xu, Qiang, E-mail: xuqiangxu@pku.edu.cn, Ren, Xiao-dong, Li, Jing, Dan, Jia-kun, Wang, Kun-lun, & Zhou, Shao-tong. Conditions for supersonic bent Marshak waves. United States. doi:10.1063/1.4916502.
Xu, Qiang, E-mail: xuqiangxu@pku.edu.cn, Ren, Xiao-dong, Li, Jing, Dan, Jia-kun, Wang, Kun-lun, and Zhou, Shao-tong. Sun . "Conditions for supersonic bent Marshak waves". United States. doi:10.1063/1.4916502.
@article{osti_22408249,
title = {Conditions for supersonic bent Marshak waves},
author = {Xu, Qiang, E-mail: xuqiangxu@pku.edu.cn and Ren, Xiao-dong and Li, Jing and Dan, Jia-kun and Wang, Kun-lun and Zhou, Shao-tong},
abstractNote = {Supersonic radiation diffusion approximation is an useful method to study the radiation transportation. Considering the 2-d Marshak theory, and an invariable source temperature, conditions for supersonic radiation diffusion are proved to be coincident with that for radiant flux domination in the early time when √(ε)x{sub f}/L≪1. However, they are even tighter than conditions for radiant flux domination in the late time when √(ε)x{sub f}/L≫1, and can be expressed as M>4(1+ε/3)/3 and τ>1. A large Mach number requires the high temperature, while the large optical depth requires the low temperature. Only when the source temperature is in a proper region the supersonic diffusion conditions can be satisfied. Assuming a power-low (in temperature and density) opacity and internal energy, for a given density, the supersonic diffusion regions are given theoretically. The 2-d Marshak theory is proved to be able to bound the supersonic diffusion conditions in both high and low temperature regions, however, the 1-d theory only bounds it in low temperature region. Taking SiO{sub 2} and the Au, for example, these supersonic regions are shown numerically.},
doi = {10.1063/1.4916502},
journal = {Physics of Plasmas},
number = 3,
volume = 22,
place = {United States},
year = {Sun Mar 15 00:00:00 EDT 2015},
month = {Sun Mar 15 00:00:00 EDT 2015}
}