Linear analysis of an oscillatory instability of radiative shock waves

Linear analysis of an oscillatory instability of radiative shock waves
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辐射冲击波振荡不稳定性的线性分析

DOI:
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发表时间:
1982
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通讯作者:
J. Imamura
J. Imamura
中科院分区:
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文献类型:
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作者:
R. Chevalier;J. Imamura

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本文给出了具有冷却作用的平面辐射激波的线性稳定性分析。lambda..比例T/sup.. cap alpha../.我们研究了一个振荡不稳定性,发现在数值计算中发现的吸积到退化的矮星Langer,Chanmugam,和Sznov。我们的分析表明,多模式的振荡是不稳定的。阿尔法帽。<或近似。=0.4(对于基模),阿尔法帽。<或近似。对于第一和第二泛音模式=0.8。对于基模,振荡频率为0.3 x/sub s/0/u/sub in/,对于第一泛音模,振荡频率的范围为0.6 x/sub s/0/u/sub in/至1.0 x/sub s/0/u/sub in/。阿尔法帽。在-1和2之间,其中x/sub s/0是结果应该既适用于致密物体上的吸积,也适用于星际介质中的辐射激波。这种不稳定性可以解释为什么稳态激波辐射模型不能再现旧超新星遗迹和赫比格-哈罗天体的某些观测结果。
We present a linear stability analysis of a planar radiative shock with cooling function ..lambda..proportionalT/sup ..cap alpha../. We investigate an oscillatory instability similar to that found in numerical calculations of accretion onto degenerate dwarfs by Langer, Chanmugam, and Shaviv. Our analysis shows that multiple modes of oscillations are unstable for ..cap alpha..< or approx. =0.4 for the fundamental mode and ..cap alpha..< or approx. =0.8 for the first and second overtone modes. The oscillation frequency is 0.3 x/sub s/0/u/sub in/ for the fundamental mode and ranges from 0.6 x/sub s/0/u/sub in/ to 1.0 x/sub s/0/u/sub in/ for the first overtone mode for ..cap alpha.. between -1 and 2, where x/sub s/0 is the results should be applicable both to accretion onto compact objects and to radiative shock waves in the interstellar medium. The instability may explain the inability of the steady state shock wave emission models to reproduce certain observations of old supernova remnants and Herbig-Haro objects.