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MHD激波解的讨论
引用本文:刘绍亮,胡友秋.MHD激波解的讨论[J].地球物理学报,1996,39(6):721-728.
作者姓名:刘绍亮  胡友秋
作者单位:中国科学技术大学地球和空间科学系, 合肥 230026
摘    要:从Rankine-Hugoniot关系出发,以激波切向磁场ξ、上游激波角θ和等离子体β值为参数研究各类激波解的特性及相互关系,阐明各类激波强度随介质β值的变化规律.结果指出:(1)在ξ<-1的Ⅰ型中间激波区和ξ>4的快激波区存在双解;(2)慢激波可以直接和中间激波连接,但不能和快激波直接连接;(3)各类激波强度(用激波密度比衡量)随β值均有变化:Ⅰ型中间激波上支随β值增加而下降,下支则上升;Ⅰ型中间激波和慢激波都随β值增加而下降;快激波双解区上支随β值增加而下降。下支上升;快激波在1<ξ<4区间的解随β值增加而上升。

关 键 词:磁流体动力学  激波  
收稿时间:1995-09-06

DISCUSSION ON MHD SHOCK SOLUTION
LIU SHAO-LIANG, HU YOU-QIU.DISCUSSION ON MHD SHOCK SOLUTION[J].Chinese Journal of Geophysics,1996,39(6):721-728.
Authors:LIU SHAO-LIANG  HU YOU-QIU
Institution:University of Science and Technology of China, Hefei 230026, China
Abstract:Based on the Rankine-Hugoniot relations and using the tangential magnetic field ratio ξ, the shock angle θ and the ratio of gas pressure to magnetic pressure β1 as the upstream parameters, the solution properties of various types of shock and the relations between them have been discussed, the change of shock strength with plasma β value are explained too. The results show that: 1. there are two shock solutions in Ⅰ intermediate shock region(where ξ<-1).and fast shock region (wbereξ>4); 2. the slow shock can be connected with Ⅰ intermediate shock directly, but cannot be with fast shock directly; 3.the shock strength(represents with shock density ratio) variates with β1: the upper branch solution ofⅠ intermediate shock decreases with β1, and the lower branch increases; the strength of Ⅰ intermediate shock and slow shock weaken with β1; the upper branch solution of fast shock for ξ>4decreases with β1,and the lower branch increases, the fast shock for 1<ξ<4 increases with β1 also.
Keywords:Magnetohydrodynamics  Shock wave    
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