The structure of magneto-hydrodynamic shock waves

The structure of magneto-hydrodynamic shock waves
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磁流体动力冲击波的结构

DOI:
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发表时间:
1955
期刊:
Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences
影响因子:
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通讯作者:
W. Marshall
W. Marshall
中科院分区:
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文献类型:
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作者:
W. Marshall

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推导了描述磁流体动力冲击详细结构的方程,并讨论了其在高导电性和低导电性特殊情况下的解。对于高导电性,激波前有几个平均自由路径的宽度。对于低电导率,如果初始磁场小于某一临界值,在剧烈冲击之前会有一个宽的区域,其中磁场、速度和温度变化缓慢;如果场大于这个临界值,则不会发生剧烈的冲击,并且所有变量在较宽的区域内变化缓慢。由于霍尔效应,一个小的双层电荷层在激波前建立起来。
The equations describing the detailed structure of magneto-hydrodynamic shocks are derived and their solutions discussed in the special cases of high or low electrical conductivity. For high conductivity the shock front has a width of several mean free paths. For low conductivity, if the initial magnetic field is smaller than a certain critical value, a sharp shock is preceded by a wide region in which the field, velocity and temperature change slowly; if the field is larger than this critical value, then no sharp shock occurs and all the variables change slowly over a wide region. A small double layer of charge is built up on the shock front as a result of the Hall effect.