论文标题
动态太阳能环的缩放定律
Scaling Laws for Dynamic Solar Loops
论文作者
论文摘要
与压力$ p $ $ e_h $相关的峰值温度$ t_m $ $ e_h $的比例法律与静态冠状冠状环的压力$ p $和长度$ l $相关。事实证明，在广泛的研究中，它们具有巨大的价值。在这里，我们将这些缩放定律扩展到{\ it动态}循环，其中焓通量对能量平衡变得重要，并研究以向上焓流为特征的冲动加热/填充。我们表明，对于以碰撞为主的热传导，当辐射损失尺度为$ t^{ - 1/2} $时，缩放定律的功能依赖性与静态情况相同，但比例常数取决于该流量的马赫数$ m $。对MACH数字的依赖性使得低至中等马赫数流的缩放定律几乎与静态情况没有区别。然而，当热传导受到湍流过程的限制时，散射平均自由路径的依赖性较弱（因此热传导系数）对温度的依赖性导致限制了由Corona和Chromosphere之间的热传导驱动的返回焓通量的限制MACH。
The scaling laws which relate the peak temperature $T_M$ and volumetric heating rate $E_H$ to the pressure $P$ and length $L$ for static coronal loops were established over 40 years ago; they have proved to be of immense value in a wide range of studies. Here we extend these scaling laws to {\it dynamic} loops, where enthalpy flux becomes important to the energy balance, and study impulsive heating/filling characterized by upward enthalpy flows. We show that for collision-dominated thermal conduction, the functional dependencies of the scaling laws are the same as for the static case, when the radiative losses scale as $T^{-1/2}$, but with a different constant of proportionality that depends on the Mach number $M$ of the flow. The dependence on the Mach number is such that the scaling laws for low to moderate Mach number flows are almost indistinguishable from the static case. When thermal conduction is limited by turbulent processes, however, the much weaker dependence of the scattering mean free path (and hence thermal conduction coefficient) on temperature leads to a limiting Mach number for return enthalpy fluxes driven by thermal conduction between the corona and chromosphere.
