Generalized parallel heat transport equations in collisional to weakly collisional plasmas
Generalized parallel heat transport equations in collisional to weakly collisional plasmas
复制标题
碰撞到弱碰撞等离子体中的广义并行热传输方程
DOI：
10.1063/1.866940
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发表时间：
1988
期刊：
影响因子：
--
通讯作者：
F. Najmabadi
中科院分区：
文献类型：
--
作者：
E. Zawaideh;N. S. Kim;F. Najmabadi
导出了一组新的两流体热输运方程，该方程从碰撞极限到弱碰撞极限都是有效的。从磁通坐标系下的回旋运动方程出发，导出了描述等离子体能量沿空间和时间相关磁场的场线沿着输运的矩方程组。对离子分布函数的各向异性或碰撞性没有限制。在高碰撞极限下，这些方程简化为经典的热传导方程（例如，Spitzer和Harm或Braginskii），而在弱碰撞极限，他们描述了饱和热通量（通量限制）。数值算例表明，在平均自由程λ与温度梯度尺度长度LT之比趋于零的极限范围内，新方程的解与传统方程的解没有明显差别。当λ/LT→1时，传统的热传导方程.
A new set of two‐fluid heat transport equations that is valid from collisional to weakly collisional limits is derived. Starting from gyrokinetic equations in flux coordinates, a set of moment equations describing plasma energy transport along the field lines of a space‐ and time‐dependent magnetic field is derived. No restrictions on the anisotropy of the ion distribution function or collisionality are imposed. In the highly collisional limit, these equations reduce to the classical heat conduction equation (e.g., Spitzer and Harm or Braginskii), while in the weakly collisional limit, they describe a saturated heat flux (flux limited). Numerical examples comparing these equations with conventional heat transport equations show that in the limit where the ratio of the mean free path λ to the scale length of the temperature gradient LT approaches zero, there is no significant difference between the solutions of the new and conventional heat transport equations. As λ/LT→1, the conventional heat conduction e...