Collisionless ion modeling in Hall thrusters: Analytical axial velocity distribution function and heat flux closures
Collisionless ion modeling in Hall thrusters: Analytical axial velocity distribution function and heat flux closures
复制标题
霍尔推进器中的无碰撞离子建模：解析轴向速度分布函数和热通量闭合
DOI：
10.1063/5.0006258
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发表时间：
2020
影响因子：
2.2
通讯作者：
T. Magin
中科院分区：
文献类型：
--
作者：
S. Boccelli;Thomas Charoi;A. Alvarez;P. Chabert;A. Bourdon;T. Magin
分析了无碰撞霍尔推力器放电离子轴向速度分布函数的成因。在离子产生单能和稳态的简化假设下，应用Tonks-Langmuir理论，从Vlasov方程得到了VDF的解析形式。从Vlasov方程推导出等效的一维非定常各向异性矩方程组，并制定了简单的唯象封闭，假设离子VDF的多项式形状。的分析结果和各向异性矩方程进行比较碰撞PIC模拟，采用零热通量（欧拉方程）或多项式VDF封闭的热通量。然后将分析离子VDF及其矩与实验测量值进行比较。
The genesis of the ion axial velocity distribution function (VDF) is analyzed for collisionless Hall thruster discharges. An analytical form for the VDF is obtained from the Vlasov equation, by applying the Tonks-Langmuir theory in the thruster channel, under the simplifying assumptions of monoenergetic creation of ions and steady state. The equivalent set of 1D unsteady anisotropic moment equations is derived from the Vlasov equation, and simple phenomenological closures are formulated, assuming a polynomial shape for the ions VDF. The analytical results and the anisotropic moment equations are compared to collisionless PIC simulations, employing either a zero heat flux (Euler-like equations) or the polynomial-VDF closure for the heat flux. The analytical ion VDF and its moments are then compared to experimental measurements.
影响因子：
2.2
作者：
M. Turner;A. Derzsi;Z. Donkó;D. Eremin;S. Kelly;T. Lafleur;T. Mussenbrock
通讯作者：
M. Turner;A. Derzsi;Z. Donkó;D. Eremin;S. Kelly;T. Lafleur;T. Mussenbrock