Collisionless ion modeling in Hall thrusters: Analytical axial velocity distribution function and heat flux closures

被引：6

作者：

Boccelli, S. ^{[1
,3
]}

Charoy, T. ^{[2
]}

Alvarez Laguna, A. ^{[2
]}

Chabert, P. ^{[2
]}

Bourdon, A. ^{[2
]}

Magin, T. E. ^{[3
]}

机构：

[1] Politecn Milan, Dept Aerosp Sci & Technol, Via La Masa 34, I-20156 Milan, Italy

[2] Ecole Polytech, Lab Phys Plasmas, Route Saclay, F-91128 Palaiseau, France

[3] von Karman Inst Fluid Dynam, Aeronaut & Aerosp Dept, Waterloosesteenweg 72, B-1640 Rhode St Genese, Belgium

来源：

PHYSICS OF PLASMAS | 2020年 / 27卷 / 07期

关键词：

PLASMA;

D O I：

10.1063/5.0006258

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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 ion VDF. The analytical results and the anisotropic moment equations are compared to collisionless particle-in-cell 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.

引用

页数：15

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