发表机构
Indian Institute of Technology Delhi; Asia Pacific Center for Theoretical Physics（印度德里理工学院; 亚太理论物理中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对小体积等离子体系统（SVPS）实验，开发了磁化等离子体流动模型，通过磁场坐标系拆分方程并结合实验数据验证，为研究圆柱对称磁场中磁化等离子体动力学提供了框架。
AI 中文摘要
为研究小体积等离子体系统（SVPS）实验中的流动动力学，本文开发了一种磁化等离子体的流动模型。SVPS的实验条件要求该模型描述稳态、碰撞、准中性、轴对称等离子体，其中离子为冷离子，电子为等温且处于热平衡状态，遵循玻尔兹曼关系。在沿磁场流动的等离子体中，离子沿磁场线的速度远大于垂直于磁场线的速度；当将流动方程转换为以磁场线平行和垂直方向为坐标轴的磁场坐标系（MCS）时，这一特性使得相关变量可进行独特排序。MCS中流动变量的排序允许进一步简化流动方程，将其拆分为一组简化的方程。SVPS的实验数据被用于提供必要的边界条件，以在MCS的不同磁场线上的磁场坐标网格上初始化和求解简化流动方程。本研究的一个重要方面是验证用于推导简化流动方程的拆分方案，这通过将模型方程的预测结果与实验数据进行深入对比实现。获得的数值结果与SVPS观测结果吻合良好，并经过了严格讨论。本文开发的模型为探索给定圆柱对称磁场构型中的磁化等离子体动力学提供了框架，还可进一步扩展至更复杂的构型。
英文摘要
A new formalism for modelling a flowing plasma in a magnetic field, having potential for application in plasma thrusters, materials processing, space plasmas, etc., is developed. In this framework, the plasma expands downstream from the source region into an expansion chamber along an axisymmetric magnetic field. For plasma flowing along a magnetic field, the ion velocity parallel to the magnetic field lines is much greater than the perpendicular velocity. This characteristic permits a unique ordering of the relevant flow variables when the flow equations are transformed into a magnetic coordinate system (MCS), in which the coordinate axes are parallel and perpendicular to the field lines. The ordering of the flow variables in the MCS further simplifies the flow equations by allowing them to be split into sets of reduced equations. As a specific implementation, the proposed formalism was validated by using data (for boundary conditions) from a small volume plasma system experiment (Ganguli et al 2016 Plasma Sources Sci. Technol. 25 025026). The model shows favourable agreement with the experiments and is used to predict various physical quantities relevant for applications. The corresponding physical implications are discussed in detail.
Comments23 pages, 31 figures
