Abstract
An analytical model for the anomalous electron collision frequency is proposed to predict the cross-field mobility of electrons in partially magnetized E × B plasma devices. The proposed model can be implemented through a dimensional analysis based on the electron momentum equations perpendicular to the magnetic field. To test the validity of the proposed method, it is applied to a 1D steady fluid analysis for a Hall thruster. The results show that compared to the Bohm diffusion model, the proposed model can yield more physically appropriate prediction results in terms of axial distributions for the anomalous electron collision frequency and azimuthal electron mean velocity.
Highlights
The fluid approach can enable prompt evaluations regarding the macroscopic performance for a given geometry and operational parameters of partially magnetized E × B plasma devices such as Hall thrusters for space propulsion
This paper presents an analytical model for the anomalous electron collision frequency derived based on a dimensional analysis
An analytical model for the anomalous electron collision frequency in partially magnetized E × B plasmas is proposed through a dimensional analysis, and the results of the initial validity test are presented by performing a 1D steady fluid analysis for a Hall thruster
Summary
The fluid approach can enable prompt evaluations regarding the macroscopic performance for a given geometry and operational parameters of partially magnetized E × B plasma devices such as Hall thrusters for space propulsion. This approach is of significance, especially for the system-level design in the initial development stage of a new device, which involves the exploration of a large design space.. Certain researchers attempted to model the physics of the anomalous electron collision frequency by using an approach similar to that pertaining to neutral fluid turbulence modeling.. It is shown later that one of the advantages of the proposed model is that it reduces the number of empirical parameters required to match the experimental results from 2 to 1 when compared to the Bohm diffusion model
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