Electron Losses in Hypersonic Flows

TL;DR

This paper presents a comprehensive numerical study of electron gains and losses in hypersonic flows, emphasizing the importance of plasma sheath coupling, electron temperature, and ambipolar diffusion in predicting plasma density around hypersonic vehicles.

Contribution

It introduces advanced numerical methods to accurately model plasma sheaths and their coupling with quasi-neutral plasma flows in hypersonic conditions, a novel approach in this field.

Findings

Electron loss to surfaces due to catalyticity dominates over plasma dissociative recombination.

Electron cooling from sheaths significantly impacts electron temperature and loss processes.

Surface catalyticity effects are more pronounced at high altitudes, low Mach numbers, or with sharp leading edges.

Abstract

The first comprehensive study of electron gains and losses in hypersonic air flows including the full coupling between the non-neutral plasma sheaths and the quasi-neutral plasma flow is here presented. Such is made possible by the use of advanced numerical methods that overcome the stiffness associated with the plasma sheaths. The coupling between the sheaths, the electron temperature in non-equilibrium, and the ambipolar diffusion within the quasi-neutral plasma flow is found to be critical to predict accurately electron losses and, thus, plasma density around hypersonic vehicles. This is because electron cooling coming from the non-neutral sheaths affects significantly electron temperature everywhere in the plasma and, therefore, the electron-temperature-dependent loss processes of ambipolar diffusion and dissociative recombination. Results obtained show that electron loss to the surface due to catalyticity dominates over electron loss within the plasma due to dissociative recombination either (i) at high altitude where the dynamic pressure is low, or (ii) at low Mach number, or (iii) when the vehicle has a sharp leading edge.