Stagnation probe measurements in flowing plasmas

TLDR: In this article, the authors measured the ion current to a flat stagnation probe in a laboratory flame of known ionization density and showed good agreement with the calculated sheath/convection currents.

Abstract: Measurements of the ion current to a circular flat stagnation probe have been performed in a laboratory flame of known ionization density. The measurements were performed over an ionization density range from 1015 to 1018 m−3, probe bias voltages from 5 to 400 V and probe/flame velocities from 3 to 19 m s−1. The measurements show good agreement with the calculated sheath/convection currents: I=(VR)0·8 (neeuinfinity)0·6π(60μ)0·4 (mks) for the case where the sheath is thick compared with the probe, and I=(72R8ne3e3uinfinity3 V2μ0πa−3)0·25 (mks) for the case where the sheath is thin compared with the probe. Here R is the radius of the flat conduction face of the probe, ne the ionization density, e the electronic charge, μ the ion mobility, uinfinity the plasma flow velocity relative to the probe, far from the probe, V the probe bias voltage, 0 the permittivity of free space, and α the radius of the insulator surrounding the conducting face of the probe.