Abstract
This paper presents a simple model for slightly charged gas expanding into a vacuum from a planar exit. The number density, bulk velocity, temperature, and potential at the exit are given. The electric field force is assumed weaker than the convection term and is neglected in the analysis. As such, the quasi-neutral condition is naturally adopted and the potential field is computed with the Boltzmann relation. At far field, the exit degenerates as a point source, and simplified analytical formulas for flow and electric fields are obtained. The results are generic and offer insights on many existing models in the literature. They can be used to quickly approximate the flowfield and potential distributions without numerical simulations. They can also be used to initialize a simulation. Based on these results, more advanced models may be further developed.
Highlights
Dilute neutral or slightly charged gaseous jet is a fundamental problem with many applications
For highly dilute neutral gaseous jets out of an exit, there are another two past papers [8,9] which can help understand the work presented in this work—the first one is from a planar exit, and the other is from a round exit
The work concentrated on the electric fields related with highly rarefied weakly ionized gas
Summary
Dilute neutral or slightly charged gaseous jet is a fundamental problem with many applications. Many comprehensive investigations are reported on neutral jet flows. Due to the complex physics, there are less work reports on slightly charged gaseous jets. Most work relies on numerical simulations, and theoretical models are rare. This paper aims to provide such a theoretical model with numerical validations.
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