I'm trying to reconstruct the density distribution of an atomic gas jet from measured projections. I want to compare my results with what is expected from jets' distributions. I found an article which shows jet density profiles for Laval and conical nozzles, but this article discusses jets with clustering. I wanted to know if I can rely of these profiles even in the case with no clustering ?
I'd appreciate if you can refer me to a scientific source backing the answer.
By the way, if you also know of good articles which discuss the density profiles of gas jets (with and without perturbations in the nozzle), I'd also appreciate if you can refer me to them.
Many things depends on the conditions. For supersonic nozzles you can easily construct a simple theoretical model to see the characteristics.
You can find some papers on atomic gas expansion such as
Boltzmann and master equations for magnetohydrodynamics in weakly ionized gases
G Colonna, M Capitelli
Journal of Thermophysics and Heat Transfer 22 (3), 414-423 (2008)
Self-consistent collisional-radiative model for hydrogen atoms: Atom–atom interaction and radiation transport
G Colonna, LD Pietanza, G d’Ammando
Chemical Physics 398, 37-45 (2012)
I hope it helps
The mathematic is very simple. If you do not have reactions, the solution is straightforward. I noticed I have forgotten to put the theoretical paper. I attach it to this answer. Let me know if it is clear.
Thanks for the paper. I'll try to implement the equations. If I may, I wanted to ask you some other question, as an expert in the field : I need to Abel reconstruct the measured projections of the gas jet. However, due to noise amplification of the reconstruction algorithm I want to filter first the measured data. I wonder if the frequency spectrum of the density profile function has some kind of a cut-off frequency, so that I can be assured that filtering the projection data with a wider filter won't result in any loss of information ?
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