Issue |
Volume 11, 2019
Progress in Propulsion Physics – Volume 11
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Page(s) | 613 - 624 | |
DOI | https://doi.org/10.1051/eucass/201911613 | |
Published online | 08 February 2019 |
Analytical models of unstable rarefied gas flow in channels and nozzles: simulation and comparison
Peter the Great St. Petersburg Polytechnical University, Department of Mathematics 29 Polytechnicheskaya Str., St. Petersburg 195251, Russia
Three different analytical models of unstable rarefied gas flows in channels and nozzles are compared using numerical simulations by MonteCarlo method. Numerical results have demonstrated the chaotic behavior of constructed nonlinear dynamic system and the limit properties of corresponding trajectories, attractors, and bifurcations of rarefied gas flows in channels. Flow conditions satisfying the experimental requirements are indicated where the instability of considered type can be detected. The advantages and the drawbacks of the considered approximations are detected and the features of obtained solutions are indicated. Recommendations are given for applying the results in practical applications and in numerical calculations of rarefied gas flows.
© The Authors, published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.