ENG
РУС
Search
Menu
About the Edition
Open Access Statement
Editorial Board
Editorial Policy
Editorial Ethics
Rules for peer-review
Rules for presentation of papers
Forms of Submitted Documents
Recommendations for the Design of References to Our Journal
Editorial Staff
Information for Subscribers
Summaries of the Issue
List of Authors
Issues
Publishers license agreement
Procedure of work with personal data
Publications
2024
2023
2022
2021
2020
2019
2018
2017
2016
2015
2014
2013
2012
2011
2010
2009
2008
2007
2006
2005
2004
2003
2002
2001
Editor-in-Chief

Nikiforov
Vladimir O.
D.Sc., Prof.
Partners













































doi: 10.17586/2226-1494-2023-23-2-403-412

Gas dynamics of stationary supersonic gas jets with inert particles exhausting into a medium with low pressure

D. O. Bogdanuk, K. N. Volkov, V. N. Emelyanov,


Read the full article  ';
Article in Russian

For citation:
Bogdaniuk D.O., Volkov K.N., Emelyanov V.N., Pustovalov A.V. Gas dynamics of stationary supersonic gas jets with inert particles exhausting into a medium with low pressure. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2023, vol. 23, no. 2, pp. 403–412 (in Russian). doi: 10.17586/2226-1494-2023-23-2-403-412


Abstract
 Issues related to the development of tools for mathematical modeling of stationary supersonic flows of an ideal compressible gas with inert particles are considered. A mathematical model is constructed that describes the flow of an inviscid compressible gas with inert particles in a jet flowing from an axisymmetric nozzle into a flooded space. Provided that the flow is supersonic along one of the spatial coordinates, the Euler equations are hyperbolic along this coordinate. For numerical calculations of the gas flow field, the finite volume method and the marching method are used. For integration over the marching direction, the three-step Runge–Kutta scheme is used. The procedure for calculating the flows includes the reconstruction of the values of the desired functions on the faces of the control volumes from the average values over the control volumes and the solution of the problem of the decay of an arbitrary discontinuity (the Riemann problem). The Lagrangian method of test particles is used to describe the dispersed phase. The effects of the reverse influence of particles on the flow of the carrier gas are not taken into account. The effects of viscosity and rarefaction of the gas flow are taken into account only when the gas interacts with particles. Calculation of the trajectories of inert particles is carried out in a known flow field of the carrier gas. The motion trajectories of discrete inclusions in jet flows with strong underexpansion are presented. The influence of the particle size and the coordinates of the particle entry point into the flow on the features of their transfer by the jet stream are discussed. Efficient means of numerical simulation of stationary supersonic flows of an ideal compressible gas with particles in nozzles and jets have been developed. The calculation results are of interest for studying supersonic gas suspension flows around bodies and for calculating oblique shock waves.

Keywords: nozzle, jet, supersonic flow, rarefaction wave, particle, two-phase flow

Acknowledgements. The research was supported by the grant of the Russian Science Foundation No. 21-19-00657 https://rscf.ru/project/21-19-00657/

References
  1. Yarygin V.N., Gerasimov Y.I., Krylov A.N., Mishina L.V., Prikhodko V.G., Yarygin I.V. Gas dynamics of spacecraft and orbital stations (review). Thermophysics and Aeromechanics, 2011, vol. 18, no. 3, pp. 333–358. https://doi.org/10.1134/s0869864311030012
  2. Rudinger G. Fundamentals of Gas Particle-Flow. Amsterdam-Oxford-New York, Elsevier, 1980, 156 p.
  3. Miura H., Glass I.I. Supersonic expansion of a dusty gas around a sharp corner. Proceedings of the Royal Society of London. Series A, 1988, vol. 415, no. 1848, pp. 91–105. https://doi.org/10.1098/rspa.1988.0004
  4. Ling Y., Haselbacher A., Balachandar S. Transient phenomena in one-dimensional compressible gas-particle flows. Shock Waves, 2009, vol. 19, no. 1, pp. 67–81. https://doi.org/10.1007/s00193-009-0190-1
  5. Wu Q.-S., Zhu H., Xu Y.-H., Wang B.Y. Numerical study of shock diffraction in dusty gases. Applied Mathematics and Mechanics, 1995, vol. 16, no. 1, pp. 79–85. https://doi.org/10.1007/bf02453777
  6. Ren Z.-X., Wang B., Zhang H. Fast numerical solutions of gas-particle two-phase vacuum plumes. Advances in Mechanical Engineering, 2013, vol. 5, pp. 765627. https://doi.org/10.1155/2013/765627
  7. Molleson G.V., Stasenko A.L. Acceleration of microparticles in a gasdynamic facility with high expansion of flow. High Temperature, 2008, vol. 46, no. 1, pp. 100–107. https://doi.org/10.1134/s10740-008-1014-1
  8. Volkov K.N., Emelianov V.N., Teterina I.V., Iakovchuk M.S. Nozzle Gas Flows in Power Installations. Moscow, Fizmatlit Publ., 2017, 328 p. (in Russian)
  9. Molleson G.V., Stasenko A.L. Gas thermodynamics and optics of a monodisperse supersonic jet interacting with an aerodynamic body. High Temperature, 2012, vol. 50, no. 6, pp. 755–764. https://doi.org/10.1134/s0018151x12050124
  10. Venkattraman A., Alexeenko A.A. Simulations and measurements of gas-droplet flows in supersonic jets expanding into vacuum. AIAA Paper, 2009, no. 2009-3751. https://doi.org/10.2514/6.2009-3751
  11. Dorchies F., Blasco F., Caillaud T., Stevefelt J., Stenz C., Boldarev A.S., Gasilov V.A. Spatial distribution of cluster size and density in supersonic jets as targets for intense laser pulses. Physics Review A, 2003, vol. 68, no. 2, pp. 023201. https://doi.org/10.1103/physreva.68.023201
  12. Chen G., Kim B., Ahn B., Kim D.E. Experimental investigation on argon cluster sizes for conical nozzles with different opening angles. JournalofAppliedPhysics, 2010, vol. 108, pp. 064329. https://doi.org/10.1063/1.3475514
  13. Luria K., Christen W., Even U. Generation and propagation of intense supersonic beams. The Journal of Physical Chemistry A, 2011, vol. 115, no. 25, pp. 7362–7367. https://doi.org/10.1021/jp201342u
  14. Patel M., Thomas J., Joshi H.C. Flow characterization of supersonic gas jets: experiments and simulations. Vacuum, 2021, vol. 192, pp. 110440. https://doi.org/10.1016/j.vacuum.2021.110440
  15. Lengrand J.C., Prikhodko V.G., Skovorodko P.A., Yarygin I.V., Yarygin V.N. Outflow of gas from supersonic nozzle with screen into vacuum. AIP Conference Proceedings, 2011, vol. 1333, no. 1, pp. 583. https://doi.org/10.1063/1.3562710
  16. Prikhodko V.G., Yarygin V.N., Yarygin I.V. Experimental study of droplet detachment from liquid film surface by a co-current flow inside the nozzle stagnation chamber. Journal of Physics: Conference Series, 2020, vol. 1677, no. 1, pp. 012148. https://doi.org/10.1088/1742-6596/1677/1/012148
  17. Zarvin A.E., Dubrovin K.A., Yaskin A.S., Kalyada V.V., Khudozhitkov V.E. Simulation of the spacecraft supersonic jets in vacuum on small-sized laboratory installations. Journal of Physics: Conference Series, 2021, vol. 1799, no. 1, pp. 012040. https://doi.org/10.1088/1742-6596/1799/1/012040
  18. Bernard F., Iollo A., Puppo G. Simulation of particle dynamics for rarefied flows: backflow in thruster plumes. European Journal of Mechanics. B/Fluids, 2017, vol. 63, pp. 25–38. https://doi.org/10.1016/j.euromechflu.2017.01.001
  19. Ivanov M., Kudryavtsev A., Markelov G., Vashchenkov P., Khotyanovsky D., Schmidt A. Numerical study of backflow for nozzle plumes expanding into vacuum. AIAA Paper, 2004, no. 2004-2687. https://doi.org/10.2514/6.2004-2687
  20. Volkov K.N., Emelyanov V.N., Pustovalov A.V. Supersonic flows of an inviscid compressible gas in aerodynamic windows of gas lasers. Numerical Methods and Programming, 2014, vol. 15, no. 4, pp. 712–725. (in Russian)
  21. Emelyanov V.N., Pustovalov A.V., Volkov K.N. Supersonic jet and nozzle flows in uniform-flow and free-vortex aerodynamic windows of gas lasers. Acta Astronautica, 2019, vol. 163, pp. 232–243. https://doi.org/10.1016/j.actaastro.2019.01.014
  22. Henderson C.B. Drag coefficients of spheres in continuum and rarefied flows. AIAA Journal, 1976, vol. 14, no. 6, pp. 707–708. https://doi.org/10.2514/3.61409
  23. Volkov K. Multigrid and preconditioning techniques in CFD applications. CFD Techniques and Thermo-Mechanics Applications. Springer International Publishing, 2018, pp. 83–149. https://doi.org/10.1007/978-3-319-70945-1_6


Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Copyright 2001-2024 ©
Scientific and Technical Journal
of Information Technologies, Mechanics and Optics.
All rights reserved.

Яндекс.Метрика