Shock waves in carbon dioxide: Simulations using different kinetic-theory models

Research output

Abstract

Shock wave structure in carbon dioxide is studied on the basis of several continuum models and compared to the solution obtained using the kinetic approach. The problem is solved in the frame of one- A nd two-temperature Euler equations as well as Navier-Stokes equations accounting for the bulk viscosity. The Rankine-Hugoniot relations with constant specific heat ratio fail to predict accurately the final equilibrium state in polyatomic gases. A good qualitative agreement of the solutions obtained using the continuum and kinetic approaches is shown. Taking into account the bulk viscosity leads to a considerable increase in the shock wave width; its variation in a flow modifies the profiles of gas-dynamic parameters. In the multi-temperature approach, solving the Euler equations coupled to the relaxation equation for the vibrational energy provides the results similar to those obtained within the kinetic approach taking into account the effect of bulk viscosity.

Original languageEnglish
Title of host publication31st International Symposium on Rarefied Gas Dynamics, RGD 2018
PublisherAmerican Institute of Physics
Number of pages8
DOIs
Publication statusE-pub ahead of print - 5 Aug 2019
Event31st International Symposium on Rarefied Gas Dynamics, RGD 2018 - Glasgow
Duration: 23 Jul 201827 Jul 2018

Publication series

NameAIP Conference Proceedings
PublisherAmerican Institute of Physics
Number1
Volume2132
ISSN (Print)0094-243X

Conference

Conference31st International Symposium on Rarefied Gas Dynamics, RGD 2018
CountryUnited Kingdom
CityGlasgow
Period23/07/1827/07/18

Fingerprint

kinetic theory
shock wave
carbon dioxide
shock waves
viscosity
kinetics
Rankine-Hugoniot relation
polyatomic gases
continuums
simulation
gas dynamics
Navier-Stokes equation
Navier-Stokes equations
gas
specific heat
temperature
profiles
energy

Scopus subject areas

  • Physics and Astronomy(all)
  • Ecology

Cite this

Alekseev, I. V., Kosareva, A. A., Kustova, E. V., & Nagnibeda, E. A. (2019). Shock waves in carbon dioxide: Simulations using different kinetic-theory models. In 31st International Symposium on Rarefied Gas Dynamics, RGD 2018 [060005] (AIP Conference Proceedings; Vol. 2132, No. 1). American Institute of Physics. https://doi.org/10.1063/1.5119545
Alekseev, I. V. ; Kosareva, A. A. ; Kustova, E. V. ; Nagnibeda, E. A. / Shock waves in carbon dioxide : Simulations using different kinetic-theory models. 31st International Symposium on Rarefied Gas Dynamics, RGD 2018. American Institute of Physics, 2019. (AIP Conference Proceedings; 1).
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Alekseev, IV, Kosareva, AA, Kustova, EV & Nagnibeda, EA 2019, Shock waves in carbon dioxide: Simulations using different kinetic-theory models. in 31st International Symposium on Rarefied Gas Dynamics, RGD 2018., 060005, AIP Conference Proceedings, no. 1, vol. 2132, American Institute of Physics, Glasgow, 23/07/18. https://doi.org/10.1063/1.5119545

Shock waves in carbon dioxide : Simulations using different kinetic-theory models. / Alekseev, I. V.; Kosareva, A. A.; Kustova, E. V.; Nagnibeda, E. A.

31st International Symposium on Rarefied Gas Dynamics, RGD 2018. American Institute of Physics, 2019. 060005 (AIP Conference Proceedings; Vol. 2132, No. 1).

Research output

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Alekseev IV, Kosareva AA, Kustova EV, Nagnibeda EA. Shock waves in carbon dioxide: Simulations using different kinetic-theory models. In 31st International Symposium on Rarefied Gas Dynamics, RGD 2018. American Institute of Physics. 2019. 060005. (AIP Conference Proceedings; 1). https://doi.org/10.1063/1.5119545