title: Modeling of nonequilibrium processes behind a shock wave in a mixture of carbon dioxide and argon
metadata.name: dc.contributor.author
metadata.value: Batalov, Semyon A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kustova, Elena V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-05-18T22:06:21Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-05-18T22:06:21Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-05
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Batalov S.A.,Kustova E.V. Modeling of nonequilibrium processes behind a shock wave in a mixture of carbon dioxide and argon. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 277–288. https://doi.org/10.21638/spbu01.2023.209 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.209
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41485
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A closed self-consistent model of a nonequilibrium flow of a mixture of carbon dioxide
  and argon behind the front of a plane shock wave is developed. The generalized Chapman—
  Enskog method is used in the three-temperature approach, taking into account various
  channels of vibrational relaxation in carbon dioxide. An extended system of Navier—
  Stokes—Fourier equations is written, consisting of the equations of conservation of mass,
  momentum and energy, supplemented by the diffusion equations of the mixture components
  and relaxation equations for the vibrational modes of the CO2 molecule. The constitutive
  relations for the stress tensor, diffusion velocity, heat flux and vibrational energy fluxes are
  obtained. An algorithm for calculating the coefficients of shear and bulk viscosity, thermal
  conductivity of various degrees of freedom, diffusion and thermal diffusion has been developed
  and implemented. The model was validated by comparison with experimental data
  for the viscosity and thermal conductivity of carbon dioxide and argon, as well as for the
  binary diffusion coefficient. Satisfactory agreement with the experiment was obtained. The
  dependence of the transport coefficients on the gas temperature, temperatures of vibrational
  modes and mixture composition is analyzed. The developed model is ready for use
  in numerical simulation of shock waves in a mixture of CO2–Ar.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work is supported by Saint Petersburg State University (project ID 93022273).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: transport coefficients
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: three-temperature model
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: shock wave
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: carbon dioxide
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: argon
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Modeling of nonequilibrium processes behind a shock wave in a mixture of carbon dioxide and argon
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 277-288.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41485/1/277-288.pdf
resources.format: Adobe PDF
resources.size: 1,25 MB