title: Shock wave structure in CO2 taking into account bulk viscosity
metadata.name: dc.contributor.author
metadata.value: Alekseev, Ilya V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kustova, Elena V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-12-27T14:37:16Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-12-27T14:37:16Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Alekseev I.V., Kustova E.V. Shock wave structure in CO2 taking into account bulk viscosity. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 4, pp. 642–653.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.412
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/8809
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Variation of the macroscopic parameters of carbon dioxide CO2 passing through a shock wave is studied.
  The novelty of the work is in correct account of the bulk viscosity while calculating the structure of the
  shock wave. In the shock front, translational, rotational and vibrational degrees of freedom are excited.
  The transport processes are modeled using the kinetic theory of gases. The influence of the vibrational
  degrees of freedom on the transport coefficients for different Mach numbers is studied in detail. The
  system of Navier Stokes equations is solved numerically taking into account the viscous stress tensor
  and the heat flux. The diagonal terms of the stress tensor contain the shear and bulk viscosity, and the
  coefficient of thermal conductivity is determined by the contributions of translational and internal degrees
  of freedom. The complex structure of vibrational modes of carbon dioxide molecules is taken into account
  in calculating its specific heat and the adiabatic factor. It is shown that the adiabatic factor changes
  noticeably when passing through a shock wave, therefore, the commonly used assumption of its constancy
  significantly affects the accuracy of calculating the equilibrium values of the gas parameters behind the
  shock wave. The distributions of the following parameters in the shock waves with Mach numbers 2 and 5
  are found numerically: pressure, density, velocity, and temperature. The transport coefficients as functions
  of the distance from the shock front are analyzed. It is found that taking into account the vibrational
  degrees of freedom and bulk viscosity significantly affects the width of the shock front and the parameters
  of the shock wave in polyatomic gases. For nitrogen, taking into account the bulk viscosity leads to a
  significant improvement in the agreement between the calculated and experimental data on the density
  measurement. Refs 7. Figs 7.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке СПбГУ (проект 6.37.206.2016) и РФФИ (грант
  №15-08-03371).
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 4(62); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: bulk viscosity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: vibrational degrees of freedom
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.title
metadata.value: Shock wave structure in CO2 taking into account bulk viscosity
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 12-Alekseev.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/8809/1/12-Alekseev.pdf
resources.format: Adobe PDF
resources.size: 1,85 MB