title: To the problem of modeling gas flows behind the front of a strong shock wave using an effective adiabatic index
metadata.name: dc.contributor.author
metadata.value: Bogatko, Vsevolod I.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Potekhina, Elena A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-04-10T12:57:46Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-04-10T12:57:46Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Bogatko V. I., Potekhina E.A. To the problem of modeling gas flows behind the front of a strong shock wave using an effective adiabatic index. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 1, pp. 104–111.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2020.111
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/17333
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In problems with strong shock waves (the problem of a strong explosion, the motion of
  bodies with high supersonic speeds, the problem of supersonic piston expansion), a significant
  increase in temperature occurs in the perturbed region of the flow. Therefore, when
  determining the parameters of the gas flow behind the front of a strong shock wave, it is
  necessary to take into account the real properties of the gas. This greatly complicates the
  construction of approximate analytical solutions. However, studies show that the influence
  of the real properties of the gas on the gas-dynamic parameters of the flow can be taken
  into account by changing the adiabatic index, that is, by introducing an effective adiabatic
  exponent. If the gas behind the shock wave is in a state of thermodynamic equilibrium,
  then the effective adiabatic index changes little in the entire flow zone. This makes it possible
  to simulate the flow behind the shock wave front by some perfect gas, the adiabatic
  index of which is determined depending on the Mach number and the thermodynamic state
  of the gas by the shock front. To obtain more accurate solutions to problems with strong
  shock waves, the model must allow a break in the adiabatic index at the shock wave. In
  the present work, an explicit expression is obtained for the gas parameters behind the front
  of an intense shock wave under the assumption that the adiabatic index undergoes discontinuity
  during the transition of gas particles through the surface of the shock wave. The
  plane and axisymmetric case are considered.
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 7 (65); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: modeling
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: shock wave
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: hypersonic flows
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: adiabatic index discontinuity
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: To the problem of modeling gas flows behind the front of a strong shock wave using an effective adiabatic index
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 104-111.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/17333/1/104-111.pdf
resources.format: Adobe PDF
resources.size: 290,34 kB