title: Boundary conditions for fluid-dynamic parameters of a single-component gas flow with vibrational deactivation on a solid wall
metadata.name: dc.contributor.author
metadata.value: Shakurova, Liia A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kustova, Elena V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-07-08T09:19:33Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-07-08T09:19:33Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Shakurova L. A., Kustova E. V. Boundary conditions for fluid-dynamic parameters of a single-component gas flow with vibrational deactivation on a solid wall. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, vol. 9 (67), issue 2, pp. 366–377.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2022.216
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/37117
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Boundary conditions for fluid-dynamic parameters of a strongly non-equilibrium singlecomponent
  rarefied gas flow in the slip regime are obtained using kinetic-theory methods.
  The gas flow is described in the frame of the state-to-state approach assuming vibrational
  energy exchange as the slow relaxation process. The set of governing equations including
  conservation equations coupled with additional relaxation equations for vibrational state
  populations is presented. The gas-solid surface interaction is considered on the basis of
  the specular-diffusive model, and possible vibrational deactivation/excitation processes on
  the wall are taken into account. The obtained boundary conditions depend on the accommodation
  and deactivation coefficients along with the transport coefficients such as the
  multi-component vibrational energy diffusion and thermal diffusion coefficients; the thermal
  conductivity; the bulk and shear viscosity coefficients and the relaxation pressure. The dependence of boundary conditions on the normal mean stress has been obtained for the
  first time. In the particular case of the gas without internal degrees of freedom, the slip
  velocity and the temperature jump can be reduced to the well-known in the literature
  expressions. Implementation of the state-specific boundary conditions should not cause additional
  computational costs in numerical simulations of viscous flows in the state-to-state
  approach, since the slip/jump equations depend on the transport coefficients which have
  to be evaluated regardless of the boundary conditions used in the code.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by the St Petersburg State University (project ID 84912260).
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 9 (67); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: non-equilibrium flow
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: state-to-state approach
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: boundary conditions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: concentration jump
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: slip velocity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: temperature jump
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Boundary conditions for fluid-dynamic parameters of a single-component gas flow with vibrational deactivation on a solid wall
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 366-377.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/37117/1/366-377.pdf
resources.format: Adobe PDF
resources.size: 316,21 kB