title: Influence of variable molecular diameter on the viscosity coefficient in the state-to-state approach
metadata.name: dc.contributor.author
metadata.value: Kornienko, Olga V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kustova, Elena V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-09-28T16:08:21Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-09-28T16:08:21Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Kornienko O.V., Kustova E.V. Influence of variable molecular diameter on the viscosity coefficient in the state-to-state approach. Vestnik of Saint Petersburg University. Series 1. Mathematics. Mechanics. Astronomy, 2016, vol. 3 (61), issue 3, pp. 457–467.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2016.314
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/3916
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The influence of variable diameter of vibrationally excited molecules on the shear viscosity coefficient in
  the state-to-state approach is studied. Three models for molecular diameters are considered: Kang—Kunc,
  Morse, and Tietz—Hua. On the basis of these models, diameters of N2, O2, NO molecules for different
  vibrational—rotational states are calculated. The Kang and Kunc model yields exponential increasing of
  the molecular diameter for vibrational levels higher than 10, and therefore its use is reasonable only at
  low temperatures. Tietz—Hua and Morse models provide similar values for diameters. It is shown that
  contribution of rotational excitation to the diameters of considered molecules can be neglected. For various
  potentials, temperatures, and both equilibrium and non-equilibrium vibrational distributions the ratio of
  state-to-state shear viscosity coefficient to that for the molecule in the ground state is calculated. For all
  cases considered, rising of molecular size with the vibrational state does not affect the viscosity coefficient;
  the deviation does not exceed 7%. Thus we prove the validity of the assumption that dependence of
  elastic collision cross section on the vibrational state can be neglected while calculating state-to-state
  transport coefficients. This gives justification for applying simplified algorithms for simulation of statespecific
  transport coefficients which reduce considerably computational resources required for the solution
  of modern non-equilibrium fluid dynamic problems. Refs 16. Figs 5. Tables 6.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при поддержке СПбГУ (тема НИР 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. Series 1. Mathematics. Mechanics. Astronomy;Vol. 3 (61); Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: molecular diameter
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: vibrational excited state
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: state-to-state shear viscosity coefficient
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Influence of variable molecular diameter on the viscosity coefficient in the state-to-state approach
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: Kornienko.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/3916/1/Kornienko.pdf
resources.format: Adobe PDF
resources.size: 462,32 kB