### Abstract

Vibrationally non-equilibrium flows of chemically homogeneous diatomic gases are considered under the conditions that the distribution of the molecules over vibrational levels differs significantly from the Boltzmann distribution. In such flows, molecular collisions can be divided into two groups: the first group corresponds to "rapid" microscopic processes whereas the second one corresponds to "slow" microscopic processes (their rate is comparable to or larger than that of gasdynamic parameters variation). The collisions of the first group form quasi-stationary vibrationally non-equilibrium distribution functions. The model kinetic equations are used to study the transport processes under these conditions. In these equations, the BGK-type approximation is used to model only the collision operators of the first group. It allows us to simplify derivation of the transport fluxes and calculation of the kinetic coefficients. Special attention is given to the connection between the formulae for the bulk viscosity coefficient and the sound velocity square.

Original language | English |
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Journal | AIP Conference Proceedings |

Volume | 1959 |

DOIs | |

Publication status | Published - 2 May 2018 |

Event | Восьмые Поляховские чтения: международная научная конференция по механике - Старый Петергоф, Saint Petersburg Duration: 29 Jan 2018 → 2 Feb 2018 Conference number: 8 https://events.spbu.ru/events/polyakhov_readings http://nanomat.spbu.ru/en/node/175 http://nanomat.spbu.ru/ru/node/192 http://spbu.ru/news-events/calendar/viii-polyahovskie-chteniya |

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### Scopus subject areas

- Physics and Astronomy(all)

### Cite this

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**Transport processes and sound velocity in vibrationally non-equilibrium gas of anharmonic oscillators.** / Rydalevskaya, Maria A.; Voroshilova, Yulia N.

Research output

TY - JOUR

T1 - Transport processes and sound velocity in vibrationally non-equilibrium gas of anharmonic oscillators

AU - Rydalevskaya, Maria A.

AU - Voroshilova, Yulia N.

PY - 2018/5/2

Y1 - 2018/5/2

N2 - Vibrationally non-equilibrium flows of chemically homogeneous diatomic gases are considered under the conditions that the distribution of the molecules over vibrational levels differs significantly from the Boltzmann distribution. In such flows, molecular collisions can be divided into two groups: the first group corresponds to "rapid" microscopic processes whereas the second one corresponds to "slow" microscopic processes (their rate is comparable to or larger than that of gasdynamic parameters variation). The collisions of the first group form quasi-stationary vibrationally non-equilibrium distribution functions. The model kinetic equations are used to study the transport processes under these conditions. In these equations, the BGK-type approximation is used to model only the collision operators of the first group. It allows us to simplify derivation of the transport fluxes and calculation of the kinetic coefficients. Special attention is given to the connection between the formulae for the bulk viscosity coefficient and the sound velocity square.

AB - Vibrationally non-equilibrium flows of chemically homogeneous diatomic gases are considered under the conditions that the distribution of the molecules over vibrational levels differs significantly from the Boltzmann distribution. In such flows, molecular collisions can be divided into two groups: the first group corresponds to "rapid" microscopic processes whereas the second one corresponds to "slow" microscopic processes (their rate is comparable to or larger than that of gasdynamic parameters variation). The collisions of the first group form quasi-stationary vibrationally non-equilibrium distribution functions. The model kinetic equations are used to study the transport processes under these conditions. In these equations, the BGK-type approximation is used to model only the collision operators of the first group. It allows us to simplify derivation of the transport fluxes and calculation of the kinetic coefficients. Special attention is given to the connection between the formulae for the bulk viscosity coefficient and the sound velocity square.

UR - http://www.scopus.com/inward/record.url?scp=85047179800&partnerID=8YFLogxK

U2 - 10.1063/1.5034675

DO - 10.1063/1.5034675

M3 - Conference article

AN - SCOPUS:85047179800

VL - 1959

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

SN - 0094-243X

ER -