Standard

Linear stability of supersonic Couette flow of a molecular gas under the conditions of viscous stratification and excitation of the vibrational mode. / Grigor’ev, Yu N.; Ershov, I. V.

In: Fluid Dynamics, Vol. 52, No. 1, 01.01.2017, p. 9-24.

Research output: Contribution to journal › Article › peer-review

Harvard

Grigor’ev, YN & Ershov, IV 2017, 'Linear stability of supersonic Couette flow of a molecular gas under the conditions of viscous stratification and excitation of the vibrational mode', Fluid Dynamics, vol. 52, no. 1, pp. 9-24. https://doi.org/10.1134/S0015462817010021

APA

Grigor’ev, Y. N., & Ershov, I. V. (2017). Linear stability of supersonic Couette flow of a molecular gas under the conditions of viscous stratification and excitation of the vibrational mode. Fluid Dynamics, 52(1), 9-24. https://doi.org/10.1134/S0015462817010021

Vancouver

Grigor’ev YN, Ershov IV. Linear stability of supersonic Couette flow of a molecular gas under the conditions of viscous stratification and excitation of the vibrational mode. Fluid Dynamics. 2017 Jan 1;52(1):9-24. doi: 10.1134/S0015462817010021

Author

Grigor’ev, Yu N. ; Ershov, I. V. / Linear stability of supersonic Couette flow of a molecular gas under the conditions of viscous stratification and excitation of the vibrational mode. In: Fluid Dynamics. 2017 ; Vol. 52, No. 1. pp. 9-24.

BibTeX

@article{8cf9cd693e9440e0982774806c1fcc1f,
title = "Linear stability of supersonic Couette flow of a molecular gas under the conditions of viscous stratification and excitation of the vibrational mode",
abstract = "The linear stability of viscous two-dimensional perturbations in the supersonic plane Couette flow of perfect and vibrationally excited gases is investigated. In both cases an alternative is considered so that the transport coefficients were taken either constant or dependent on the static flow temperature. The Sutherland model is used to take the temperature dependence of the shear viscosity into account. It is shown that “viscous” stratification increases considerably the flow stability as compared with the case of constant viscosity. At the same time, the simple constant viscosity model conserves all characteristic features of the development of viscous perturbations in the Sutherland model. The dissipation effect of excitation of the vibrational mode is conserved in taking the temperature dependence of the transport coefficients into account. For both models the corresponding increase in the critical Reynolds number is of approximately 12%.",
keywords = "acoustic modes, linear stability, Sutherland formula, vibrational relaxation",
author = "Grigor{\textquoteright}ev, {Yu N.} and Ershov, {I. V.}",
year = "2017",
month = jan,
day = "1",
doi = "10.1134/S0015462817010021",
language = "English",
volume = "52",
pages = "9--24",
journal = "Fluid Dynamics",
issn = "0015-4628",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Linear stability of supersonic Couette flow of a molecular gas under the conditions of viscous stratification and excitation of the vibrational mode

AU - Grigor’ev, Yu N.

AU - Ershov, I. V.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - The linear stability of viscous two-dimensional perturbations in the supersonic plane Couette flow of perfect and vibrationally excited gases is investigated. In both cases an alternative is considered so that the transport coefficients were taken either constant or dependent on the static flow temperature. The Sutherland model is used to take the temperature dependence of the shear viscosity into account. It is shown that “viscous” stratification increases considerably the flow stability as compared with the case of constant viscosity. At the same time, the simple constant viscosity model conserves all characteristic features of the development of viscous perturbations in the Sutherland model. The dissipation effect of excitation of the vibrational mode is conserved in taking the temperature dependence of the transport coefficients into account. For both models the corresponding increase in the critical Reynolds number is of approximately 12%.

AB - The linear stability of viscous two-dimensional perturbations in the supersonic plane Couette flow of perfect and vibrationally excited gases is investigated. In both cases an alternative is considered so that the transport coefficients were taken either constant or dependent on the static flow temperature. The Sutherland model is used to take the temperature dependence of the shear viscosity into account. It is shown that “viscous” stratification increases considerably the flow stability as compared with the case of constant viscosity. At the same time, the simple constant viscosity model conserves all characteristic features of the development of viscous perturbations in the Sutherland model. The dissipation effect of excitation of the vibrational mode is conserved in taking the temperature dependence of the transport coefficients into account. For both models the corresponding increase in the critical Reynolds number is of approximately 12%.

KW - acoustic modes

KW - linear stability

KW - Sutherland formula

KW - vibrational relaxation

UR - http://www.scopus.com/inward/record.url?scp=85014474311&partnerID=8YFLogxK

U2 - 10.1134/S0015462817010021

DO - 10.1134/S0015462817010021

M3 - Article

AN - SCOPUS:85014474311

VL - 52

SP - 9

EP - 24

JO - Fluid Dynamics

JF - Fluid Dynamics

SN - 0015-4628

IS - 1

ER -

ID: 10278065