Standard

Linear Stability of the Boundary Layer of Relaxing Gas on a Plate. / Grigor’ev, Yu N.; Ershov, I. V.

In: Fluid Dynamics, Vol. 54, No. 3, 01.05.2019, p. 295-307.

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

Harvard

Grigor’ev, YN & Ershov, IV 2019, 'Linear Stability of the Boundary Layer of Relaxing Gas on a Plate', Fluid Dynamics, vol. 54, no. 3, pp. 295-307. https://doi.org/10.1134/S0015462819030054

APA

Grigor’ev, Y. N., & Ershov, I. V. (2019). Linear Stability of the Boundary Layer of Relaxing Gas on a Plate. Fluid Dynamics, 54(3), 295-307. https://doi.org/10.1134/S0015462819030054

Vancouver

Grigor’ev YN, Ershov IV. Linear Stability of the Boundary Layer of Relaxing Gas on a Plate. Fluid Dynamics. 2019 May 1;54(3):295-307. doi: 10.1134/S0015462819030054

Author

Grigor’ev, Yu N. ; Ershov, I. V. / Linear Stability of the Boundary Layer of Relaxing Gas on a Plate. In: Fluid Dynamics. 2019 ; Vol. 54, No. 3. pp. 295-307.

BibTeX

@article{b1e3c69dc3414d1881117fcbfedd8251,
title = "Linear Stability of the Boundary Layer of Relaxing Gas on a Plate",
abstract = "The development of inviscid and viscous two-dimensional subsonic disturbances in the supersonic flat-plate boundary layer of a vibrationally excited gas is investigated on the basis of the linear stability theory. The system of two-temperature gas dynamics which includes the Landau-Teller relaxation equation is used as the initial model. Undisturbed flow is described by the self-similar boundary-layer solution for a perfect gas. It is shown that in the inviscid approximation excitation decreases the maximum growth rate of the most unstable second mode by 10–12% as compared with an ideal gas. The neutral stability curves are calculated for the first and second most unstable modes at the Mach numbers M = 2.2, 4.5, and 4.8. For both modes the critical Reynolds numbers at maximum excitation are greater by 12–13% than the corresponding values for the perfect gas.",
keywords = "critical Reynolds numbers, linear stability, unstable modes",
author = "Grigor{\textquoteright}ev, {Yu N.} and Ershov, {I. V.}",
year = "2019",
month = may,
day = "1",
doi = "10.1134/S0015462819030054",
language = "English",
volume = "54",
pages = "295--307",
journal = "Fluid Dynamics",
issn = "0015-4628",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - Linear Stability of the Boundary Layer of Relaxing Gas on a Plate

AU - Grigor’ev, Yu N.

AU - Ershov, I. V.

PY - 2019/5/1

Y1 - 2019/5/1

N2 - The development of inviscid and viscous two-dimensional subsonic disturbances in the supersonic flat-plate boundary layer of a vibrationally excited gas is investigated on the basis of the linear stability theory. The system of two-temperature gas dynamics which includes the Landau-Teller relaxation equation is used as the initial model. Undisturbed flow is described by the self-similar boundary-layer solution for a perfect gas. It is shown that in the inviscid approximation excitation decreases the maximum growth rate of the most unstable second mode by 10–12% as compared with an ideal gas. The neutral stability curves are calculated for the first and second most unstable modes at the Mach numbers M = 2.2, 4.5, and 4.8. For both modes the critical Reynolds numbers at maximum excitation are greater by 12–13% than the corresponding values for the perfect gas.

AB - The development of inviscid and viscous two-dimensional subsonic disturbances in the supersonic flat-plate boundary layer of a vibrationally excited gas is investigated on the basis of the linear stability theory. The system of two-temperature gas dynamics which includes the Landau-Teller relaxation equation is used as the initial model. Undisturbed flow is described by the self-similar boundary-layer solution for a perfect gas. It is shown that in the inviscid approximation excitation decreases the maximum growth rate of the most unstable second mode by 10–12% as compared with an ideal gas. The neutral stability curves are calculated for the first and second most unstable modes at the Mach numbers M = 2.2, 4.5, and 4.8. For both modes the critical Reynolds numbers at maximum excitation are greater by 12–13% than the corresponding values for the perfect gas.

KW - critical Reynolds numbers

KW - linear stability

KW - unstable modes

UR - http://www.scopus.com/inward/record.url?scp=85068607558&partnerID=8YFLogxK

U2 - 10.1134/S0015462819030054

DO - 10.1134/S0015462819030054

M3 - Article

AN - SCOPUS:85068607558

VL - 54

SP - 295

EP - 307

JO - Fluid Dynamics

JF - Fluid Dynamics

SN - 0015-4628

IS - 3

ER -

ID: 20851399