Linear stability of Landau jet: Non-parallel effects

R. Mullyadzhanov; N. Yavorsky; K. Oberleithner

doi:10.1088/1742-6596/1268/1/012050

Linear stability of Landau jet: Non-parallel effects

R. Mullyadzhanov, N. Yavorsky, K. Oberleithner

Research output: Contribution to journal › Conference article › peer-review

1 Citation (Scopus)

Abstract

We perform linear stability analysis of Landau jet using quasi-parallel approximation and self-similar approach. While the former detects only sinusoidal unstable modes, the latter also captures axisymmetric disturbances in agreement with previous results. The direct comparison of dispersion curves and eigenmode shapes for m = 1 and Re_D ≈ 56 indicates that low frequencies are poorly described within quasi-parallel approximation making this approach questionable for a laminar-turbulent transition model.

Original language	English
Article number	012050
Number of pages	6
Journal	Journal of Physics: Conference Series
Volume	1268
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/1268/1/012050
Publication status	Published - 16 Jul 2019
Event	All-Russian Conference and School for Young Scientists, devoted to 100th Anniversary of Academician L.V. Ovsiannikov on Mathematical Problems of Continuum Mechanics, MPCM 2019 - Novosibirsk, Russian Federation Duration: 13 May 2019 → 17 May 2019

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title = "Linear stability of Landau jet: Non-parallel effects",

abstract = "We perform linear stability analysis of Landau jet using quasi-parallel approximation and self-similar approach. While the former detects only sinusoidal unstable modes, the latter also captures axisymmetric disturbances in agreement with previous results. The direct comparison of dispersion curves and eigenmode shapes for m = 1 and ReD ≈ 56 indicates that low frequencies are poorly described within quasi-parallel approximation making this approach questionable for a laminar-turbulent transition model.",

author = "R. Mullyadzhanov and N. Yavorsky and K. Oberleithner",

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TY - JOUR

T1 - Linear stability of Landau jet

T2 - All-Russian Conference and School for Young Scientists, devoted to 100th Anniversary of Academician L.V. Ovsiannikov on Mathematical Problems of Continuum Mechanics, MPCM 2019

AU - Mullyadzhanov, R.

AU - Yavorsky, N.

AU - Oberleithner, K.

PY - 2019/7/16

Y1 - 2019/7/16

N2 - We perform linear stability analysis of Landau jet using quasi-parallel approximation and self-similar approach. While the former detects only sinusoidal unstable modes, the latter also captures axisymmetric disturbances in agreement with previous results. The direct comparison of dispersion curves and eigenmode shapes for m = 1 and ReD ≈ 56 indicates that low frequencies are poorly described within quasi-parallel approximation making this approach questionable for a laminar-turbulent transition model.

AB - We perform linear stability analysis of Landau jet using quasi-parallel approximation and self-similar approach. While the former detects only sinusoidal unstable modes, the latter also captures axisymmetric disturbances in agreement with previous results. The direct comparison of dispersion curves and eigenmode shapes for m = 1 and ReD ≈ 56 indicates that low frequencies are poorly described within quasi-parallel approximation making this approach questionable for a laminar-turbulent transition model.

UR - http://www.scopus.com/inward/record.url?scp=85073892724&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1268/1/012050

DO - 10.1088/1742-6596/1268/1/012050

M3 - Conference article

AN - SCOPUS:85073892724

VL - 1268

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012050

Y2 - 13 May 2019 through 17 May 2019

ER -

Linear stability of Landau jet: Non-parallel effects

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