Linear global stability of a confined plume

Lutz Lesshafft

doi:10.1016/j.taml.2015.05.001

Linear global stability of a confined plume

Lutz Lesshafft

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

Abstract

A linear stability analysis is performed for a plume flow inside a cylinder of aspect ratio 1. The configuration is identical to that used by Lopez and Marques (2013) for their direct numerical simulation study. It is found that the first bifurcation, which leads to a periodic axisymmetric flow state, is accurately predicted by linear analysis: both the critical Rayleigh number and the global frequency are consistent with the reported DNS results. It is further shown that pressure feedback drives the global mode, rather than absolute instability.

Original language	English
Pages (from-to)	126-128
Number of pages	3
Journal	Theoretical and Applied Mechanics Letters
Volume	5
Issue number	3
DOIs	https://doi.org/10.1016/j.taml.2015.05.001
Publication status	Published - 1 May 2015

Keywords

Bifurcation and symmetry breaking
Buoyancy-driven instability
Laminar flow stability
Linear instability
Plume

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10.1016/j.taml.2015.05.001

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title = "Linear global stability of a confined plume",

abstract = "A linear stability analysis is performed for a plume flow inside a cylinder of aspect ratio 1. The configuration is identical to that used by Lopez and Marques (2013) for their direct numerical simulation study. It is found that the first bifurcation, which leads to a periodic axisymmetric flow state, is accurately predicted by linear analysis: both the critical Rayleigh number and the global frequency are consistent with the reported DNS results. It is further shown that pressure feedback drives the global mode, rather than absolute instability.",

keywords = "Bifurcation and symmetry breaking, Buoyancy-driven instability, Laminar flow stability, Linear instability, Plume",

author = "Lutz Lesshafft",

note = "Publisher Copyright: {\textcopyright} 2015 The Author.",

year = "2015",

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language = "English",

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AU - Lesshafft, Lutz

PY - 2015/5/1

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N2 - A linear stability analysis is performed for a plume flow inside a cylinder of aspect ratio 1. The configuration is identical to that used by Lopez and Marques (2013) for their direct numerical simulation study. It is found that the first bifurcation, which leads to a periodic axisymmetric flow state, is accurately predicted by linear analysis: both the critical Rayleigh number and the global frequency are consistent with the reported DNS results. It is further shown that pressure feedback drives the global mode, rather than absolute instability.

AB - A linear stability analysis is performed for a plume flow inside a cylinder of aspect ratio 1. The configuration is identical to that used by Lopez and Marques (2013) for their direct numerical simulation study. It is found that the first bifurcation, which leads to a periodic axisymmetric flow state, is accurately predicted by linear analysis: both the critical Rayleigh number and the global frequency are consistent with the reported DNS results. It is further shown that pressure feedback drives the global mode, rather than absolute instability.

KW - Bifurcation and symmetry breaking

KW - Buoyancy-driven instability

KW - Laminar flow stability

KW - Linear instability

KW - Plume

U2 - 10.1016/j.taml.2015.05.001

DO - 10.1016/j.taml.2015.05.001

M3 - Letter

AN - SCOPUS:84946186379

SN - 2095-0349

VL - 5

SP - 126

EP - 128

JO - Theoretical and Applied Mechanics Letters

JF - Theoretical and Applied Mechanics Letters

IS - 3

ER -

Linear global stability of a confined plume

Abstract

Keywords

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