Self-sustained oscillations in variable-density round jets
The stability properties of round variable-density low-Mach-number jets are studied by means of direct numerical simulation (DNS) and linear stability analysis. Fully three-dimensional DNS of variable-density jets, with and without gravity, demonstrate that the presence of buoyancy causes a more abr...
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| Veröffentlicht in: | Journal of fluid mechanics 2007-07, Vol.582 (july), p.341-376 |
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| creator | NICHOLS, JOSEPH W. SCHMID, PETER J. RILEY, JAMES J. |
| description | The stability properties of round variable-density low-Mach-number jets are studied by means of direct numerical simulation (DNS) and linear stability analysis. Fully three-dimensional DNS of variable-density jets, with and without gravity, demonstrate that the presence of buoyancy causes a more abrupt transition to turbulence. This effect helps to explain differences between normal gravity and microgravity jet diffusion flames observed in the laboratory. The complete spectrum of spatial eigenmodes of the linearized low-Mach-number equations is calculated using a global matrix method. Also, an analytic form for the continuous portion of this spectrum is derived, and used to verify the numerical method. The absolute instability of variable-density jets is confirmed using Brigg's method, and a comprehensive parametric study of the strength and frequency of this instability is performed. Effects of Reynolds number, the density ratio of ambient-to-jet fluid (S1), shear-layer thickness and Froude number are considered. Finally, a region of local absolute instability is shown to exist in the near field of the jet by applying linear stability analysis to mean profiles measured from DNS. |
| doi_str_mv | 10.1017/S0022112007005903 |
| format | Article |
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Fully three-dimensional DNS of variable-density jets, with and without gravity, demonstrate that the presence of buoyancy causes a more abrupt transition to turbulence. This effect helps to explain differences between normal gravity and microgravity jet diffusion flames observed in the laboratory. The complete spectrum of spatial eigenmodes of the linearized low-Mach-number equations is calculated using a global matrix method. Also, an analytic form for the continuous portion of this spectrum is derived, and used to verify the numerical method. The absolute instability of variable-density jets is confirmed using Brigg's method, and a comprehensive parametric study of the strength and frequency of this instability is performed. Effects of Reynolds number, the density ratio of ambient-to-jet fluid (S1), shear-layer thickness and Froude number are considered. 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Metering</subject><ispartof>Journal of fluid mechanics, 2007-07, Vol.582 (july), p.341-376</ispartof><rights>Copyright © Cambridge University Press 2007</rights><rights>2007 INIST-CNRS</rights><rights>Cambridge University Press</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c540t-9371abb68bb1ee1cce55f29688285b10dcc58d49a48ef5d1aecafe951bbbce593</citedby><cites>FETCH-LOGICAL-c540t-9371abb68bb1ee1cce55f29688285b10dcc58d49a48ef5d1aecafe951bbbce593</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.cambridge.org/core/product/identifier/S0022112007005903/type/journal_article$$EHTML$$P50$$Gcambridge$$H</linktohtml><link.rule.ids>164,230,314,780,784,885,27915,27916,55619</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=18830979$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://polytechnique.hal.science/hal-01023338$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>NICHOLS, JOSEPH W.</creatorcontrib><creatorcontrib>SCHMID, PETER J.</creatorcontrib><creatorcontrib>RILEY, JAMES J.</creatorcontrib><title>Self-sustained oscillations in variable-density round jets</title><title>Journal of fluid mechanics</title><addtitle>J. Fluid Mech</addtitle><description>The stability properties of round variable-density low-Mach-number jets are studied by means of direct numerical simulation (DNS) and linear stability analysis. Fully three-dimensional DNS of variable-density jets, with and without gravity, demonstrate that the presence of buoyancy causes a more abrupt transition to turbulence. This effect helps to explain differences between normal gravity and microgravity jet diffusion flames observed in the laboratory. The complete spectrum of spatial eigenmodes of the linearized low-Mach-number equations is calculated using a global matrix method. Also, an analytic form for the continuous portion of this spectrum is derived, and used to verify the numerical method. The absolute instability of variable-density jets is confirmed using Brigg's method, and a comprehensive parametric study of the strength and frequency of this instability is performed. Effects of Reynolds number, the density ratio of ambient-to-jet fluid (S1), shear-layer thickness and Froude number are considered. Finally, a region of local absolute instability is shown to exist in the near field of the jet by applying linear stability analysis to mean profiles measured from DNS.</description><subject>Applied sciences</subject><subject>Combustion. Flame</subject><subject>Energy</subject><subject>Energy. Thermal use of fuels</subject><subject>Engineering Sciences</subject><subject>Exact sciences and technology</subject><subject>Fluid dynamics</subject><subject>Fluid mechanics</subject><subject>Fluids mechanics</subject><subject>Froude number</subject><subject>Gravity</subject><subject>Jets</subject><subject>Mechanical engineering</subject><subject>Mechanics</subject><subject>Physics</subject><subject>Reynolds number</subject><subject>Stability analysis</subject><subject>Theoretical studies</subject><subject>Theoretical studies. Data and constants. 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Fluid Mech</addtitle><date>2007-07-10</date><risdate>2007</risdate><volume>582</volume><issue>july</issue><spage>341</spage><epage>376</epage><pages>341-376</pages><issn>0022-1120</issn><eissn>1469-7645</eissn><coden>JFLSA7</coden><abstract>The stability properties of round variable-density low-Mach-number jets are studied by means of direct numerical simulation (DNS) and linear stability analysis. Fully three-dimensional DNS of variable-density jets, with and without gravity, demonstrate that the presence of buoyancy causes a more abrupt transition to turbulence. This effect helps to explain differences between normal gravity and microgravity jet diffusion flames observed in the laboratory. The complete spectrum of spatial eigenmodes of the linearized low-Mach-number equations is calculated using a global matrix method. Also, an analytic form for the continuous portion of this spectrum is derived, and used to verify the numerical method. The absolute instability of variable-density jets is confirmed using Brigg's method, and a comprehensive parametric study of the strength and frequency of this instability is performed. Effects of Reynolds number, the density ratio of ambient-to-jet fluid (S1), shear-layer thickness and Froude number are considered. Finally, a region of local absolute instability is shown to exist in the near field of the jet by applying linear stability analysis to mean profiles measured from DNS.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/S0022112007005903</doi><tpages>36</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Journal of fluid mechanics, 2007-07, Vol.582 (july), p.341-376 |
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| subjects | Applied sciences Combustion. Flame Energy Energy. Thermal use of fuels Engineering Sciences Exact sciences and technology Fluid dynamics Fluid mechanics Fluids mechanics Froude number Gravity Jets Mechanical engineering Mechanics Physics Reynolds number Stability analysis Theoretical studies Theoretical studies. Data and constants. Metering |
| title | Self-sustained oscillations in variable-density round jets |
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