同向旋转悬浮液泰勒-库埃特流中的不稳定性和颗粒诱导模式

IF 3.6 2区 工程技术 Q1 MECHANICS Journal of Fluid Mechanics Pub Date : 2024-09-19 DOI:10.1017/jfm.2024.785
Manojit Ghosh, Meheboob Alam
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While the stationary Taylor vortex flow (TVF) is the primary bifurcating state in dilute suspensions (<jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022112024007857_inline5.png\"/> <jats:tex-math>$\\phi \\leq ~0.05$</jats:tex-math> </jats:alternatives> </jats:inline-formula>), the non-axisymmetric oscillatory states, such as the spiral vortex flow (SVF) and the ribbon (RIB), appear as primary bifurcations with increasing particle loading, with an overall de-stabilization of the primary bifurcating states (TVF/SVF/RIB) being found with increasing <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022112024007857_inline6.png\"/> <jats:tex-math>$\\phi$</jats:tex-math> </jats:alternatives> </jats:inline-formula> for all <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022112024007857_inline7.png\"/> <jats:tex-math>$\\varOmega \\geq ~0$</jats:tex-math> </jats:alternatives> </jats:inline-formula>. At small co-rotations (<jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022112024007857_inline8.png\"/> <jats:tex-math>$\\varOmega \\sim 0$</jats:tex-math> </jats:alternatives> </jats:inline-formula>), the particles play the dual role of stabilization (<jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022112024007857_inline9.png\"/> <jats:tex-math>$\\phi &lt; 0.1$</jats:tex-math> </jats:alternatives> </jats:inline-formula>) and destabilization (<jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022112024007857_inline10.png\"/> <jats:tex-math>$\\phi \\geq ~0.1$</jats:tex-math> </jats:alternatives> </jats:inline-formula>) on the secondary/tertiary oscillatory states. The distinctive features of the ‘particle-induced’ spiral vortices are identified and contrasted with those of the ‘fluid-induced’ spirals that operate in the counter-rotation regime.","PeriodicalId":15853,"journal":{"name":"Journal of Fluid Mechanics","volume":null,"pages":null},"PeriodicalIF":3.6000,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Instabilities and particle-induced patterns in co-rotating suspension Taylor–Couette flow\",\"authors\":\"Manojit Ghosh, Meheboob Alam\",\"doi\":\"10.1017/jfm.2024.785\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The first experimental results on pattern transitions in the co-rotation regime (i.e. the rotation ratio <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\" mime-subtype=\\\"png\\\" xlink:href=\\\"S0022112024007857_inline1.png\\\"/> <jats:tex-math>$\\\\varOmega = \\\\omega _o/\\\\omega _i &gt; 0$</jats:tex-math> </jats:alternatives> </jats:inline-formula>, where <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\" mime-subtype=\\\"png\\\" xlink:href=\\\"S0022112024007857_inline2.png\\\"/> <jats:tex-math>$\\\\omega _i$</jats:tex-math> </jats:alternatives> </jats:inline-formula> and <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\" mime-subtype=\\\"png\\\" xlink:href=\\\"S0022112024007857_inline3.png\\\"/> <jats:tex-math>$\\\\omega _o$</jats:tex-math> </jats:alternatives> </jats:inline-formula> are the angular speeds of the inner and outer cylinders, respectively) of the Taylor–Couette flow (TCF) are reported for a neutrally buoyant suspension of non-colloidal particles, up to a particle volume fraction of <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\" mime-subtype=\\\"png\\\" xlink:href=\\\"S0022112024007857_inline4.png\\\"/> <jats:tex-math>$\\\\phi = 0.3$</jats:tex-math> </jats:alternatives> </jats:inline-formula>. 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引用次数: 0

摘要

对于非胶体颗粒的中性浮力悬浮液,报告了泰勒-库埃特流(TCF)在共旋转机制(即旋转比 $\varOmega = \omega _o/\omega _i > 0$ ,其中 $\omega _i$ 和 $\omega _o$ 分别是内圆柱和外圆柱的角速度)中模式转换的首次实验结果,颗粒体积分数最高为 $\phi = 0.3$。虽然静止泰勒涡流(TVF)是稀悬浮液的主要分叉状态($\phi \leq ~0.05$ ),非轴对称振荡状态,如螺旋涡流(SVF)和带状(RIB),随着颗粒载荷的增加而出现主要分岔,在所有 $\varOmega \geq ~0$ 的情况下,随着 $\phi$ 的增加,发现主要分岔状态(TVF/SVF/RIB)总体上不再稳定。在较小的同向旋转($\varOmega \sim 0$)下,粒子对二级/三级振荡状态起着稳定($\phi < 0.1$)和失稳($\phi \geq ~0.1$)的双重作用。确定了 "粒子诱导 "螺旋涡旋的显著特征,并将其与在反旋转机制下运行的 "流体诱导 "螺旋涡旋的特征进行了对比。
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Instabilities and particle-induced patterns in co-rotating suspension Taylor–Couette flow
The first experimental results on pattern transitions in the co-rotation regime (i.e. the rotation ratio $\varOmega = \omega _o/\omega _i > 0$ , where $\omega _i$ and $\omega _o$ are the angular speeds of the inner and outer cylinders, respectively) of the Taylor–Couette flow (TCF) are reported for a neutrally buoyant suspension of non-colloidal particles, up to a particle volume fraction of $\phi = 0.3$ . While the stationary Taylor vortex flow (TVF) is the primary bifurcating state in dilute suspensions ( $\phi \leq ~0.05$ ), the non-axisymmetric oscillatory states, such as the spiral vortex flow (SVF) and the ribbon (RIB), appear as primary bifurcations with increasing particle loading, with an overall de-stabilization of the primary bifurcating states (TVF/SVF/RIB) being found with increasing $\phi$ for all $\varOmega \geq ~0$ . At small co-rotations ( $\varOmega \sim 0$ ), the particles play the dual role of stabilization ( $\phi < 0.1$ ) and destabilization ( $\phi \geq ~0.1$ ) on the secondary/tertiary oscillatory states. The distinctive features of the ‘particle-induced’ spiral vortices are identified and contrasted with those of the ‘fluid-induced’ spirals that operate in the counter-rotation regime.
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来源期刊
CiteScore
6.50
自引率
27.00%
发文量
945
审稿时长
5.1 months
期刊介绍: Journal of Fluid Mechanics is the leading international journal in the field and is essential reading for all those concerned with developments in fluid mechanics. It publishes authoritative articles covering theoretical, computational and experimental investigations of all aspects of the mechanics of fluids. Each issue contains papers on both the fundamental aspects of fluid mechanics, and their applications to other fields such as aeronautics, astrophysics, biology, chemical and mechanical engineering, hydraulics, meteorology, oceanography, geology, acoustics and combustion.
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