Clustering and chaotic motion of heavy inertial particles in an isolated non-axisymmetric vortex
We investigate the dynamics of heavy inertial particles in a flow field due to an isolated, non-axisymmetric vortex. For our study, we consider a canonical elliptical vortex – the Kirchhoff vortex and its strained variant, the Kida vortex. Contrary to the anticipated centrifugal dispersion of inerti...
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description | We investigate the dynamics of heavy inertial particles in a flow field due to an isolated, non-axisymmetric vortex. For our study, we consider a canonical elliptical vortex – the Kirchhoff vortex and its strained variant, the Kida vortex. Contrary to the anticipated centrifugal dispersion of inertial particles, which is typical in open vortical flows, we observe the clustering of particles around co-rotating attractors near the Kirchhoff vortex due to its non-axisymmetric nature. We analyse the inertia-modified stability characteristics of the fixed points, highlighting how some of the fixed points migrate in physical space, collide and then annihilate with increasing particle inertia. The introduction of external straining, the Kida vortex being an example, introduces chaotic tracer transport. Using a Melnikov analysis, we show that particle inertia and external straining can compete, where chaotic transport can be suppressed beyond a critical value of particle inertia. |
doi_str_mv | 10.1017/jfm.2024.831 |
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For our study, we consider a canonical elliptical vortex – the Kirchhoff vortex and its strained variant, the Kida vortex. Contrary to the anticipated centrifugal dispersion of inertial particles, which is typical in open vortical flows, we observe the clustering of particles around co-rotating attractors near the Kirchhoff vortex due to its non-axisymmetric nature. We analyse the inertia-modified stability characteristics of the fixed points, highlighting how some of the fixed points migrate in physical space, collide and then annihilate with increasing particle inertia. The introduction of external straining, the Kida vortex being an example, introduces chaotic tracer transport. Using a Melnikov analysis, we show that particle inertia and external straining can compete, where chaotic transport can be suppressed beyond a critical value of particle inertia.</description><identifier>ISSN: 0022-1120</identifier><identifier>EISSN: 1469-7645</identifier><identifier>DOI: 10.1017/jfm.2024.831</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>Axisymmetric flow ; Clustering ; Gravity ; Inertia ; Investigations ; JFM Papers ; Particle inertia ; Sedimentation & deposition ; Tracers ; Vortices</subject><ispartof>Journal of fluid mechanics, 2024-11, Vol.998, Article A62</ispartof><rights>The Author(s), 2024. Published by Cambridge University Press.</rights><rights>The Author(s), 2024. Published by Cambridge University Press. 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Using a Melnikov analysis, we show that particle inertia and external straining can compete, where chaotic transport can be suppressed beyond a critical value of particle inertia.</description><subject>Axisymmetric flow</subject><subject>Clustering</subject><subject>Gravity</subject><subject>Inertia</subject><subject>Investigations</subject><subject>JFM Papers</subject><subject>Particle inertia</subject><subject>Sedimentation & deposition</subject><subject>Tracers</subject><subject>Vortices</subject><issn>0022-1120</issn><issn>1469-7645</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>IKXGN</sourceid><recordid>eNptkEtLAzEUhYMoWKs7f0DArVPznEyWUnyB4EbXMTNJ2pSZSU3S0v57U1pw4-YeuJxzLvcD4BajGUZYPKzcMCOIsFlD8RmYYFbLStSMn4MJQoRUGBN0Ca5SWiGEKZJiAr7n_SZlG_24gHo0sFvqkH0HhzLDCIODS6u3e-hHG7PXPVzrol1vU1mVBPQp9DpbA8cwVnrn034YbI6lYhtitrtrcOF0n-zNSafg6_npc_5avX-8vM0f36uOEJErIUhjBCJCts5o0UhOneS1aLHmSGPdCKkNo4bWvKGyPMM72XS8ZZy1jhlHp-Du2LuO4WdjU1arsIljOakoJlQKRhEtrvujq4shpWidWkc_6LhXGKkDQ1UYqgNDVRgW--xk10MbvVnYv9Z_A7-uJnQ3</recordid><startdate>20241105</startdate><enddate>20241105</enddate><creator>Nath, Anu V.S.</creator><creator>Roy, Anubhab</creator><general>Cambridge University Press</general><scope>IKXGN</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>7U5</scope><scope>7UA</scope><scope>8FD</scope><scope>C1K</scope><scope>F1W</scope><scope>FR3</scope><scope>H8D</scope><scope>H96</scope><scope>KR7</scope><scope>L.G</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0002-0049-2653</orcidid><orcidid>https://orcid.org/0000-0003-2144-2978</orcidid></search><sort><creationdate>20241105</creationdate><title>Clustering and chaotic motion of heavy inertial particles in an isolated non-axisymmetric vortex</title><author>Nath, Anu V.S. ; Roy, Anubhab</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c227t-7728d70279bfda78953f9567b1a50a1a879ad43d3658390225c98c5b454bf4df3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Axisymmetric flow</topic><topic>Clustering</topic><topic>Gravity</topic><topic>Inertia</topic><topic>Investigations</topic><topic>JFM Papers</topic><topic>Particle inertia</topic><topic>Sedimentation & deposition</topic><topic>Tracers</topic><topic>Vortices</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Nath, Anu V.S.</creatorcontrib><creatorcontrib>Roy, Anubhab</creatorcontrib><collection>Cambridge University Press Wholly Gold Open Access Journals</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Water Resources Abstracts</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>Civil Engineering Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of fluid mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Nath, Anu V.S.</au><au>Roy, Anubhab</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Clustering and chaotic motion of heavy inertial particles in an isolated non-axisymmetric vortex</atitle><jtitle>Journal of fluid mechanics</jtitle><addtitle>J. Fluid Mech</addtitle><date>2024-11-05</date><risdate>2024</risdate><volume>998</volume><artnum>A62</artnum><issn>0022-1120</issn><eissn>1469-7645</eissn><abstract>We investigate the dynamics of heavy inertial particles in a flow field due to an isolated, non-axisymmetric vortex. For our study, we consider a canonical elliptical vortex – the Kirchhoff vortex and its strained variant, the Kida vortex. Contrary to the anticipated centrifugal dispersion of inertial particles, which is typical in open vortical flows, we observe the clustering of particles around co-rotating attractors near the Kirchhoff vortex due to its non-axisymmetric nature. We analyse the inertia-modified stability characteristics of the fixed points, highlighting how some of the fixed points migrate in physical space, collide and then annihilate with increasing particle inertia. The introduction of external straining, the Kida vortex being an example, introduces chaotic tracer transport. 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subjects | Axisymmetric flow Clustering Gravity Inertia Investigations JFM Papers Particle inertia Sedimentation & deposition Tracers Vortices |
title | Clustering and chaotic motion of heavy inertial particles in an isolated non-axisymmetric vortex |
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