Alignment statistics of rods with the Lagrangian stretching direction in a channel flow
In homogeneous isotropic turbulence, slender rods are known to align with the Lagrangian stretching direction. However, how the degree of alignment depends on the aspect ratio of the rod is not understood. Moreover, particle-laden flows are often anisotropic and inhomogeneous. Therefore we study the...
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| description | In homogeneous isotropic turbulence, slender rods are known to align with the Lagrangian stretching direction. However, how the degree of alignment depends on the aspect ratio of the rod is not understood. Moreover, particle-laden flows are often anisotropic and inhomogeneous. Therefore we study the alignment of rods with the Lagrangian stretching direction in a channel flow, which is approximately homogeneous and isotropic near the centre but inhomogeneous and anisotropic near the walls. Our main question is how the distribution of relative angles between a rod and the Lagrangian stretching direction depends on the aspect ratio of the rod and upon the distance of the rod from the channel wall. We find that this distribution exhibits two regimes: a plateau at small angles corresponding to random uncorrelated motion, and power-law tails due to large excursions. We find that slender rods near the channel centre align better with the Lagrangian stretching direction compared with those near the channel wall. These observations are explained in terms of simple statistical models based on Jeffery's equation, qualitatively near the channel centre and quantitatively near the channel wall. Lastly we discuss the consequences of our results for the distribution of relative angles between the orientations of nearby rods (Zhao et al., Phys. Rev. Fluids, vol. 4, 2019, 054602). |
| doi_str_mv | 10.1017/jfm.2020.547 |
| format | Article |
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However, how the degree of alignment depends on the aspect ratio of the rod is not understood. Moreover, particle-laden flows are often anisotropic and inhomogeneous. Therefore we study the alignment of rods with the Lagrangian stretching direction in a channel flow, which is approximately homogeneous and isotropic near the centre but inhomogeneous and anisotropic near the walls. Our main question is how the distribution of relative angles between a rod and the Lagrangian stretching direction depends on the aspect ratio of the rod and upon the distance of the rod from the channel wall. We find that this distribution exhibits two regimes: a plateau at small angles corresponding to random uncorrelated motion, and power-law tails due to large excursions. We find that slender rods near the channel centre align better with the Lagrangian stretching direction compared with those near the channel wall. These observations are explained in terms of simple statistical models based on Jeffery's equation, qualitatively near the channel centre and quantitatively near the channel wall. Lastly we discuss the consequences of our results for the distribution of relative angles between the orientations of nearby rods (Zhao et al., Phys. Rev. Fluids, vol. 4, 2019, 054602).</description><identifier>ISSN: 0022-1120</identifier><identifier>EISSN: 1469-7645</identifier><identifier>DOI: 10.1017/jfm.2020.547</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>Alignment ; Anisotropy ; Aspect ratio ; Bacteria ; Channel flow ; Computational fluid dynamics ; Direction ; Distribution ; dynamics ; ellipsoidal particles ; Fluid flow ; Fluid mechanics ; Fluids ; Fysik ; Isotropic turbulence ; JFM Papers ; Laboratories ; Mathematical models ; Mechanics ; motion ; particle/fluid flow ; Physical Sciences ; Physics ; Physics, Fluids & Plasmas ; Rods ; Science & Technology ; Statistical analysis ; Statistical methods ; Statistical models ; Stretching ; Symmetry ; Technology ; Turbulence ; turbulence simulation ; Velocity</subject><ispartof>Journal of fluid mechanics, 2020-10, Vol.901, Article 16</ispartof><rights>The Author(s), 2020. Published by Cambridge University Press</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>true</woscitedreferencessubscribed><woscitedreferencescount>16</woscitedreferencescount><woscitedreferencesoriginalsourcerecordid>wos000562422800001</woscitedreferencesoriginalsourcerecordid><citedby>FETCH-LOGICAL-c340t-ce46c7061ab38840b5848c6b9187d593ec4aa0f5a961fc072235248b6c7d8ae13</citedby><cites>FETCH-LOGICAL-c340t-ce46c7061ab38840b5848c6b9187d593ec4aa0f5a961fc072235248b6c7d8ae13</cites><orcidid>0000-0002-3672-6538 ; 0000-0002-6544-1830 ; 0000-0001-5779-1163 ; 0000-0002-3642-3051</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.cambridge.org/core/product/identifier/S0022112020005479/type/journal_article$$EHTML$$P50$$Gcambridge$$H</linktohtml><link.rule.ids>164,230,315,782,786,887,27931,27932,28255,55635</link.rule.ids><backlink>$$Uhttps://gup.ub.gu.se/publication/297441$$DView record from Swedish Publication Index$$Hfree_for_read</backlink></links><search><creatorcontrib>Cui, Z.</creatorcontrib><creatorcontrib>Dubey, A.</creatorcontrib><creatorcontrib>Zhao, L.</creatorcontrib><creatorcontrib>Mehlig, B.</creatorcontrib><title>Alignment statistics of rods with the Lagrangian stretching direction in a channel flow</title><title>Journal of fluid mechanics</title><addtitle>J FLUID MECH</addtitle><addtitle>J. Fluid Mech</addtitle><description>In homogeneous isotropic turbulence, slender rods are known to align with the Lagrangian stretching direction. However, how the degree of alignment depends on the aspect ratio of the rod is not understood. Moreover, particle-laden flows are often anisotropic and inhomogeneous. Therefore we study the alignment of rods with the Lagrangian stretching direction in a channel flow, which is approximately homogeneous and isotropic near the centre but inhomogeneous and anisotropic near the walls. Our main question is how the distribution of relative angles between a rod and the Lagrangian stretching direction depends on the aspect ratio of the rod and upon the distance of the rod from the channel wall. We find that this distribution exhibits two regimes: a plateau at small angles corresponding to random uncorrelated motion, and power-law tails due to large excursions. We find that slender rods near the channel centre align better with the Lagrangian stretching direction compared with those near the channel wall. These observations are explained in terms of simple statistical models based on Jeffery's equation, qualitatively near the channel centre and quantitatively near the channel wall. Lastly we discuss the consequences of our results for the distribution of relative angles between the orientations of nearby rods (Zhao et al., Phys. Rev. Fluids, vol. 4, 2019, 054602).</description><subject>Alignment</subject><subject>Anisotropy</subject><subject>Aspect ratio</subject><subject>Bacteria</subject><subject>Channel flow</subject><subject>Computational fluid dynamics</subject><subject>Direction</subject><subject>Distribution</subject><subject>dynamics</subject><subject>ellipsoidal particles</subject><subject>Fluid flow</subject><subject>Fluid mechanics</subject><subject>Fluids</subject><subject>Fysik</subject><subject>Isotropic turbulence</subject><subject>JFM Papers</subject><subject>Laboratories</subject><subject>Mathematical models</subject><subject>Mechanics</subject><subject>motion</subject><subject>particle/fluid flow</subject><subject>Physical Sciences</subject><subject>Physics</subject><subject>Physics, Fluids & Plasmas</subject><subject>Rods</subject><subject>Science & Technology</subject><subject>Statistical analysis</subject><subject>Statistical methods</subject><subject>Statistical models</subject><subject>Stretching</subject><subject>Symmetry</subject><subject>Technology</subject><subject>Turbulence</subject><subject>turbulence 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Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Cui, Z.</au><au>Dubey, A.</au><au>Zhao, L.</au><au>Mehlig, B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Alignment statistics of rods with the Lagrangian stretching direction in a channel flow</atitle><jtitle>Journal of fluid mechanics</jtitle><stitle>J FLUID MECH</stitle><addtitle>J. Fluid Mech</addtitle><date>2020-10-25</date><risdate>2020</risdate><volume>901</volume><artnum>16</artnum><artnum>A16</artnum><issn>0022-1120</issn><eissn>1469-7645</eissn><abstract>In homogeneous isotropic turbulence, slender rods are known to align with the Lagrangian stretching direction. However, how the degree of alignment depends on the aspect ratio of the rod is not understood. Moreover, particle-laden flows are often anisotropic and inhomogeneous. Therefore we study the alignment of rods with the Lagrangian stretching direction in a channel flow, which is approximately homogeneous and isotropic near the centre but inhomogeneous and anisotropic near the walls. Our main question is how the distribution of relative angles between a rod and the Lagrangian stretching direction depends on the aspect ratio of the rod and upon the distance of the rod from the channel wall. We find that this distribution exhibits two regimes: a plateau at small angles corresponding to random uncorrelated motion, and power-law tails due to large excursions. We find that slender rods near the channel centre align better with the Lagrangian stretching direction compared with those near the channel wall. These observations are explained in terms of simple statistical models based on Jeffery's equation, qualitatively near the channel centre and quantitatively near the channel wall. Lastly we discuss the consequences of our results for the distribution of relative angles between the orientations of nearby rods (Zhao et al., Phys. Rev. Fluids, vol. 4, 2019, 054602).</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/jfm.2020.547</doi><tpages>24</tpages><orcidid>https://orcid.org/0000-0002-3672-6538</orcidid><orcidid>https://orcid.org/0000-0002-6544-1830</orcidid><orcidid>https://orcid.org/0000-0001-5779-1163</orcidid><orcidid>https://orcid.org/0000-0002-3642-3051</orcidid></addata></record> |
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| subjects | Alignment Anisotropy Aspect ratio Bacteria Channel flow Computational fluid dynamics Direction Distribution dynamics ellipsoidal particles Fluid flow Fluid mechanics Fluids Fysik Isotropic turbulence JFM Papers Laboratories Mathematical models Mechanics motion particle/fluid flow Physical Sciences Physics Physics, Fluids & Plasmas Rods Science & Technology Statistical analysis Statistical methods Statistical models Stretching Symmetry Technology Turbulence turbulence simulation Velocity |
| title | Alignment statistics of rods with the Lagrangian stretching direction in a channel flow |
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