Hydrodynamic interactions and extreme particle clustering in turbulence.

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Title: Hydrodynamic interactions and extreme particle clustering in turbulence.
Authors: Bragg, Andrew D.1 andrew.bragg@duke.edu, Hammond, Adam L.2, Dhariwal, Rohit3, Hui Meng2 huimeng@buffalo.edu
Source: Journal of Fluid Mechanics. 2/25/2022, Vol. 933, pA31-1-A31-23. 23p.
Subjects: Clustering of particles, Turbulence, Particle interactions, Error analysis in mathematics, Number theory, Radial distribution function, Intramolecular proton transfer reactions
Abstract: Expanding recent observations by Hammond & Meng (J. Fluid Mech., vol. 921, 2021, A16), we present a range of detailed experimental data of the radial distribution function (r.d.f.) of inertial particles in isotropic turbulence for different Stokes number, St, showing that the r.d.f. grows explosively with decreasing separation r, exhibiting r-6 scaling as the collision radius is approached, regardless of St or particle radius a. To understand such explosive clustering, we correct a number of errors in the theory by Yavuz et al. (Phys. Rev. Lett., vol. 120, 2018, 244504) based on hydrodynamic interactions between pairs of small, weakly inertial particles. A comparison between the corrected theory and the experiment shows that the theory by Yavuz et al. underpredicts the r.d.f. by orders of magnitude. To explain this discrepancy, we explore several alternative mechanisms for this discrepancy that were not included in the theory and show that none of them are likely the explanation. This suggests new, yet-to-be-identified physical mechanisms are at play, requiring further investigation and new theories. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Hydrodynamic interactions and extreme particle clustering in turbulence.
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  Data: <searchLink fieldCode="AR" term="%22Bragg%2C+Andrew+D%2E%22">Bragg, Andrew D.</searchLink><relatesTo>1</relatesTo><i> andrew.bragg@duke.edu</i><br /><searchLink fieldCode="AR" term="%22Hammond%2C+Adam+L%2E%22">Hammond, Adam L.</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Dhariwal%2C+Rohit%22">Dhariwal, Rohit</searchLink><relatesTo>3</relatesTo><br /><searchLink fieldCode="AR" term="%22Hui+Meng%22">Hui Meng</searchLink><relatesTo>2</relatesTo><i> huimeng@buffalo.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Fluid+Mechanics%22">Journal of Fluid Mechanics</searchLink>. 2/25/2022, Vol. 933, pA31-1-A31-23. 23p.
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  Data: <searchLink fieldCode="DE" term="%22Clustering+of+particles%22">Clustering of particles</searchLink><br /><searchLink fieldCode="DE" term="%22Turbulence%22">Turbulence</searchLink><br /><searchLink fieldCode="DE" term="%22Particle+interactions%22">Particle interactions</searchLink><br /><searchLink fieldCode="DE" term="%22Error+analysis+in+mathematics%22">Error analysis in mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Number+theory%22">Number theory</searchLink><br /><searchLink fieldCode="DE" term="%22Radial+distribution+function%22">Radial distribution function</searchLink><br /><searchLink fieldCode="DE" term="%22Intramolecular+proton+transfer+reactions%22">Intramolecular proton transfer reactions</searchLink>
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  Label: Abstract
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  Data: Expanding recent observations by Hammond & Meng (J. Fluid Mech., vol. 921, 2021, A16), we present a range of detailed experimental data of the radial distribution function (r.d.f.) of inertial particles in isotropic turbulence for different Stokes number, St, showing that the r.d.f. grows explosively with decreasing separation r, exhibiting r-6 scaling as the collision radius is approached, regardless of St or particle radius a. To understand such explosive clustering, we correct a number of errors in the theory by Yavuz et al. (Phys. Rev. Lett., vol. 120, 2018, 244504) based on hydrodynamic interactions between pairs of small, weakly inertial particles. A comparison between the corrected theory and the experiment shows that the theory by Yavuz et al. underpredicts the r.d.f. by orders of magnitude. To explain this discrepancy, we explore several alternative mechanisms for this discrepancy that were not included in the theory and show that none of them are likely the explanation. This suggests new, yet-to-be-identified physical mechanisms are at play, requiring further investigation and new theories. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1017/jfm.2021.1099
    Languages:
      – Code: eng
        Text: English
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        PageCount: 23
        StartPage: A31-1
    Subjects:
      – SubjectFull: Clustering of particles
        Type: general
      – SubjectFull: Turbulence
        Type: general
      – SubjectFull: Particle interactions
        Type: general
      – SubjectFull: Error analysis in mathematics
        Type: general
      – SubjectFull: Number theory
        Type: general
      – SubjectFull: Radial distribution function
        Type: general
      – SubjectFull: Intramolecular proton transfer reactions
        Type: general
    Titles:
      – TitleFull: Hydrodynamic interactions and extreme particle clustering in turbulence.
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            NameFull: Bragg, Andrew D.
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            NameFull: Hammond, Adam L.
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            NameFull: Dhariwal, Rohit
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            NameFull: Hui Meng
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            – D: 25
              M: 02
              Text: 2/25/2022
              Type: published
              Y: 2022
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              Value: 933
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