Helicity and geometric nature of particle trajectories in homogeneous isotropic turbulence

Yeontaek Choi, Yongnam Park, Chang Hoon Lee

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The role of helicity in Lagrangian turbulence is investigated using direct numerical simulation of homogeneous isotropic turbulence. Probability density functions and autocorrelations along a fluid particle trajectory associated with geometric quantities such as curvature and torsion of the Lagrangian trajectory are provided. The relationship between helicity and the ratio of torsion to curvature is investigated. We found that probability density functions of torsion and torsion normalized by curvature clearly show well-established slope in log-log plots. Finally, the relationship between helicity, acceleration and geometric quantities are discussed.

Original languageEnglish
Pages (from-to)482-487
Number of pages6
JournalInternational Journal of Heat and Fluid Flow
Volume31
Issue number3
DOIs
Publication statusPublished - 2010 Jun 1

Fingerprint

homogeneous turbulence
isotropic turbulence
particle trajectories
Torsional stress
torsion
Turbulence
Trajectories
curvature
probability density functions
Probability density function
Direct numerical simulation
direct numerical simulation
Autocorrelation
autocorrelation
plots
turbulence
trajectories
slopes
Fluids
fluids

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

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Helicity and geometric nature of particle trajectories in homogeneous isotropic turbulence. / Choi, Yeontaek; Park, Yongnam; Lee, Chang Hoon.

In: International Journal of Heat and Fluid Flow, Vol. 31, No. 3, 01.06.2010, p. 482-487.

Research output: Contribution to journalArticle

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AU - Lee, Chang Hoon

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AB - The role of helicity in Lagrangian turbulence is investigated using direct numerical simulation of homogeneous isotropic turbulence. Probability density functions and autocorrelations along a fluid particle trajectory associated with geometric quantities such as curvature and torsion of the Lagrangian trajectory are provided. The relationship between helicity and the ratio of torsion to curvature is investigated. We found that probability density functions of torsion and torsion normalized by curvature clearly show well-established slope in log-log plots. Finally, the relationship between helicity, acceleration and geometric quantities are discussed.

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