Alignment of vorticity and rods with Lagrangian fluid stretching in turbulence

Rui Ni, Nicholas T. Ouellette, Greg A. Voth

Research output: Contribution to journalArticle

47 Citations (Scopus)

Abstract

Stretching in continuum mechanics is naturally described using the Cauchy-Green strain tensors. These tensors quantify the Lagrangian stretching experienced by a material element, and provide a powerful way to study processes in turbulent fluid flows that involve stretching such as vortex stretching and alignment of anisotropic particles. Analysing data from a simulation of isotropic turbulence, we observe preferential alignment between rods and vorticity. We show that this alignment arises because both of these quantities independently tend to align with the strongest Lagrangian stretching direction, as defined by the maximum eigenvector of the left Cauchy-Green strain tensor. In particular, rods approach almost perfect alignment with the strongest stretching direction. The alignment of vorticity with stretching is weaker, but still much stronger than previously observed alignment of vorticity with the eigenvectors of the Eulerian strain rate tensor. The alignment of strong vorticity is almost the same as that of rods that have experienced the same stretching.

Original languageEnglish (US)
JournalJournal of Fluid Mechanics
Volume743
DOIs
StatePublished - Jan 1 2014

Fingerprint

Vorticity
vorticity
Stretching
Turbulence
rods
turbulence
alignment
Fluids
fluids
Tensors
tensors
Eigenvalues and eigenfunctions
eigenvectors
continuum mechanics
Continuum mechanics
isotropic turbulence
strain rate
fluid flow
Flow of fluids
Strain rate

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Ni, Rui ; Ouellette, Nicholas T. ; Voth, Greg A. / Alignment of vorticity and rods with Lagrangian fluid stretching in turbulence. In: Journal of Fluid Mechanics. 2014 ; Vol. 743.
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Alignment of vorticity and rods with Lagrangian fluid stretching in turbulence. / Ni, Rui; Ouellette, Nicholas T.; Voth, Greg A.

In: Journal of Fluid Mechanics, Vol. 743, 01.01.2014.

Research output: Contribution to journalArticle

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