Stretching and alignment in chaotic and turbulent flows

M. Tabor, I. Klapper

Research output: Contribution to journalArticlepeer-review

54 Scopus citations


The kinematical and dynamical issues involved in stretching and alignment in chaotic and turbulent flows are examined. Dynamical systems tools, such as Lyapunov exponents, are discussed in the context of fluid mechanical problems and their connection with stretching rates in turbulent flows. Formalisms for the stretching and alignment of passive scalars, passive vectors and nonpassive vectors are developed and the interplay between kinematics and dynamics emphasized. This enables us to compare and contrast the behavior of line elements, gradients of scalar fields, vorticity and magnetic field lines.

Original languageEnglish (US)
Pages (from-to)1031-1055
Number of pages25
JournalChaos, solitons and fractals
Issue number6
StatePublished - Jun 1994
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • General Mathematics
  • General Physics and Astronomy
  • Applied Mathematics


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