Stretching and alignment in chaotic and turbulent flows

Michael Tabor, I. Klapper

Research output: Contribution to journalArticle

40 Citations (Scopus)

Abstract

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
Volume4
Issue number6
DOIs
StatePublished - 1994

Fingerprint

Turbulent Flow
turbulent flow
Alignment
alignment
Passive Scalar
Line
Vorticity
Lyapunov Exponent
scalars
Scalar Field
Kinematics
Dynamical system
Magnetic Field
Gradient
Fluid
dynamical systems
vorticity
kinematics
exponents
gradients

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics

Cite this

Stretching and alignment in chaotic and turbulent flows. / Tabor, Michael; Klapper, I.

In: Chaos, Solitons and Fractals, Vol. 4, No. 6, 1994, p. 1031-1055.

Research output: Contribution to journalArticle

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