A cascade theory of drag reduction

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Abstract

We describe homogeneous, isotropic, three-dimensional turbulence in a dilute solution of neutral,flexible chains. Energy flows by the usual cascade down to a scale r such that the shear rates Ur U being the velocity become equal to the relaxation rate of one coil. At small scales r, the molecules follow affinely the deformation of a local volume element. At a certain smaller scale r the elastic stresses in the coils become comparable to the Reynolds stresses. The polymer truncates the cascade when r becomes larger than the usual Kolmogorov limit r. This defines a critical concentration, which depends on both polymer and flow parameters.

Original languageEnglish (US)
Pages (from-to)519-522
Number of pages4
JournalEPL
Volume2
Issue number7
DOIs
StatePublished - Oct 1 1986
Externally publishedYes

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drag reduction
cascades
coils
Reynolds stress
polymers
turbulence
shear
molecules
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

A cascade theory of drag reduction. / Tabor, Michael.

In: EPL, Vol. 2, No. 7, 01.10.1986, p. 519-522.

Research output: Contribution to journalArticle

Tabor, Michael. / A cascade theory of drag reduction. In: EPL. 1986 ; Vol. 2, No. 7. pp. 519-522.
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