### 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 language | English (US) |
---|---|

Pages (from-to) | 519-522 |

Number of pages | 4 |

Journal | EPL |

Volume | 2 |

Issue number | 7 |

DOIs | |

State | Published - Oct 1 1986 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*EPL*,

*2*(7), 519-522. https://doi.org/10.1209/0295-5075/2/7/005

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

Research output: Contribution to journal › Article

*EPL*, vol. 2, no. 7, pp. 519-522. https://doi.org/10.1209/0295-5075/2/7/005

}

TY - JOUR

T1 - A cascade theory of drag reduction

AU - Tabor, Michael

PY - 1986/10/1

Y1 - 1986/10/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84956225618&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84956225618&partnerID=8YFLogxK

U2 - 10.1209/0295-5075/2/7/005

DO - 10.1209/0295-5075/2/7/005

M3 - Article

VL - 2

SP - 519

EP - 522

JO - Europhysics Letters

JF - Europhysics Letters

SN - 0295-5075

IS - 7

ER -