### 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) |
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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 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Tabor, M. (1986). A cascade theory of drag reduction.

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