TY - JOUR

T1 - A cascade theory of drag reduction

AU - Tabor, M.

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.

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

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

M3 - Article

AN - SCOPUS:84956225618

SN - 0295-5075

VL - 2

SP - 519

EP - 522

JO - Journal de Physique (Paris), Lettres

JF - Journal de Physique (Paris), Lettres

IS - 7

ER -