Drag reduction in turbulent flows by polymers

Bhattacharjee, J. K. ; Thirumalai, D. (1991) Drag reduction in turbulent flows by polymers Physical Review Letters, 67 (2). pp. 196-199. ISSN 0031-9007

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Official URL: http://prl.aps.org/abstract/PRL/v67/i2/p196_1

Related URL: http://dx.doi.org/10.1103/PhysRevLett.67.196


A hydrodynamic model for turbulence in dilute polymer solution is used to describe drag reduction. It is shown that flexible polymers lead to an enhancement of molecular viscosity at small length scales while at intermediate length scales the effective viscosity is decreased. The onset of drag reduction is predicted to occur only above a minimum value of the polymer concentration, cm. A direct calculation of the dependence of cm on the energy input per unit mass, ?, shows that cm~?-1. Comparing this result with the scaling theory of de Gennes allows us to conclude that the exponent describing the power-law dependence of polymer deformation on spatial scale is 4/5.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:2657
Deposited On:08 Oct 2010 08:42
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