A mathematical model of turbulent drag reduction by highmolecularweight polymeric additives in a shear flow
Abstract
Drag reduction, or the mean velocity increase in a turbulent flow at a fixed pressure drop through the addition of tiny amounts (several parts per million) of highmolecularweight polymers (Thoms effect), has been known already for more than 60 years. Long ago it was understood that this effect is related to supramolecular structures formed in the flow. Recent experiments by Chu, Shaqfeh, and associates, where the motion of supramolecular structures was directly observed, made it possible to understand and quantify the dynamic interaction of the polymeric structures with the solvent (water) flow. These results lead to the construction of a mathematical model of the Thoms effect, based on the Kolmogorov (1942)Prandtl (1945) semiempirical theory of shear flow turbulence. This is the subject of the present letter.
 Publication:

Physics of Fluids
 Pub Date:
 September 2008
 DOI:
 10.1063/1.2979711
 arXiv:
 arXiv:0805.0110
 Bibcode:
 2008PhFl...20i1702B
 Keywords:

 47.27.W;
 47.50.d;
 47.10.A;
 47.85.lb;
 47.57.Ng;
 Boundaryfree shear flow turbulence;
 NonNewtonian fluid flows;
 Mathematical formulations;
 Drag reduction;
 Polymers and polymer solutions;
 Physics  Fluid Dynamics;
 Physics  Classical Physics
 EPrint:
 4 pages: 2 figures