Journal article

On the maximum drag reduction due to added polymers in Poiseuille flow

James D Woodcock, John E Sader, Ivan Marusic

JOURNAL OF FLUID MECHANICS | CAMBRIDGE UNIV PRESS | Published : 2010

Abstract

The addition of elastic polymers to turbulent liquids is known to produce significant drag reduction. In this study, we prove that the drag in pipe and channel flows of an unforced laminar fluid constitutes a lower bound for the drag of a fluid containing dilute elastic polymers. Further, the addition of elastic polymers to laminar fluids invariably increases drag. This proof does not rely on the adoption of a particular constitutive equation for the polymer force, and would also be applicable to other similar methods of drag reduction, which are also achieved by the addition of certain particles to a flow. Examples of such methods include the addition of surfactants to a flowing liquid and ..

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Grants

Funding Acknowledgements

The authors wish to acknowledge the financial support of the Australian Research Council and the University of Melbourne Postgraduate Scholarship Scheme.