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Published October 1, 1977 | public
Journal Article Open

Dependence of effective slip on wall roughness in dilute polymer solutions

Saffman, P. G.

Abstract

A hypothesis is made for the modification of a complete turbulence model to take account of a dilute polymer concentration. The equations are integrated in the wall layer and give the effective slip u*DeltaB as functions of wall roughness and empirical polymer properties, where u* is the friction velocity and DeltaB is the change of the constant in the logarithmic law of the wall. Results in qualitative agreement with experiment are found.

Additional Information

Copyright © 1977 American Institute of Physics. I wish to thank Dr. Fausto Milinazzo for invaluable help with the numerical solution of the differential equations. This work was supported by the Energy Research and Development Administration (AT 04-3-767).

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August 22, 2023
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