Production and Dissipation of Energy in the Turbulent Flow of a Particle-Fluid Mixture, With Some Results on Drag Reduction

[+] Author and Article Information
D. A. Drew

Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, N. Y.

J. Appl. Mech 43(4), 543-547 (Dec 01, 1976) (5 pages) doi:10.1115/1.3423926 History: Received October 01, 1975; Online July 12, 2010


The production and dissipation of energy in a two-phase model for particle-fluid turbulent flow is considered. For plane parallel mean flow use of several scaling arguments yields a balance between production and drag dissipation for the particles, and between production and viscous dissipation for the fluid. A simple particle motion model is used to obtain estimates of the drag dissipation. Energy balance considerations are made for situations where drag reduction by the addition of particles is observed. Significant drag reduction is found to occur for sufficiently large Reynolds number. Discussion of the extra effectiveness of polymers for drag reduction is given within the framework of energy balance.

Copyright © 1976 by ASME
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