An Upper Bound on the Stress in Plane Couette Flow

[+] Author and Article Information
E. C. Nickerson

Engineering Research Center, Colorado State University, Fort Collins, Colo.

J. Fluids Eng 95(4), 528-532 (Dec 01, 1973) (5 pages) doi:10.1115/1.3447066 History: Received January 12, 1973; Online October 12, 2010


An absolute upper bound on the momentum number in turbulent plane Couette flow is obtained proportional to the two-thirds power of the Reynolds number. The derivation is based upon the energy integral and the specification of an internally consistent constraint on the fluctuating velocity field. A boundary layer approximation for the mean velocity profile is also obtained and the results are found to be consistent with the two-thirds power law.

Copyright © 1973 by ASME
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