Journal article
On the logarithmic mean profile
J Klewicki, P Fife, T Wei
Journal of Fluid Mechanics | Published : 2009
Abstract
Elements of the first-principles-based theory of Wei et al. (J. Fluid Mech., vol. 522, 2005, p. 303), Fife et al. (Multiscale Model. Simul., vol. 4, 2005a, p. 936; J. Fluid Mech., vol. 532, 2005b, p. 165) and Fife, Klewicki & Wei (J. Discrete Continuous Dyn. Syst., vol. 24, 2009, p. 781) are clarified and their veracity tested relative to the properties of the logarithmic mean velocity profile. While the approach employed broadly reveals the mathematical structure admitted by the time averaged NavierStokes equations, results are primarily provided for fully developed pressure driven flow in a two-dimensional channel. The theory demonstrates that the appropriately simplified mean differential..
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Awarded by National Science Foundation
Funding Acknowledgements
This work was partially supported by the National Science Foundation (CBET-0555223, grant monitor, W. Schultz) and the Office of Naval Research (N00014-08-1-0836, grant monitor, R. Joslin). The authors thank Drs Hoyas and Jimenez and Drs Kawamura, Abe and Shingai for making their simulation data available on their websites. The authors also thank the referees and editor for their recommendations.