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High-strain-rate free-surface boundary-layer flows

Published online by Cambridge University Press:  20 April 2006

J. R. Bertschy ,
R. W. Chin  and
F. H. Abernathy
J. R. Bertschy
Affiliation:
Harvard University, Division of Applied Sciences, Cambridge, Massachusetts 02138 Present address: IBM, G.P.D. Lab., Dept F-44005, 5600 Cottle Road, San José, California 95193.
R. W. Chin
Affiliation:
Harvard University, Division of Applied Sciences, Cambridge, Massachusetts 02138 Present address: Shell Development Company, Westhollow Research Center E-1340, P.O. Box 1380, Houston, Texas 77001.
F. H. Abernathy
Affiliation:
Harvard University, Division of Applied Sciences, Cambridge, Massachusetts 02138
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Abstract

Two-dimensional boundary-layer flows of water down an inclined table were investigated in both the laminar and turbulent regimes. Mean, r.m.s. and skewness and velocity spectra were determined from streamwise velocity measurements. Two laser-Doppler anemometry methods were developed (for studying polymer-solution flows using this same water table) and compared with measurements obtained using hot-film anemometry. All three techniques obtained consistent results.

An analysis based on a von Mises transformation is presented which accurately predicts the mean-velocity profile and flow development in the laminar regime. High strain rates are achieved which can be varied independently of Reynolds number, and turbulent flows are easily generated by inserting a disturbance. These turbulent flows are surprisingly similar to more commonly investigated turbulent boundarylayer flows of much greater y+ extent. Turbulent water-table flows typically extend only to y+ = 100, yet mean velocity essentially follows the law of the wall, and intensity and skewness measurements are similar to those obtained in flows much less limited in y+.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 126 , January 1983 , pp. 443 - 461
Copyright
© 1983 Cambridge University Press

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