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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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References

Abernathy, F. H., Bertschy, J. R. & Chin, R. W. 1977 Turbulence spectra using laser-Doppler anemometry and selective seeding. In Proc. 5th Biennial Symp. on Turbulence, Missouri-Rolla, Paper P.S. 13.
Abernathy, F. H., Bertschy, J. R., Chin, R. W. & Keyes, D. E. 1980 Polymer induced fluctuations in high strain laminar flows J. Rheol. 24, 647–665.Google Scholar
Bertschy, J. R. 1979 Laminar and turbulent boundary layer flows of drag-reducing solutions. Ph.D. thesis, Division of Applied Sciences, Harvard University.
Bertschy, J. R. & Abernathy, F. H. 1977 Modifications to laminar and turbulent boundary layers due to the addition of dilute polymer solutions. In Proc. 2nd Int. Conf. on Drag Reduction, BHRA Fluid Engineering, Paper G1.
Bertschy, J. R. & Abernathy, F. H. 1981 Novel method of traversing a forward scatter laser-Doppler anemometer Rev. Sci. Instrum. 52, 1013–1015.Google Scholar
Bruin, G. J. DE 1974 Stability of a layer of liquid flowing down an inclined plane J. Engng Math. 8, 259–270.Google Scholar
Bullock, K. J., Cooper, R. E. & Abernathy, F. H. 1978 Structural similarity in radial correlations and spectra of longitudinal velocity fluctuations in pipe flow J. Fluid Mech. 88, 585–608.Google Scholar
Coles, D. 1978 A model for flow in the viscous sublayer. In Proc. Workshop on Coherent Structure of Turbulent Boundary Layers, Lehigh University.
Emmons, H. W. 1951 The laminar-turbulent transition in a boundary layer – Part I J. Aero. Sci. 18, 490–498.Google Scholar
Hansen, R. J., Little, R. C., Reischman, M. M. & Kelleher, M. D. 1974 Stability and the laminar to turbulent transition in the pipe flows of drag reducing polymer solutions. In Proc. 1st Int. Conf. on Drag Reduction, BHRA Fluid Engineering, Paper B4.
Hinze, J. O. 1978 Turbulence, 2nd edn. McGraw-Hill.
Jones, W. M., Marshall, D. E. & Walker, P. C. 1976 The flow of dilute aqueous solutions of macromolecules in various geometries: II. Straight pipes of circular cross-section. J. Phys. D (Appl. Phys.) 9, 735–752.Google Scholar
Lin, S. P. 1967 Instability of a liquid film flowing down an inclined plane Phys. Fluids 10, 308–313.Google Scholar
Mises, R. von 1927 Bemerkungen zur Hydrodynamik Z. angew. Math. Mech. 7, 425–431.Google Scholar
Mitchell, A. R. & Thomson, J. Y. 1958 Finite difference methods of the solutions of the von Mises boundary layer equation with special reference to conditions near a singularity Z. angew. Math. Phys. 9, 26–37.Google Scholar
Morrison, W. R. B. & Kronauer, R. E. 1969 Structural similarity for fully developed turbulence in smooth tubes J. Fluid Mech. 39, 117–141.Google Scholar
Ueda, H. & Hinze, J. O. 1975 Fine-structure turbulence in the wall region of a turbulent boundary layer J. Fluid Mech. 67, 125–143.Google Scholar
Ueda, H. & Mizushina, T. 1977 Turbulence structure in the inner part of the wall region in a fully developed turbulent tube flow. In Proc. 5th Biennial Symp. on Turbulence, Missouri-Rolla, Paper V.4.
Yih, C. S. 1963 Stability of liquid flow down an inclined plane Phys. Fluids 6, 321–334.Google Scholar