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Diffusion and decay of turbulent elliptic wakes

Date

1965-08

Authors

Kuo, Yung-Huang, author
Baldwin, Lionel V., author
Fluid Dynamics and Diffusion Laboratory, College of Engineering, Colorado State University, publisher

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Journal ISSN

Volume Title

Abstract

Three-dimensional, turbulent wakes having elliptical cross-sections were studied both experimentally and analytically for a constant-fluid-property, zero-pressure-gradient flow. An analytical solution for wake diffusion and decay was obtained from a linearized momentum equation by assuming a constant eddy viscosity in the transverse plane but variable along the wake centerline. The experimental data confirmed the prediction that elliptical wakes approach a axisymmetry far downstream. Data were obtained in wakes of 1 inch and 3 inch diameter disks having eccentricities of 1.0, 0.6 and 0.2 over a mean Reynolds number range from 2.4 x 10^4 to 7.1 x 10^4 Mean velocity and turbulent intensity data were gathered between 8 and 266 diameters downstream of the disks. Several arbitrary constants of the analysis were determined so that engineering estimates can be made from the analytical results. Unlike axisymmetric and two-dimensional geometries, elliptic wakes offer an opportunity to test eddy viscosity assumptions in one plane without adjustable factors, and this was done. However, the mean velocity profiles deviated from the predicted Gaussian shape even though approximate similarity was attained far downstream.

Description

CER65YHK-LVB42.
CEP66-67LVB-YHK68.
August 1965.
Includes bibliographical references (page 13).
Research Sponsored by the Bureau of Ships Fundamental Hydromechanics Research Program. Administered by the NONR 1610(08).

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Subject

Turbulence
Wakes (Aerodynamics)
Diffusion

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