This paper investigates the self-similarity properties in the far downstream of high Reynolds number turbulent wake flows. The growth rate of the wake layer width, ; the decaying rate of the maximum velocity defect, ; and the scaling for the maximum mean transverse (across the stream) velocity, Vmax, are derived directly from the self-similarity of the continuity equation and the mean momentum equation. The analytical predictions are validated with the experimental data. Using an approximation function for the mean axial flow, the self-similarity analysis yields approximate solutions for the mean transverse velocity, V, and the Reynolds shear stress, . Close relations among the shapes of U, V, and T are revealed.
Self-Similarity Analysis of Turbulent Wake Flows
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received April 8, 2016; final manuscript received December 1, 2016; published online March 16, 2017. Assoc. Editor: Oleg Schilling.
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Wei, T. (March 16, 2017). "Self-Similarity Analysis of Turbulent Wake Flows." ASME. J. Fluids Eng. May 2017; 139(5): 051203. https://doi.org/10.1115/1.4035633
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