Research Papers: Fundamental Issues and Canonical Flows

Near Surface Velocity Distributions for Intermittent Separation of Turbulent Boundary Layers

[+] Author and Article Information
V. A. Sandborn

 Colorado State University, Fort Collins, CO 80523

J. Fluids Eng 130(4), 041203 (Apr 09, 2008) (4 pages) doi:10.1115/1.2903818 History: Received February 24, 2005; Revised October 11, 2007; Published April 09, 2008

At the location of intermittent turbulent boundary layer separation a finite positive mean surface shear stress still exists. It is demonstrated that viscous coordinates and a mixing length turbulent model may still be used at the location of intermittent separation. The large scale turbulent mixing in the separation region appears to require the universal mixing constant, K, increases with Reynolds number. Once true zero-mean-surface-shear-stress separation occurs, the mixing length model for the turbulent flow near the surface is no longer valid and a constant eddy viscosity is indicated.

Copyright © 2008 by American Society of Mechanical Engineers
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Figure 1

Velocity distributions upstream and in the separation region. Data of Simpson (4) (uncertainty: U=0.2f∕s, y=0.002in.).

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Figure 2

Comparison of intermittent separation profiles with the predictions of Eq. 3. (a) Data of Simpson (4). (b) Data of Simpson (3) and downstream data of Simpson (4).

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Figure 3

Velocity near the surface at intermittent separation in the duct. (○) Measured; (◻ and ●) bias corrections, Eq. 5. (a) Rθ=1110. (b) Rθ=1880.

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Figure 4

Variation of the non dimensional pressure gradient with Reynolds number

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Figure 5

Zero-mean-surface-shear-stress separation velocity profiles. U∕Ue=1+(1−y∕δ)m[mln(1−y∕δ)−1].




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