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TECHNICAL PAPERS

Inception of Turbulence in the Stokes Boundary Layer Over a Transpiring Wall

[+] Author and Article Information
Joseph Majdalani

Department of Mechanical and Industrial Engineering, Marquette University, Milwaukee, WI 53233

James Barron

Lockwood, Andrews & Newnam, Inc., Dallas, TX 75219

William K. Van Moorhem

Department of Mechanical Engineering, University of Utah, Salt Lake City, UT 84112

J. Fluids Eng 124(3), 678-684 (Aug 19, 2002) (7 pages) doi:10.1115/1.1490375 History: Received February 01, 2001; Revised February 21, 2002; Online August 19, 2002
Copyright © 2002 by ASME
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References

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Figures

Grahic Jump Location
Experimental apparatus. The inset shows a section view of the principal test chamber.
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Flow measurement chamber
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Power Spectral Density (PSD) of pressure data using (a) Scotch-yoke and (b) slider-crank mechanisms. By comparison, the Scotch yoke provides a purer signal containing less harmonics and noise interference.
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Standard deviation σ versus acoustic Reynolds number ReA for experimental data (□) acquired over (a) hard walls, and (b) transpiring walls. Assuming a logarithmic power law (σ∼ReAb), linear least-squares indicate the presence of two regions. The first is characterized by b≅2.2 and is predominantly laminar (–). In the second region, b drops to approximately 1.1, ushering a turbulent flow behavior ([[dashed_line]]).
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Using nontranspiring walls, velocity (–) and standard deviations ([[dashed_line]]) are shown for ReA=95 and 130. The two cases correspond to (a) laminar, and (b) distorted laminar flow regimes.
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Using transpiring walls, velocity (–) and standard deviations ([[dashed_line]]) are shown for ReA=105, 145, 675 and 2200. The four cases correspond to (a) laminar, (b) distorted laminar, (c) weakly turbulent, and (d) conditionally turbulent regimes.
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Flow visualization of the oscillatory Stokes layer over a transpiring surface. The close-ups illustrate the detailed structure of the fog layer in (a) laminar, (b) distorted laminar, and (c) weakly turbulent flow regimes.
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Flow visualization of the four distinct phases preceding turbulence. Patterns indicate (a) laminar, (b) distorted laminar, (c) weakly turbulent, and (d) conditionally turbulent flow regimes.

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