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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Grahic Jump Location
Experimental apparatus. The inset shows a section view of the principal test chamber.
Grahic Jump Location
Flow measurement chamber
Grahic Jump Location
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.
Grahic Jump Location
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]]).
Grahic Jump Location
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.
Grahic Jump Location
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.
Grahic Jump Location
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.
Grahic Jump Location
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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