Fully-Developed Laminar Flow in Sinusoidal Grooves

[+] Author and Article Information
Scott K. Thomas, Richard C. Lykins

Department of Mechanical and Materials Engineering, Wright State University, Dayton, OH 45435-0001

Kirk L. Yerkes

Air Force Research Laboratory (PRPG), Wright-Patterson AFB, OH 45433-7251

J. Fluids Eng 123(3), 656-661 (Apr 16, 2001) (6 pages) doi:10.1115/1.1385832 History: Received June 09, 2000; Revised April 16, 2001
Copyright © 2001 by ASME
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Grooves chemically etched in glass (courtesy of D. Liepmann, University of California at Berkeley)
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Flow of liquid in a sinusoidal groove: (a) definition of geometric parameters; (b) dimensionless solution domain
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Dimensionless velocity fields for laminar flow in a sinusoidal groove (β=0.5,wl*/2=0.25,ϕ=25°): (a) τlv*=2.0 (cocurrent flow); (b) τlv*=0.0; (c) τlv*=−0.1 (countercurrent flow)
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Variation of the flow variables with shear stress at the liquid-vapor interface for various values of meniscus contact angle (β=0.5,wl*/2=0.25,P*=1.15245): (a) mean velocity; (b) volumetric flow rate; (c) Poiseuille number
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Variation of the flow variables with groove fill ratio for various values of groove aspect ratio (τlv*=0.0,ϕ=0°): (a) mean velocity; (b) volumetric flow rate; (c) Poiseuille number
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Semi-analytical solution for v̄*: (a) definition of parameters; (b) force balance on the liquid in a sinusoidal groove
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Comparison of the semi-analytical solution with numerical data (β=0.5,wl*/2=0.25): (a) countercurrent vapor shear stress required for v*=0; (b) normalized mean velocity versus normalized shear stress at the liquid-vapor interface



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