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Technical Briefs

Shear Flow Over a Wavy Surface With Partial Slip

[+] Author and Article Information
C. Y. Wang

Department of Mathematics, and Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824cywang@mth.msu.edu

J. Fluids Eng 132(8), 084503 (Aug 18, 2010) (3 pages) doi:10.1115/1.4002197 History: Received December 18, 2009; Revised July 01, 2010; Published August 18, 2010; Online August 18, 2010

A viscous shear flow moves parallel to a wavy plate. Partial slip occurs on the wavy surface. The problem is solved by perturbation about a small amplitude parameter, namely, the amplitude to wavelength ratio. It is found that the interaction of waviness and slip decreases the apparent slip coefficient.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Shear flow over a wavy plate. (a) Flow longitudinally to the corrugations. (b) Flow transverse to the corrugations.

Grahic Jump Location
Figure 2

Decrease of apparent slip due to waviness. (a) Flow longitudinally to the corrugations. Shape factor ϕ in Eq. 19. (b) Flow transverse to the corrugations. Shape factor φ in Eq. 34.

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