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http://dx.doi.org/10.3795/KSME-B.2011.35.6.609

Study of Stokes Flow Past a Vertical Plate in a Two-Dimensional Channel  

Yoon, Seok-Hyun (Dept. of Mechanical Engineering, Chonnam Nat'l Univ.)
Jeong, Jae-Tack (Dept. of Mechanical Engineering, Chonnam Nat'l Univ.)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.35, no.6, 2011 , pp. 609-615 More about this Journal
Abstract
A two-dimensional Stokes flow past a vertical plate in a channel is analyzed. The vertical plate is located at the center of the channel, and plane Poiseuille flow exists far upstream and downstream of the vertical plate. The Stokes approximation is used, and the flow is investigated analytically using the method of eigenfunction expansion and the point collocation method. From the analysis, the stream function and pressure distribution are obtained, and the pressure and shear stress distributions on the plate and channel wall are calculated. The additional pressure drop induced by the vertical plate and the force exerted on it are calculated as functions of the length of the vertical plate. For a typical length of the vertical plate, the streamline pattern and pressure distribution are shown. In addition, numerical analysis of laminar flow with a small Reynolds number is carried out to analyze the effect of a small Reynolds number on the flow pattern.
Keywords
Two Dimensional Channel Flow; Stokes Flow; Plane Poiseuille Flow; Pressure Drop; Eigenfunction Expansion;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By SCOPUS : 0
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