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http://dx.doi.org/10.3795/KSME-B.2015.39.4.335

Stokes Flow Through a Microchannel with Projections of Constant Spacing  

Son, JeongSu (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.39, no.4, 2015 , pp. 335-341 More about this Journal
Abstract
In this study, we analyzed a two-dimensional Stokes flow through a microchannel containing projections with constant spacing attached to each wall. The projections on the top and bottom walls were semi-circular in shape, with in-phase locations. By considering the periodicity and symmetry of the flow, the eigenfunction expansion and least squared error method were applied to determine the stream function and pressure distribution. For some typical radius and spacing values, the streamline patterns and pressure distributions in the flow field are shown, and the shear stress distributions on the boundary walls are plotted. In addition, the average pressure gradients in the microchannel are also calculated and shown with the radius and spacing of the projections. In particular, the results for the case of extremely small gaps between the projections on the top and bottom walls are in good agreement with the lubrication results.
Keywords
Incompressible Flow; Microchannel; Periodic Flow; Projection; Stokes Flow; Two-Dimensional Flow;
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Times Cited By KSCI : 1  (Citation Analysis)
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