Transient Stokes Flow in a Channel Driven by Moving Sleeves

[+] Author and Article Information
P. Carbonaro

University of Catania, 95125 Catania, Italy

Erik B. Hansen

Laboratory of Applied Mathematical Physics, The Technical University of Denmark, DK-2800 Lyngby, Denmark

J. Appl. Mech 57(4), 1061-1065 (Dec 01, 1990) (5 pages) doi:10.1115/1.2897626 History: Accepted October 24, 1988; Received October 24, 1988; Online March 31, 2008


A two-dimensional, nonstationary Stokes flow in an infinite channel with plane, parallel walls is considered. The flow is driven by two sleeves forming parts of the walls and moving with a constant velocity starting at t = 0. The exact Laplace transform of the stream function is determined and an approximate inversion, valid for t small, is performed. The resulting approximate formula for the stream function is used to study numerically the nonstationary flow as it approaches the stationary state in which an infinite system of Moffatt eddies is fully developed. The results are presented as a series of streamline plots.

Copyright © 1990 by The American Society of Mechanical Engineers
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