Transient Stokes Flow in a Wedge

[+] Author and Article Information
Bohou Xu, E. B. Hansen

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

J. Appl. Mech 54(1), 203-208 (Mar 01, 1987) (6 pages) doi:10.1115/1.3172959 History: Received July 08, 1985; Revised April 11, 1986; Online July 21, 2009


The transient flow in the sector region bounded by two intersecting planes and a circular cylinder is determined in the Stokes approximation. The plane boundaries are assumed to be at rest while the cylinder is rotating with a constant velocity starting at t = 0. The problem is solved by means of three different methods, a finite element, a finite difference, and a boundary element method. The corresponding problem in which the constant velocity boundary condition on the cylinder is replaced by a condition of constant stress is also solved by means of the finite element method.

Copyright © 1987 by ASME
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