The Stability of a Two-Layer Inviscid Flow Between an Elastic Layer and a Rigid Boundary

[+] Author and Article Information
P. J. Schall, J. P. McHugh

Department of Mechanical Engineering, University of New Hampshire, Durham, NH 03824

J. Appl. Mech 66(1), 197-203 (Mar 01, 1999) (7 pages) doi:10.1115/1.2789146 History: Received July 30, 1997; Revised May 28, 1998; Online October 25, 2007


The linear stability of two-layer flow over an infinite elastic substraw is considered. The problem is motivated by coating flow in a printing press. The flow is assumed to be inviscid and irrotational. Surface tension between the fluid layers is included, but gravity is neglected. The results show two unstable modes: one mode associated with the interface between the elastic layer and the fluid (mode 1), and the other concentrated on the interface between the two fluids (mode 2). The behavior of the unstable modes is examined while varying the elastic parameters, and it is found that mode 1 can be made stable, but mode 2 remains unstable at small wavenumber, similar to the classic Kelvin—Helmholtz mode.

Copyright © 1999 by The American Society of Mechanical Engineers
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