Nonlinear Taylor Instability in a Cylindrical Vessel

[+] Author and Article Information
I. Chang-Mateu, S. G. Bankoff

Chemical Engineering Department, Northwestern University, Evanston, Ill. 60201

J. Fluids Eng 106(4), 380-384 (Dec 01, 1984) (5 pages) doi:10.1115/1.3243134 History: Received April 07, 1983; Online October 26, 2009


A new class of Taylor-unstable waves, consisting of ring waves appearing at the interface of two fluids of differing densities within a around pipe when the interface is accelerated in the direction of the denser fluid, is considered. The analysis employs a generalized coordinate method introduced by Dienes [16]. The characteristic “bubble-spike” configuration is obtained, although the singularity corresponding to infinite spike tip velocity occurs at a later time than for the one-dimensional plane wave. In addition, it has been shown previously [19] that condensation of vapor at the interface produces negligible correction to the growth rate.

Copyright © 1984 by ASME
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