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Type: Journal article
Title: Slow Slumping of a Very Viscous Liquid Bridge
Author: Tuck, E.
Stokes, Y.
Schwartz, L.
Citation: Journal of Engineering Mathematics, 1997; 32(1):27-40
Issue Date: 1997
ISSN: 0022-0833
Abstract: A layer of very viscous liquid (e.g. tar, molten glass) spans a chasm between two vertical walls. The slow fall or slump of this initially-rectangular liquid bridge is analysed. A semi-analytical solution is obtained for the initial motion, for arbitrary thickness/width ratios. The formal limits of large and small thickness/width ratios are also investigated. For example, the centre section of a thin bridge of liquid of density ρ and viscosity μ, with width 2w and thickness 2h ≪ 2w falls under gravity g at an initial velocity ρgw4/(32μh2). A finite element technique is then employed to determine the slumping motion at later times, confirming in passing the semi-analytical prediction of the initial slumping velocity.
DOI: 10.1023/A:1004200926153
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Appears in Collections:Applied Mathematics publications
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