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https://hdl.handle.net/2440/505
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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 |
Publisher: | KLUWER ACADEMIC PUBL |
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 |
Published version: | http://dx.doi.org/10.1023/a:1004200926153 |
Appears in Collections: | Applied Mathematics publications Aurora harvest 6 |
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