SLOW SLUMPING OF A VERY VISCOUS-LIQUID BRIDGE

Citation
Eo. Tuck et al., SLOW SLUMPING OF A VERY VISCOUS-LIQUID BRIDGE, Journal of engineering mathematics, 32(1), 1997, pp. 27-40
Citations number
20
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mathematics,Engineering
ISSN journal
00220833
Volume
32
Issue
1
Year of publication
1997
Pages
27 - 40
Database
ISI
SICI code
0022-0833(1997)32:1<27:SSOAVV>2.0.ZU;2-S
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-r ectangular liquid bridge is analysed. A semi-analytical solution is ob tained for the initial motion, for arbitrary thickness/width ratios. T he formal limits of large and small thickness/width ratios are also in vestigated. For example, the centre section of a thin bridge of liquid of density rho and viscosity mu, with width 2w and thickness 2h much less than 2w falls under gravity g at an initial velocity rho gw(4)/(3 2 mu h(2)). A finite element technique is then employed to determine t he slumping motion at later times, confirming in passing the semi-anal ytical prediction of the initial slumping velocity.