NDLI: Extensional flow at low Reynolds number with surface tension

Content Provider	Springer Nature Link
Author	Stokes, Y. M. Bradshaw Hajek, B. H. Tuck, E. O.
Copyright Year	2010
Abstract	The extensional flow and break-up of fluids has long interested many authors. A slender viscous fluid drop falling under gravity from beneath a horizontal surface is examined. After reviewing previous work which has neglected surface tension, a one-dimensional model which describes the evolution of such a drop, beginning with a prescribed initial drop shape and including the effects of gravity and surface tension, is investigated. Inertial effects are ignored due to the high viscosity of the fluid. Particular attention is paid to the boundary condition near the bottom of the drop where the one-dimensional approximation is no longer valid. The evolving shape of the drop is calculated up to a crisis time at which the cross-sectional area at some location goes to zero. Results are compared with those obtained when surface tension is neglected. Near to the crisis time, as the Reynolds number increases and inertia becomes non-negligible, the model assumptions are invalid so that the model does not describe actual pinch-off of a fluid drop.
Starting Page	321
Ending Page	331
Page Count	11
File Format	PDF
ISSN	00220833
Journal	Journal of Engineering Mathematics
Volume Number	70
Issue Number	1-3
e-ISSN	15732703
Language	English
Publisher	Springer Netherlands
Publisher Date	2010-12-08
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Drops Free surface Slender fluid thread Viscous flow Analysis Applications of Mathematics Mechanics Numeric Computing Mathematical Modeling and Industrial Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics Engineering

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