NDLI: Capillary instability and breakup of a viscous thread

Content Provider	Springer Nature Link
Author	Pozrikidis, C.
Copyright Year	1999
Abstract	Papageorgiou derived a similarity solution that describes the asymptotic behavior of a thinning viscous thread suspended in vacuum, near the critical time and around the location of breakup. The motion is driven by surface tension, and the fluid inertia is neglected throughout the evolution. To assess the physical relevance of the similarity solution, the evolution of an infinite thread immersed in an ambient fluid with arbitrary viscosity, subject to periodic axisymmetrtic perturbations is simulated through solution of the equations of Stokes flow by a boundary integral method. The results show that when the thread is suspended in vacuum, the similarity solution accurately describes the process of thinning over an extended length of the thread between the developing bulges, and captures the late stages of breakup for a broad range of initial conditions. But a small amount of ambient fluid viscosity, as small as 0.05 times the viscosity of the thread fluid, drastically alters the nature of the motion by shifting the location of the breakup points toward the bases of developing bulges, and causing the thread to develop locally asymmetric shapes.
Starting Page	255
Ending Page	275
Page Count	21
File Format	PDF
ISSN	00220833
Journal	Journal of Engineering Mathematics
Volume Number	36
Issue Number	3
e-ISSN	15732703
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	1999-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Numeric Computing Analysis Applications of Mathematics Mathematical Modeling and Industrial Mathematics Mechanics
Content Type	Text
Resource Type	Article
Subject	Mathematics Engineering

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