NDLI: Transition of Scaling for Pinch-Off of an Axisymmetric Liquid Ligament in Another Immiscible Liquid

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Homma, Shunji Koga, Jiro
Copyright Year	2007
Abstract	Scaling for pinch-off of an axisymmetric liquid ligament in another immiscible liquid is studied computationally for intermediate Reynolds number, where both inertial and viscous forces are dominant. Interface motion near pinch-off is traced by a front tracking/finite difference method with higher resolution. When the ligament breaks up, a thin thread forms between a bulb of the tip and the rest of the ligament. Computational results show that the minimum radius of the thread decreases with time and the exponent of time shifts from 2/3 to 1. This shift corresponds to the transition from potential flow scaling law to the scaling law for viscous thread in another viscous fluid. The rate of the thinning down of the thread is in good agreement with the one obtained from experiments for very small Reynolds number range, where viscous force is dominant. Since the length scale becomes very small close to the pinch-off, the viscous effect overcomes the inertial effect and the scaling alters from the potential flow scaling law to the viscous scaling law.
Sponsorship	Fluids Engineering Division
Starting Page	273
Ending Page	278
Page Count	6
File Format	PDF
ISBN	0791842894
DOI	10.1115/FEDSM2007-37471
e-ISBN	0791838056
Volume Number	Volume 2: Fora, Parts A and B
Conference Proceedings	ASME/JSME 2007 5th Joint Fluids Engineering Conference
Language	English
Publisher Date	2007-07-30
Publisher Place	San Diego, California, USA
Access Restriction	Subscribed
Subject Keyword	Fluids Reynolds number Scaling laws (mathematical physics) Pinch effect Resolution (optics) Flow (dynamics) Thread Finite difference methods
Content Type	Text
Resource Type	Article

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