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Title:Mixing immiscible fluids: drainage induced cusp formations
Author(s):Chaïeb, Sahraoui; McKinley, Gareth H.
Subject(s):Immiscible Fluids
Cusp Formations
Abstract:When a very viscous fluid is drained out of a container through an axisymmetrically placed circular orifice a dip appears at the free surface. At later times, this dip develops into a cusp. The distance separating the tip of the dip and the bottom surface is measured and a scaling law is derived. We measured also the curvature versus the time and found that the curvature scales such that the viscous stress at the hole is always balanced by the surface tension of the free surface. Also we monitored the position of a passive tracer as a function the time before it reaches the hole and found that the cusped surface affects the flow both at the far field and close to the singularity. Finally, we investigated the encapsulation of a lighter and less viscous liquid when entrapped in the cusp at the final stage of drainage.
Issue Date:2000-05
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 940
Genre:Technical Report
Rights Information:Copyright 2000 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04

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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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