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Coiling Instability in Liquid and Solid Ropes

Abstract : In this thesis, we present an experimental investigation of the coiling instability in a
liquid or a solid ”rope” on a solid surface and then try to compare the results with a numerical
model. We explain different regimes of coiling for a liquid rope (viscous, gravitational
and inertial) and present the experimental measurements of frequency vs. height in each
regime. We investigate the transition from gravitational to inertial coiling, in this regime
the frequency is multivalued and can jump between two frequencies during the time. We
show that between any step in frequency vs. height curve we have unstable part. We report
that in a relatively small region in gravitational coiling regimes the buckling coil will trap
air bubbles in a very regular way, that form spiral patterns. We also present a very simple
model that explains how these patterns are formed. We present an experimental study of
the coiling of both ropes and spaghetti falling onto a solid surface. We show that three
different regimes of coiling are possible. We in addition provide a theoretical and numerical
framework to understand and quantify the behavior of the ropes in the different regimes,
the numerical predications are in excellent agreement with the experiments.
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Contributor : Mehdi Habibi <>
Submitted on : Thursday, June 21, 2007 - 4:15:10 PM
Last modification on : Thursday, December 10, 2020 - 12:38:43 PM
Long-term archiving on: : Thursday, April 8, 2010 - 9:02:50 PM


  • HAL Id : tel-00156591, version 1


Mehdi Habibi. Coiling Instability in Liquid and Solid Ropes. Fluid Dynamics [physics.flu-dyn]. Université Pierre et Marie Curie - Paris VI, 2007. English. ⟨tel-00156591⟩



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