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Related Experiment Video

Updated: Jun 26, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Dynamics of liquid rope coiling.

Mehdi Habibi¹, Maniya Maleki, Ramin Golestanian

¹Institute for Advanced Studies in Basic Sciences, Zanjan 45195-1159, Iran.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|February 7, 2007

Summary

This summary is machine-generated.

Investigating liquid rope coiling on surfaces, this study reveals time-dependent inertio-gravitational coiling with distinct frequency states. It details coil and rope radii, and secondary buckling behavior, offering new insights into fluid dynamics.

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Area of Science:

Fluid dynamics
Nonlinear dynamics
Surface phenomena

Background:

The coiling of a falling liquid thread, or "rope," onto a surface is a complex phenomenon with implications in various scientific and industrial applications.
Previous research has primarily focused on steady-state coiling, leaving aspects like time dependence and secondary instabilities underexplored.

Purpose of the Study:

To experimentally and numerically investigate the time dependence of inertio-gravitational coiling of a liquid rope.
To systematically analyze the dependence of coil and rope radii on experimental parameters.
To study the secondary buckling of the columnar structure formed during high-frequency coiling.

Main Methods:

Combined experimental and numerical investigation.
Laboratory measurements of coil and rope radii.
Slender-rope numerical modeling.
Dimensional analysis for secondary buckling.

Main Results:

Observed four distinct branches of inertio-gravitational coiling states in frequency-fall height space.
Characterized transitions between states, noting their aperiodic nature and occasional "figure of eight" intermediate state.
Demonstrated good agreement between experimental measurements and numerical model predictions for radii.
Revealed systematic variations in critical column height for secondary buckling based on flow rate and surface tension.

Conclusions:

The study provides a comprehensive understanding of the dynamic and geometric aspects of liquid rope coiling.
The findings offer valuable data for refining theoretical models and predicting coiling behavior in diverse conditions.
Identified key parameters influencing secondary buckling, crucial for controlling the final structure of the coiled liquid.