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Updated: Nov 6, 2025

Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Elastic Rayleigh-Plateau instability: dynamical selection of nonlinear states
Anupam Pandey1, Minkush Kansal, Miguel A Herrada
1Physics of Fluids Group, Faculty of Science and Technology, University of Twente, P.O. Box 217, 7500AE Enschede, The Netherlands.
Elastic hydrogel threads exhibit surface instability, forming distinct patterns like beads-on-a-string due to competing forces. Softer materials show pattern coexistence, with dynamics selecting the final morphology.
Area of Science:
- Soft Matter Physics
- Materials Science
- Fluid Dynamics
Background:
- Elastic hydrogels can exhibit surface instabilities, analogous to liquid jet instabilities.
- The interplay of capillary forces and large elastic deformations governs the final morphology of these threads.
Purpose of the Study:
- To map the phase space of possible morphologies for an elastic cylinder under capillary forces.
- To investigate the coexistence of different configurations in softer elastic cylinders.
- To understand the dynamic selection of patterns and their characteristic wavelengths.
Main Methods:
- Slender analysis of elastic cylinder instability.
- Fully three-dimensional numerical simulations.
- Computation of dispersion relations to determine characteristic wavelengths.
Main Results:
- A phase map of morphologies for neo-Hookean cylinders under capillary forces was generated.
- Coexistence of "cylinders-on-a-string" and "beads-on-a-string" morphologies was observed for softer cylinders.
- Dynamical evolution was shown to select the final pattern, with characteristic wavelengths identified.
Conclusions:
- The study provides a comprehensive understanding of pattern formation in elastic hydrogel threads.
- Results are consistent across theoretical analysis, numerical simulations, and experimental observations.
- This work contributes to the field of soft matter physics and material design.
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