Rayleigh-Plateau instability of an elasto-viscoplastic filament
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913175378591744 |
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| author | Shemilt, James D. Balmforth, Neil J. |
| author_facet | Shemilt, James D. Balmforth, Neil J. |
| contents | A slender-thread model is used to explore the Rayleigh-Plateau instability of a filament of elasto-viscoplastic fluid. Without elasticity, a finite yield stress suppresses any linear instability for a filament of constant radius. Including sub-yield elastic deformation permits an elastic Rayleigh-Plateau instability above a critical Deborah number. If stresses over the thinner sections of the thread breach the yield threshold, viscoplastic deformations then drive the filament towards pinch-off. The thread consequently evolves to a beads-on-a-string structure. The elasto-plastic anatomy of the beads is explored and categorized. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21059 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rayleigh-Plateau instability of an elasto-viscoplastic filament Shemilt, James D. Balmforth, Neil J. Fluid Dynamics A slender-thread model is used to explore the Rayleigh-Plateau instability of a filament of elasto-viscoplastic fluid. Without elasticity, a finite yield stress suppresses any linear instability for a filament of constant radius. Including sub-yield elastic deformation permits an elastic Rayleigh-Plateau instability above a critical Deborah number. If stresses over the thinner sections of the thread breach the yield threshold, viscoplastic deformations then drive the filament towards pinch-off. The thread consequently evolves to a beads-on-a-string structure. The elasto-plastic anatomy of the beads is explored and categorized. |
| title | Rayleigh-Plateau instability of an elasto-viscoplastic filament |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2512.21059 |