Iterated Stretching, Extensional Rheology and Formation of Beads-on-a-String Structures in Polymer Solutions
Accepted for publication in JNNFM, December 2005.
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Language: | en_US |
| Published: |
2006
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/1721.1/31210 |
| _version_ | 1811068352255229952 |
|---|---|
| author | Oliveira, Monica S. N. Yeh, Roger McKinley, Gareth H. |
| author_facet | Oliveira, Monica S. N. Yeh, Roger McKinley, Gareth H. |
| author_sort | Oliveira, Monica S. N. |
| collection | MIT |
| description | Accepted for publication in JNNFM, December 2005. |
| first_indexed | 2024-09-23T07:54:44Z |
| format | Preprint |
| id | mit-1721.1/31210 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T07:54:44Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | mit-1721.1/312102019-04-09T15:27:34Z Iterated Stretching, Extensional Rheology and Formation of Beads-on-a-String Structures in Polymer Solutions Oliveira, Monica S. N. Yeh, Roger McKinley, Gareth H. extensional rheology beads on a string self-similarity iterative process Accepted for publication in JNNFM, December 2005. The transient extensional rheology and the dynamics of elastocapillary thinning in aqueous solutions of polyethylene oxide (PEO) are studied with high-speed digital video microscopy. At long times, the evolution of the thread radius deviates from self-similar exponential decay and competition between elastic, capillary and inertial forces leads to the formation of a periodic array of beads connected by axially-uniform ligaments. This configuration is unstable and successive instabilities propagate from the necks connecting the beads and ligaments. This iterated process results in multiple generations of beads developing along the string in general agreement with predictions of Chang et al. [Phys Fluids, 11, 1717 (1999)] although the experiments yield a different recursion relation between the successive generations of beads. At long times, finite extensibility truncates the iterated instability, and slow axial translation of the bead arrays along the interconnecting threads leads to progressive coalescence before the ultimate rupture of the fluid column. Despite these dynamical complexities it is still possible to measure the steady growth in the transient extensional viscosity by monitoring the slow capillarydriven thinning in the cylindrical ligaments between beads. NASA and the Portuguese Science Foundation 2006-02-14T16:48:17Z 2006-02-14T16:48:17Z 2005-12-01T16:48:17Z Preprint http://hdl.handle.net/1721.1/31210 en_US 05-P-12 4546438 bytes application/pdf application/pdf |
| spellingShingle | extensional rheology beads on a string self-similarity iterative process Oliveira, Monica S. N. Yeh, Roger McKinley, Gareth H. Iterated Stretching, Extensional Rheology and Formation of Beads-on-a-String Structures in Polymer Solutions |
| title | Iterated Stretching, Extensional Rheology and Formation of Beads-on-a-String Structures in Polymer Solutions |
| title_full | Iterated Stretching, Extensional Rheology and Formation of Beads-on-a-String Structures in Polymer Solutions |
| title_fullStr | Iterated Stretching, Extensional Rheology and Formation of Beads-on-a-String Structures in Polymer Solutions |
| title_full_unstemmed | Iterated Stretching, Extensional Rheology and Formation of Beads-on-a-String Structures in Polymer Solutions |
| title_short | Iterated Stretching, Extensional Rheology and Formation of Beads-on-a-String Structures in Polymer Solutions |
| title_sort | iterated stretching extensional rheology and formation of beads on a string structures in polymer solutions |
| topic | extensional rheology beads on a string self-similarity iterative process |
| url | http://hdl.handle.net/1721.1/31210 |
| work_keys_str_mv | AT oliveiramonicasn iteratedstretchingextensionalrheologyandformationofbeadsonastringstructuresinpolymersolutions AT yehroger iteratedstretchingextensionalrheologyandformationofbeadsonastringstructuresinpolymersolutions AT mckinleygarethh iteratedstretchingextensionalrheologyandformationofbeadsonastringstructuresinpolymersolutions |