Pinch-off of rods by bulk diffusion

Publication: Research - peer-reviewJournal article – Annual report year: 2011

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The morphology of a rod embedded in a matrix undergoing pinching by interfacial-energy-driven bulk diffusion is determined near the point of pinching. We find a self-similar solution that gives a unique temporal power law and interfacial shape prior to pinching and self-similar solutions after pinching. The theory is compared to experiments that employ in situ four-dimensional X-ray tomographic microscopy for rods of liquid or solid pinching by solute diffusion in the high-diffusivity liquid phase. The excellent agreement between experiment and theory confirms that the interfacial morphology near the singularity is universal both before and after pinching; the shape holds regardless of the material system and initial condition. This also implies that the predictions of the time-dependence of the process can be used to determine the time to pinching for a wide variety of physical systems, and thus provide estimates of the time required for capillarity-driven break-up of microstructures from the detachment of secondary dendrite arms to polymer blends.
Original languageEnglish
JournalActa Materialia
Publication date2011
Volume59
Journal number12
Pages4922-4932
ISSN1359-6454
DOIs
StatePublished
CitationsWeb of Science® Times Cited: 4

Keywords

  • Materials characterisation and modelling
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