Aagesen, L K; Johnson, A E; Fife, J L; Voorhees, P W; Miksis, M J; Poulsen, S O; Lauridsen, E M; Marone, F; Stampanoni, M (2011). Pinch-off of rods by bulk diffusion. Acta Materialia, 59(12):4922-4932.
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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.
|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||04 Faculty of Medicine > Institute of Biomedical Engineering|
|Dewey Decimal Classification:||170 Ethics
610 Medicine & health
|Deposited On:||28 Feb 2012 12:52|
|Last Modified:||27 Nov 2013 21:43|
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