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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/24902

Coarsening of solid-liquid mixtures in a random acceleration field

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The effects of flow induced by a random acceleration field (g-jitter) are considered in two related situations that are of interest for microgravity fluid experiments: the random motion of isolated buoyant particles, and diffusion driven coarsening of a solid-liquid mixture. We start by analyzing in detail actual accelerometer data gathered during a recent microgravity mission, and obtain the values of the parameters defining a previously introduced stochastic model of this acceleration field. The diffusive motion of a single solid particle suspended in an incompressible fluid that is subjected to such random accelerations is considered, and mean squared velocities and effective diffusion coefficients are explicitly given. We next study the flow induced by an ensemble of such particles, and show the existence of a hydrodynamically induced attraction between pairs of particles at distances large compared with their radii, and repulsion at short distances. Finally, a mean field analysis is used to estimate the effect of g-jitter on diffusion controlled coarsening of a solid-liquid mixture. Corrections to classical coarsening rates due to the induced fluid motion are calculated, and estimates are given for coarsening of Sn-rich particles in a Sn-Pb eutectic fluid, an experiment to be conducted in microgravity in the near future.

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THOMSON, J. Ross, et al. Coarsening of solid-liquid mixtures in a random acceleration field. Physics of Fluids. 1997. Vol. 9, num. 1336-1343. ISSN 0021-8979. [consulted: 9 of August of 2026]. Available at: https://hdl.handle.net/2445/24902

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