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Growth pattern formation in Bénard flows

Guillermo Marshall and Eduardo Arguijo

Physica A: Statistical Mechanics and its Applications, 1992, vol. 185, issue 1, 146-150

Abstract: The effects of Bénard flows on diffusion-limited aggregation (DLA) is investigated by a growth pattern formation (GPF) computational model. The GPF introduced consists of a DLA process driven by a thermal convection field in a plane viscous incompresible flow. The flow regime is governed by the Grashoff, Prandtl and Schmidt dimensionless parameters. Moving from low to high Grashoff numbers, the particle motions obtained change from primarily stochastic Brownian trajectories, with Hausdorff dimension 2.0, to mainly deterministic curvilinear trajectories, with Hausdorff dimension 1.0. Correspondingly, the resulting clusters change their Hausdorff dimension from the DLA fractal to 1.0.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:185:y:1992:i:1:p:146-150

DOI: 10.1016/0378-4371(92)90448-Y

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