2026-09-19T11:15:54Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/303552022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Martin Z. Bazant.
Choi, Jaehyuk
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2006-03-21T21:07:52Z
2006-03-21T21:07:52Z
2005
2005
http://hdl.handle.net/1721.1/30355
61207930
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005.
This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Includes bibliographical references (p. 141-153).
In this thesis, transport of interacting particles is studied in two different physical systems. In the first part, a model for interfacial growth driven by general transport processes is proposed to generalize Laplacian growth such as diffusion-limited aggregation (DLA) and viscous fingering. The fractal properties, crossover in morphology, and relation between continuous and stochastic growth are studied in the context of a representative case, advection-diffusion-limited aggregation (ADLA). The model is extended on curved surfaces and the effect of curvature is also discussed. In the second part, dense granular flow inside silos and hoppers is investigated using high-speed imaging and the results are compared to existing theories. While mean velocity fields are in qualitative agreement, the diffusion and mixing of particles are contradictory to the microscopic assumptions. A new model for dense granular flow is suggested to resolve the inconsistency.
by Jaehyuk Choi.
Ph.D.
153 p.
10700211 bytes
12921453 bytes
application/pdf
application/pdf
eng
Massachusetts Institute of Technology
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Transport-limited aggregation and dense granular flow
Thesis
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