Transport-limited aggregation and dense granular flow
Name
61207930-MIT.pdf
Description
Full printable version
Size
12.32 MB
Format
Adobe PDF
Checksum (MD5)
7a5ccdfc0c49094079d224a4115b9b12
Author(s)
Choi, Jaehyuk
Advisor(s)
Martin Z. Bazant.
Date Issued
2005
Publisher
Massachusetts Institute of Technology
Abstract
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.
Description
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).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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