On the Critical Conditions of Granular Oscillation
Date Issued
2008
Date
2008
Author(s)
Li, Chia-Chieh
Abstract
Recently, the spectacular phenomenon of granular oscillation had been found in a vibrated binary granular mixture in a compartmentalized container. It was first observed by R. Lambiotte et al. in 2005 through MD simulation, and named the phenomenon the “granular clock.” Viridi et al. successfully provided the experimental evidence of the existence of granular oscillation. In 2008, Hou et al. interpreted the granular oscillation as the oscillation in the coexisting granular temperatures of large and small spheres. In this thesis, experimental results are brought to explain the mechanisms that drive the granular oscillation. Besides, the derivation of flux model of van der Meer et al. is also carried with detail in the thesis. Moreover, the flux function is modified to be able to present the coexistence of two different granular temperatures in a system. The first part of the experiment is the depth discussion. From the observation of this experiment, a physical model named “expeller-trapper” is delivered to explain the mechanism of granular oscillation and the associated experiments. The second part of the experiment reveals the measurement of the granular temperatures of two different species of particles under granular oscillation to support the physical model we introduced in this thesis. The third part of the experiment is the indirect measurement of the characteristic granular temperature under mono-disperse clustering. PTV method is also used to measure the actual clustering temperature of the grains, and then the comparisons between these two approaches are made to present in the thesis. The final part of the experiment is to present the experimental observation of the tri-disperse granular oscillation, which contributes to the conjecture of mass-driven oscillation left for the future work.
Subjects
granular clock
granular follower
granular temperature
granular material
Brazil nut effect
reverse Brazil nut effect
flux model
PTV
statistical mechanics
Type
thesis
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