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|Title: ||Anomalous phenomena and intermittency in the dynamics of multiple particles in a funnel|
|Other Titles: ||Duo li zi zai lou dou zhong de fan chang xian xiang|
|Authors: ||Guo, Wenxuan ( 郭文軒)|
|Department: ||Department of Mathematics|
|Degree: ||Master of Philosophy|
|Issue Date: ||2010|
|Publisher: ||City University of Hong Kong|
|Subjects: ||Particles -- Mathematical models.|
Granular materials -- Mathematical models.
|Notes: ||CityU Call Number: TA418.78 .G86 2010|
iv, 36 leaves : ill. 30 cm.
Thesis (M.Phil.)--City University of Hong Kong, 2010.
Includes bibliographical references (leaves -36)
|Abstract: ||In this thesis, we investigate a granular system of multiple inelastic, frictionless, spherical
particles falling under gravity through a symmetric two-dimensional funnel with
different particle injection frequencies.
Intuitively, one might expect that the average durations which particles spend in
the funnel would increase monotonically as the particle injection frequency increases,
since, due to inter-particle collisions, the more particles in the funnel, the more likely
the particles would slow down and consequently more difficult to pass through the
funnel. However we show surprisingly that the duration is not a monotonic function of
the injection frequency. We provide an explanation for the seemingly counterintuitive
phenomena. We further conduct detailed studies on how the coefficient of restitution
and dynamics of inter-particle collisions affect the duration.
We also identify the phenomena of intermittency in the system with steep walls.
Namely, the behaviors of the system keep altering between two completely different
states at certain range of injection frequency. In one state, the particles have very few
inter-particle collisions, short durations and simple trajectories; in the other, they have
considerably more inter-particle collisions, much longer durations and more complicated
trajectories. We provide an explanation for these phenomena, and develop a
method of classifying these two states.|
|Online Catalog Link: ||http://lib.cityu.edu.hk/record=b4086781|
|Appears in Collections:||MA - Master of Philosophy |
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