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|Title: ||Dynamics of driven particle systems with drag|
|Other Titles: ||Wai li qu dong xia li zi xi tong de dong tai yan jiu|
|Authors: ||Li, Yun (李雲)|
|Department: ||Department of Mathematics|
|Degree: ||Master of Philosophy|
|Issue Date: ||2008|
|Publisher: ||City University of Hong Kong|
|Subjects: ||Transport theory -- Mathematical models.|
Particles (Nuclear physics) -- Mathematical models.
|Notes: ||CityU Call Number: QC793.3.T7 L53 2008|
iv, 56 leaves : ill. 30 cm.
Thesis (M.Phil.)--City University of Hong Kong, 2008.
Includes bibliographical references (leaves -56)
|Abstract: ||We consider the motion of a large number of particles that experience a linear drag
force from the interstitial fluid excited by a vibrating boundary. The dissipation in
such systems arises from two main sources: inelasticity in particle collisions and the
effects of interstitial fluid on the particles. In many applications, order of magnitude
estimates suggest that the dissipation due to interstitial fluid effects may greatly exceed
that due to inelasticity and one may be led to neglect inelastic effects.
We show that if the vibration speed of the boundary is below a critical value then
one may safely neglect inelastic effects. However, if the vibration speed of the boundary
exceeds the critical value then the kinetic energy of the particles grows without
bound if inelastic effects are neglected. One is therefore forced to include inelastic effects
for vibration speeds above the critical value even if order of magnitude estimates
suggest they are negligible.|
|Online Catalog Link: ||http://lib.cityu.edu.hk/record=b2340771|
|Appears in Collections:||MA - Master of Philosophy |
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