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Please use this identifier to cite or link to this item: http://hdl.handle.net/2031/5529

Title: Dynamics of driven particle systems with drag
Other Titles: Wai li qu dong xia li zi xi tong de dong tai yan jiu
外力驅動下粒子系統的動態研究
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 [54]-56)
Type: thesis
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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