טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
M.Sc Thesis
M.Sc StudentSchwartz Eyal
SubjectOscillations in Banding of Suspended Particles in a Rotating
Horizontal Tube
DepartmentDepartment of Physics
Supervisor Professor Emeritus Stephen Lipson
Full Thesis textFull thesis text - English Version


Abstract

Oscillations form one of the fundamental dynamical motions in many of the physical phenomena in science. From the simple pendulum to the most complex quantum systems, oscillatory motion provides the building block for understanding the dynamics of many physical systems. In this work, we attempt to solve the problem of oscillations between two allowed states, of the segregation into axial bands of suspended particles in a rotating horizontal tube, filled with an almost inviscid fluid. Previous work has shown that inertial modes in the fluid are continuously excited by the particles. We derived a mean field model ascribing the fluid-particle and particle-particle interactions as the source of the phenomena in order to provide a deeper insight into the different states and evolution of the system. The various regimes for which different behaviors of the particles exhibit were predicted by the model and further theoretical results led to the prediction of the dependence of the oscillations time period on the particles density and the fluid angular rotation frequency, which was confirmed experimentally.

Furthermore, a computer code for tracking the trajectories of particles in the rotating tube was developed in order to obtain new insights into the dynamics through possible automated reverse engineering, or model construction, of the system dynamics from experimental data.