Document Type
Thesis
Date of Award
5-31-1989
Degree Name
Master of Science in Mechanical Engineering - (M.S.)
Department
Mechanical and Industrial Engineering
First Advisor
Anthony D. Rosato
Second Advisor
Rajesh N. Dave
Third Advisor
Bernard Koplik
Abstract
The rate of vibratory size segregation has been modeled in multi-component size systems as a process of mutual sorting between each size species. The concept of mutual sorting is introduced from which generalized expressions are derived for the rates of change of the local concentration of each size species. In a binary system, the expressions simplify to give the expected result that the segregation rates for the large and small particles are equal but of opposite sign. Also, in these systems, the segregation rate is described by measuring the rising speed of the interface between the small and large particles. In ternary systems, the mutual sorting which occurs as a result of shaking takes place between each adjacent size, i.e., the rate between the small and large disks, and the rate between small and intermediate disks . This idea is easily extended to n-component systems. It is possible to predict the order in which the size species are sorted depending on the particle size ratios using the derived expressions. Monte Carlo simulations are used to substantiate the relations in several case studies of a ternary system.
Recommended Citation
Lan, Yidan, "The rate of vibrational segregation in particulate materials" (1989). Theses. 2821.
https://digitalcommons.njit.edu/theses/2821
