Jamming of mixed and homogenous hard spheres in a two-dimensional hopper
Abstract
This work combines theory and experimentation to explain the jamming of hard spheres in a two dimensional (2D) hopper. While there are literature exploring the jamming of homogenous spheres in a 2D hopper using variants of a random walk model, this is the first time that jamming of mixed spheres is investigated. We develop a mechanism based model of the system by calculating the exact forces and torques necessary to bring about jamming. Results of this force geometry framework is then incorporated to a simple jamming paradigm which allows us to analytically predict the trend of actual clogging incidence of mixed and homogenous hard spheres in a 2D hopper.