Date of this Version
Physical Review E
We report on the erosion of flat linoleum “pebbles” under steady rotation in a slurry of abrasive grit. To quantify shape as a function of time, we develop a general method in which the pebble is photographed from multiple angles with respect to the grid of pixels with a digital camera. This reduces digitization noise and allows the local curvature of the contour to be computed with a controllable degree of uncertainty. Several shape descriptors are then employed to follow the evolution of different initial shapes toward a circle, where abrasion halts. The results are in good quantitative agreement with a simple model, where we propose that points along the contour move radially inward in proportion to the product of the radius and the derivative of radius with respect to angle.
© 2011 American Physical Society. You can view the original article at: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.83.031303
Roth, A. E., Marques, C. M., & Durian, D. J. (2011). Abrasion of Flat Rotating Shapes. Physical Review E, 83 (3), 031303-1-031303-8. http://dx.doi.org/10.1103/PhysRevE.83.031303
Date Posted: 13 October 2017
This document has been peer reviewed.