Department of Physics Papers

Document Type

Journal Article

Date of this Version

3-2011

Publication Source

Physical Review E

Volume

83

Issue

3

Start Page

031303-1

Last Page

031303-8

DOI

10.1103/PhysRevE.83.031303

Abstract

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.

Copyright/Permission Statement

© 2011 American Physical Society. You can view the original article at: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.83.031303

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Date Posted:10 October 2017

This document has been peer reviewed.