Solution of Batch Grinding Equation

Abstract

An analytical solution of the batch grinding equation for S(x)β(y, x) = Kxn{y/x)m is found by using a few approximations; S(x) is the selection function, B(y, x) the breakage function, x the original size, y the particle size, and K, m, n are the constants. Except for very short milling time, the solution is virtually the same as Harris’ solution, which is derived by assuming that the selection function is time-dependent and correlated to the breakage function. © 1973, American Chemical Society. All rights reserved.