SPLINE SOLUTION OF THE CONTINUOUS BATCH GRINDING EQUATION

The batch grinding equation for the case of a continuous particle size distribution is difficult to solve analytically. In the cases where s olutions have previously been obtained, simplified assumptions were ma de about the functional forms of the selection and breakage functions which has limited practical application. A numerical procedure that em ploys cubic B-splines and a Galerkin technique has been developed to s olve the continuous batch grinding equation. This approach has the adv antage that the selection and breakage functions can have complicated functional forms characteristic of practical situations, An initial pa rticle size distribution with any functional form may, also be handled . Results are presented using the present method which compare very we ll with experimental data.