A Kinetic Approach to Interference Effects in the Grinding of Binary Mixtures

When using grinding time for a batch grinding operation as a measure of the energy usefully employed for comminution; the assumptions made are often not valid. A kinetic approach, based on a study of the rate constant, or k, value for the material is more acceptable. The Rosin-Rammler distribution equation has been theoretically derived from the general equation for first-order batch grinding. This relationship, incorporating a term for k, was used in a study of the rod milling of a binary mixture of quartz and limestone.The presence and degree of interaction between the components was considered by comparing the size distribution of the mill product with that predicted by assuming the overall distribution equal to the sum ofthe distributions given by the Rosin-Rammler equations for each component weighted according to its volume fraction in the mixture. The interaction was found to be complex and particularly sensitive to particle size.A simple graphical procedure was devised to predict the size distribution of the mill. Product components and this gave a fairly good approximation to experimental data.