In order to utilize, in the design of continuous vibration mills, the results of the tests hitherto performed of batch vibration mills, in the way of collecting data for their grinding efficiency, an attempt was made to plot the tested samples on one graph, choosing five that were found fit for the comparative studies of both the vibration mills, batch and continuous, in respect of their respective grinding capacity, based on the parameter common to them.
For this purpose the common parameters, τ=αωJ/U·t for batch grinding, and τ=αωJ·ρ'V/P for continuous grinding were introduced. In the case of continuous grinding, the mean retension time in the drum T was calculated by the relation T=WD/P, and WD was eliminated by using U=WD/ρ'V. This T was equalized with the batch grinding time t.
By using the results of these operations, it was proved that the data of the batch grinding system and the continuous grinding system which had the strainer type outlet were plotted on one curve of ΔS-τ graph, although in some examples, the batch grinding data were slightly better.
Then there was found coincidence to be in particle size distribution in both the grinding system, batch and continuous, having the same τ values.
However, there are many problems to be solved, such as the negative size effect of scaled up drums, and their comparison at critical specific surface value.
Further studies will be made to confirm this relationship by collecting necessary data.