Cascade Separation of Powders

In chapter VII we described the mathematical models of separation into two components. Attention will now be given to the algorithms of separation of material into n components for ensuring the highest possible efficiency.
It is assumed that we have a material consisting of particles with the size from a 0 to a n and it is required to separate the material into n components in respect of the given boundaries. The method of separation may be described as follows: the material is separated in respect of some boundary into two components and, subsequently, every components is separated in respect to one of the internal boundaries into new two components, and so on, until the material is separated in respect of all boundaries. In this case, it is necessary to solve the problem of determination of the order of the separation boundaries for attaining the maximum efficiency of separation. The efficiency is calculated from the equation:
Let us examine the first algorithm of solving this problem.
Initially, we determine the results of separation for each of the boundaries into two components for all parameters of equipment and the process (the area of introduction of the material into apparatus i *, the number of stages in apparatus z, the velocity of the airflow w). Subsequently, for each of the separation products determined in the calculations, it is necessary to calculate...