Optimization to minimum mixing work

Optimization With Respect to Minimum Mixing Work 

The decision about which stirrer type is the most suitable under particular material and geometric conditions for the homogenization of a liquid mixture without density and viscosity differences, can only be answered by coupling the mixing time and power characteristics. Optimum conditions are then realized, under which this process can be carried out with the minimum mixing work PO [Ws = J]. 

The question posed is which stirrer type realizes for a given material system and given tank (tank diameter D) the required mixing time 0 with the lowest power and hence the minimum mixing work (P0 = min).  

In this question in the first instance neither the stirrer diameter nor its speed is therefore of interest. The relevance list is as follows  

Both these numbers can be obtained from the known Ne, n.0 and Re numbers with the assistance of the (also known) diameter ratio D/d. The following applies  

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