Scale-up Under Conditions of Partial Similarity

Zlokarnik M. Scale-up under conditions of partial similarity. Int Chem Eng 1987 27 1-9. 

We have to realize that sometimes requirements concerning physical properties of model materials exist that cannot be implemented. In such cases only a partial similarity can be realized. For this, essentially only two procedures are available (for details see Refs. 5 and 10). One consists of a well-planned experimental strategy in which the process is divided into parts, which are then investigated separately under conditions of complete similarity. This approach was first applied by William Froude (1810-1879) in his efforts to scale-up the drag resistance of the ship s hull. 

Historical credit goes to Gerhard Damkohler (1908-1944) who was the first to use the theory of similarity [113] to investigate a chemical process in conjunction with mass and heat transfer. In a purely theoretical way he examined the conditions under which scale-up would be possible in the case of (inevitably) partial similarity and he... 

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