The presented study demonstrates the enormous potentials of translating mathematical expressions into their relevant physical meanings. In the past, such translations have proven capable of explaining the cause(s) of phenomena, which seemed to defy all principles of common sense. In other cases, they were able to rectify deeply rooted misconceptions, which haunted the engineers for many decades. Among others, they have revealed the need for revising everything what has been done in the last eight decades in relation to the head developed by an impeller. All the above conclusions are here supported by actual case histories from past experience. The discussions presented in this study relate directly to the design of centrifugal and other rotodynamic pumps. However, there exist strong indications, that such translations may prove equally useful also in other fields of engineering.

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