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    $\begingroup$ The mathematical expression explains it. The dimensionless expression for efficiency you show implies, at the right end of the curve, that the fan is consuming power to keep turning, but is not adding any power to the air flow. I.e. an external device would be doing the work to blow the air into the input already at the maximum velocity. This efficiency expression is dimensionless, which is nice for theory. You could use another figure of merit, such as air flow per power input, for a particular input and output condition (eg open air, or in some duct geometry that your system has). $\endgroup$
    – Pete W
    Commented Mar 23 at 14:31