Changing the Reynolds number of a given pump by changing viscosity or speed, changes its efficiency but experiments have shown that the efficiency changes cannot be represented by the conventional formulae having Reynolds number raised to a fixed power. This is also true when Reynolds number is changed by using pumps of different sizes and a fluid of constant viscosity.nIn addition, the variations of efficiency with Reynolds number are not the same in the two cases. In the first case, the changes in efficiency over a wide range of Reynolds number are modest but in the second efficiency changes are much greater.
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