As well known, the complete similarity affinity laws are derived from the dimensional analysis techniqe of seven parameters that describe the pump performance; density, viscosity, D, speed, Q, h, and P . The analysis is based on a fixed length scale ratio that the conditions of the machines are geometrically similar. The complete affinity laws were developed which provide the three famous basic nondimentional coefficients, CQ, Ch, and CP. Here, one can change speed, size, or both, and predict the new performance parameters while keeping the pump efficiency mostly fixed according to the system behavior. However, to reduce costs pump casings are designed to accommodate a number of different impellers while keeping the same shaft. This leads to incomplete similarity as we don’t have a fixed length scale ratio for all pump components. Hence, the nondimentional coefficients are somehow expected to be changed.

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